THUCYDIDES’S TRAP — U.S.–CHINA RIVALRY © CosmoSapien@gmx.com, All Rights Reserved. October 2026 • Analytical paper • 1 Thucydides Trap and the U.S.–China Rivalry An Analytical Framework for Historical Power Transitions and U.S.-China Conflicts A working paper prepared as analytical research | Information current through October 2026 Abstract . This paper revisits Graham Allison’s Thucydides Trap framework through the sixteen historical cases assembled by Harvard’s Belfer Center, then develops a structured analytical model for distinguishing conditions associated with war from those associated with peaceful power transition. The model separates material power shifts from strategic geography, military conversion, resource vulnerability, alliances, perceptions, economic interdependence, institutions, and nuclear deterrence. It adds a further variable that is often discussed but insufficiently specified: the opportunity cost of war relative to the strategic benefits that each side could obtain from a successful conflict. Applied to the United States and China, the analysis finds substantial incentives for both sides to compete, but materially higher costs than benefits from deliberately initiating a major war under baseline conditions. The most consequential exception is a Taiwan-centered crisis, where the strategic objectives on both sides are unusually important and could overwhelm economic restraint. The scenario estimates therefore treat prolonged competition without major war as the modal outcome, while assigning a non-trivial probability to limited conflict and a lower probability to major war. Keywords: power transition; Thucydides Trap; United States; China; Taiwan; deterrence; economic interdependence; opportunity cost; war incentives 1. Scope, attribution, and method The sixteen-case universe, the ruling/rising classifications, and the basic finding that twelve cases ended in war and four did not are drawn from the Harvard Kennedy School Belfer Center’s Thucydides Trap Case File and its methodology. [1,2] The historical interpretations in this paper are paraphrases and syntheses of the cited material. No extended source passages are reproduced. Short quotations are explicitly marked and attributed. The paper does not treat Allison’s historical set as a statistical sample. The cases were selected for analytical relevance rather than random sampling, and they span radically different economic, technological, institutional, and military environments. The quantitative framework is therefore a structured judgment model. Where reliable numerical data exist, the paper uses them; where measurement would create false precision, the factor remains qualitative or ordinal. 2. The sixteen historical cases Table 1 provides case-by-case analysis while the distinction between economic conflict, post-shift economic rebalancing, and non-economic forces. The case descriptions are principally attributed to Belfer [1,2]; the economic causal interpretation is analytical synthesis. Table 1. The sixteen Thucydides Trap cases and principal economic and geopolitical mechanisms. Source: Belfer Center [1,2]. No. Time/War-Peace Ruling/Rising Economic conflict / source of pressure Economic rebalancing / post-shift outcome Other significant causal factors 1 Late 15th c. — Peace Portugal / Spain Trade, exploration, colonial claims, and competition for New World access. Treaty of Tordesillas partitioned claims; both retained incentives to avoid mutual destruction and later shared interests against outside competitors. Spain’s rise was real, but papal mediation and legitimacy costs created a credible off-ramp. [1] THUCYDIDES’S TRAP — U.S.–CHINA RIVALRY © CosmoSapien@gmx.com, All Rights Reserved. October 2026 • Analytical paper • 2 No. Time/War-Peace Ruling/Rising Economic conflict / source of pressure Economic rebalancing / post-shift outcome Other significant causal factors 2 First half 16th c. — War France / Habsburgs Continental primacy, Italy, territory, dynastic security, and control of strategic corridors. Repeated wars redistributed territory and influence rather than producing stable accommodation. Geographic proximity, dynastic rivalry, coalition politics, and fear of encirclement amplified the power shift. [1] 3 16th–17th c. — W Habsburgs / Ottoman Empire Territory, trade routes, Balkan and Central European security, Mediterranean power. Armistices and territorial settlements repeatedly paused conflict but did not eliminate the structural rivalry. Expansion collided with strategic geography; religion and frontier security intensified the contest. [1] 4 Early 17th c. — W Habsburgs / Sweden Baltic access, continental influence, trade routes, and military control in northern Europe. Peace followed changing coalition and territorial balances. Religious and dynastic conflict, Baltic strategy, and coalition intervention mattered alongside power transition. [1] 5 Mid–late 17th c. — W Dutch Republic / England Commercial and maritime competition, shipping, trade privileges, and colonial access. War occurred repeatedly before England’s naval/financial system eventually became dominant. Commercial rivalry was inseparable from naval power and the ability to protect trade. [1] 6 Late 17th–mid-18th c. — W France / Great Britain Colonial trade, naval access, North American and Caribbean resources, European balance. Britain’s naval and financial advantage ultimately reshaped the international system. France’s search for security and British coalition-building converted economic rivalry into repeated wars. [1] 7 Late 18th–early 19th c. — W United Kingdom / France Continental control, colonial commerce, finance, and sea-lane security. British maritime/financial power survived; France was contained and then accommodated within a new European order. Revolutionary ideology, Napoleon’s continental ambitions, coalition dynamics, and geography were decisive. [1] 8 Mid-19th c. — W France + United Kingdom / Russia Black Sea access, Ottoman strategic position, trade routes, and influence in southeastern Europe. Russia’s strategic position was checked; the settlement temporarily preserved the balance. Third-party Ottoman interests, geography, logistics, and alliance formation were central. [1] 9 Mid-19th c. — W France / Germany Continental leadership, security, territory, and the political-economic consequences of German unification. German victory created a new continental balance rather than a negotiated power transfer. Nationalism, territorial disputes, military mobilization, and the fear of a dominant Germany mattered. [1] 10 Late 19th–early 20th c. — W China + Russia / Japan Korea, Manchuria, ports, trade, resources, and East Asian strategic access. Japan established itself as a major regional power after defeating China and Russia. Rapid modernization translated economic growth into military power; geography and resource needs made expansion strategically attractive. [1] 11 Early 20th c. — P United Kingdom / United States Commercial competition, naval power, and divergent interests in the Western Hemisphere. Britain accommodated U.S. predominance; economic ties and common interests reduced incentives for confrontation. Geographic separation, cultural/political affinity, diplomacy, and a mutually acceptable redistribution of influence were important. [1] 12 Early 20th c. — W United Kingdom (with France, Russia) / Germany Industrial output, trade, naval power, colonial interests, and continental security. World War I destroyed the old balance rather than resolving it peacefully. Alliance commitments, mobilization schedules, nationalism, German strategic fears, and the rapid growth of Russia increased escalation pressure. [1] 13 Mid-20th c. — W Soviet Union + France + United Kingdom / Germany Industrial and military power, European strategic control, resources, and political order. Germany was defeated and Europe divided into rival blocs. Ideology, revisionism, territorial expansion, alliances, and the failure of deterrence/accommodation were major contributors. [1] 14 Mid-20th c. — W United States / Japan Oil and other strategic resources, Pacific trade, regional control, and competing security orders. War ended Japan’s expansion and produced a new U.S.-led order in East Asia. Resource dependence, embargoes, territorial expansion, geography, and incompatible strategic objectives sharply reduced peaceful exit options. [1] 15 1940s–1980s — P United States / Soviet Union Competing economic systems, global influence, technology, resources, and military reach. No direct great-power war; rivalry was managed through deterrence, alliances, arms control, crises, and indirect conflicts. Nuclear deterrence dramatically raised the cost of direct war; geographic separation and institutionalized crisis management also mattered. [1] THUCYDIDES’S TRAP — U.S.–CHINA RIVALRY © CosmoSapien@gmx.com, All Rights Reserved. October 2026 • Analytical paper • 3 No. Time/War-Peace Ruling/Rising Economic conflict / source of pressure Economic rebalancing / post-shift outcome Other significant causal factors 16 1990s–present — P United Kingdom + France / Germany European political influence and the economic weight of reunified Germany. Germany’s power was embedded in European institutions and an integrated economic order. Institutional integration, German strategic restraint, interdependence, and a shared European framework transformed relative power from a threat into a source of collective capacity. [1] 3. Proposed Analytical Framework: from power transition to war or peace The historical cases suggest that relative power change is a necessary background condition but not a sufficient cause of war. A more useful model treats war as the product of interacting pressures. The same rise in economic capability can produce either confrontation or accommodation depending on whether the incumbent and rising power can find a stable distribution of influence, whether strategic space is contested, and whether leaders believe waiting is more dangerous than acting. Table 2. Analytical framework derived from the historical cases. Factor What it captures Quantifiability Expected effect A. Relative power shift GDP, industrial capacity, growth differential, military expenditure, technology Usually measurable Narrowing power gaps increase transition pressure. B. Military conversion Ability to convert wealth into deployable force, readiness, logistics, mobilization Partly measurable Economic growth is more threatening when it creates usable military options. C. Strategic-space conflict Territory, sea lanes, resources, buffers, regional military access Mixed Directly contested strategic space sharply increases escalation pressure. D. Resource vulnerability Energy, critical minerals, technology, food, finance, supply-chain dependence Measurable in selected sectors Vulnerability can encourage coercion, stockpiling, or preemption. E. Alliance structure Formal alliances, partner capabilities, basing, coalition incentives Partly measurable Alliances can deter aggression or widen a local crisis. F. Future-power expectations Beliefs about whether the balance will become more or less favorable Poorly measurable Fear of future disadvantage can create preventive-war incentives. G. Ideological/regime incompatibility Competing political models, nationalism, legitimacy claims Qualitative Raises distrust and lowers willingness to compromise. H. Security-dilemma behavior Reciprocal military/economic measures interpreted as offensive Qualitative/event- coded Creates action–reaction cycles that amplify risk. I. Economic interdependence Trade, investment, supply chains, financial exposure Measurable Raises the cost of war but can also create coercive leverage. J. Institutions and off-ramps Treaties, hotlines, mediation, arms control, economic agreements Partly measurable Creates ways to de-escalate without capitulation. K. Nuclear deterrence Survivable nuclear forces and escalation consequences Broadly measurable Raises the expected cost of deliberate major- power war. L. Opportunity cost of war Foregone trade, investment, growth, technology access, financial stability and domestic welfare Partly measurable Large opportunity costs create an economic restraint on war. 4. Quantification and scoring The War-Pressure Index (WPI) combines factors A–H and the inverse of restraints I–L. The Peace-Restraint Index emphasizes interdependence, institutions, nuclear deterrence, and the economic opportunity cost of war. THUCYDIDES’S TRAP — U.S.–CHINA RIVALRY © CosmoSapien@gmx.com, All Rights Reserved. October 2026 • Analytical paper • 4 Scores are assigned from 0 to 5. A score of 5 means the factor is strongly present in the direction being measured; it does not mean a 5-unit increase in actual war probability. The weights are deliberately modest and transparent rather than statistically estimated. They are intended to discipline the reasoning, not to create a pseudo-scientific forecast. In particular, the historical cases are too few and too heterogeneous to estimate causal coefficients credibly. WPI = 0.150A + 0.117B + 0.117C + 0.067D + 0.083E + 0.083F + 0.058G + 0.075H + 0.033(5-I) + 0.050(5-J) + 0.083(5-K) + 0.084(5-L) Note: rounded coefficients add to 1.000 5. U.S.–China: current material and strategic balance Table 3. U.S.–China framework scores, October 2026. Scores are author’s structured judgments, not statistical estimates. Factor Score Current evidence Interpretation A. Relative power shift 4.0/5 China is larger on 2025 GDP at purchasing-power parity, while the United States remains larger on nominal GDP. World Bank data put 2025 nominal GDP at roughly $30.8 trillion for the United States and $19.5 trillion for China; PPP GDP is roughly $30.8 trillion and $41.3 trillion, respectively. China’s 2025 growth was 5.0% versus 2.2% for the United States. [5,6] High transition pressure, but no simple replacement. B. Military conversion 4.0/5 SIPRI estimates 2025 military expenditure at $954 billion for the United States and $336 billion for China. China’s spending rose 7.4%; U.S. spending fell 7.5% in 2025. [7] High regional pressure; global balance remains mixed. C. Strategic-space conflict 5.0/5 Taiwan, the Taiwan Strait, the South China Sea, East China Sea, and access to the Western Pacific connect geography directly to security and alliance commitments. [3,8] Very high pressure. D. Resource vulnerability 4.0/5 Critical minerals, advanced semiconductors, energy, manufacturing inputs, finance, and technology controls create reciprocal leverage. [3,9] High coercive leverage. E. Alliance structure 4.0/5 The United States operates through formal alliances and security partnerships across the Indo-Pacific. China has extensive partnerships but a different alliance structure. [3] Deterrence and crisis-amplification effects coexist. F. Future-power expectations 4.5/5 Both sides have incentives to worry about how the balance may evolve, increasing pressure to improve relative military and technological positions. [3,7] High security-dilemma pressure. G. Ideological/regime differences 3.5/5 Political-system differences and competing views of regional order contribute to distrust, but they do not mechanically produce war. [3,8] Meaningful secondary pressure. H. Security-dilemma behavior 4.0/5 Military deployments, exercises, export controls, tariffs, maritime encounters and countermeasures create reciprocal action–reaction dynamics. [3,10] High escalation sensitivity. I. Economic interdependence 3.5/5 restraint U.S. goods and services trade with China totaled about $494.6 billion in 2025. [4] Substantial restraint, but also a source of leverage. J. Institutions/off- ramps 3.0/5 restraint The two governments continue to negotiate trade and economic arrangements, but crisis-management mechanisms remain less institutionalized than the economic relationship itself. [3,10] Moderate restraint. K. Nuclear deterrence 4.5/5 restraint SIPRI estimated at least 600 Chinese nuclear warheads at the beginning of 2025; both states possess survivable nuclear forces. [11] Very strong restraint against deliberate total war. L. Opportunity cost of war 4.5/5 restraint A Taiwan conflict could disrupt more than $2 trillion in economic activity before sanctions and military escalation are included; China, the United States and their partners would all face major trade, finance and supply-chain losses. [12,13] Very strong economic restraint. Using the scoring in the above table, we have: WPI (U.S.—China) = 3.36/5 THUCYDIDES’S TRAP — U.S.–CHINA RIVALRY © CosmoSapien@gmx.com, All Rights Reserved. October 2026 • Analytical paper • 5 6. The opportunity cost of a U.S.–China war Opportunity cost is broader than the direct expense of fighting. It is the value of economic activity, investment, technological progress, financial stability, and domestic priorities that each country would sacrifice by choosing war rather than continued competition. This factor should be included explicitly because it changes the threshold at which leaders would rationally accept military risk. The existing economic relationship is large enough to create a meaningful restraint. USTR reports that U.S. goods and services trade with China totaled approximately $494.6 billion in 2025, including $414.6 billion in goods and $80.0 billion in services. [4] Trade is not equivalent to GDP loss, so the $494.6 billion figure should not be interpreted as the amount either country would automatically lose in a war. More useful estimates come from scenario studies. Rhodium Group estimated that a hypothetical broad decoupling involving 25-percent tariffs on all two-way U.S.–China trade could reduce U.S. GDP by roughly $190 billion annually by 2025, while a forced sale of half of U.S. foreign direct investment stock in China could produce one-time GDP losses of up to $500 billion. Those estimates predate the current relationship and are not war forecasts, but they illustrate the scale of economic opportunity cost. [14] For a Taiwan-centered conflict, Rhodium estimated that well over $2 trillion of economic activity could be disrupted by a blockade even before international sanctions or military escalation. CSIS estimates that approximately $2.45 trillion of goods—more than one-fifth of global maritime trade—transited the Taiwan Strait in 2022, including about $1.4 trillion of Chinese imports and exports. [12,13] Rhodium separately estimates that a maximalist G7 sanctions scenario could place at least $3 trillion in trade and financial flows at immediate risk. [15] China’s opportunity cost is not merely lost exports. Rhodium estimates that more than 100 million Chinese jobs depend on foreign final demand, with nearly 45 million dependent on G7 demand. A major conflict could therefore combine lost external demand with capital flight, sanctions, technology restrictions, disrupted trade finance, and damage to productive infrastructure. [15] The United States would also bear substantial costs: disrupted imports and supply chains, loss of Chinese demand for U.S. goods and services, financial-market shocks, higher defense expenditures, disruption of semiconductor and electronics supply chains, and potentially severe global recessionary effects. CSIS cites earlier RAND modeling in which a yearlong U.S.–China war reduced estimated Chinese GDP by 25–35 percent and U.S. GDP by 5–10 percent; that study did not include all sanctions, supply-chain, cyber, or infrastructure effects and should therefore be treated as an illustrative historical model rather than a current forecast. [8] The critical analytical point is that opportunity cost is asymmetric by sector but not one-sided overall. China has greater exposure to foreign demand, shipping, imported energy and financial sanctions; the United States has greater exposure to global capital markets, Chinese manufacturing inputs, consumer prices, and the global economic shock. Neither side can plausibly assume that the other absorbs the economic consequences alone. 7. What could each side gain from winning a war? “Benefit” must be defined carefully. A successful war would not necessarily create net economic wealth. In modern interstate conflict, the principal potential benefits are strategic: changing the regional balance, achieving political objectives, protecting or denying military access, preserving alliance credibility, and changing the rules under which the other side operates. The economic benefits are secondary and highly uncertain because infrastructure, trade, human capital, and markets can be destroyed rather than captured intact. Table 4. Potential benefits of a successful war, defined as achievement of strategic objectives rather than economic profit. Side / potential benefit Mechanism Potential strategic value Important qualification THUCYDIDES’S TRAP — U.S.–CHINA RIVALRY © CosmoSapien@gmx.com, All Rights Reserved. October 2026 • Analytical paper • 6 Side / potential benefit Mechanism Potential strategic value Important qualification China: political objective Potential achievement of national reunification and a major symbolic objective identified by Chinese government sources as part of national rejuvenation. [16] Very high if achieved The strategic value is political and national-security related; it is not equivalent to economic profit. China: regional military position Removal or reduction of Taiwan as a separate military position and possible increase in China’s operating depth in the Western Pacific. High if achieved intact Depends heavily on the condition of Taiwan, the U.S. response, and the postwar regional coalition. China: alliance credibility A successful outcome against U.S.-supported resistance could reduce confidence in U.S. regional commitments. High but uncertain Could instead strengthen balancing coalitions if the conflict is costly or prolonged. China: economic integration Chinese government documents argue that reunification could expand market integration and supply-chain complementarities. [16] Potentially high in a peaceful scenario; uncertain after war A war could destroy semiconductor capacity and trigger sanctions, making the postwar economic benefit far smaller than the theoretical peacetime benefit. United States: status-quo preservation If U.S. and partner forces successfully prevent a coercive change in the Taiwan Strait, the existing regional security arrangement could be preserved. High if the objective is defined as preventing unilateral coercion This is consistent with longstanding U.S. policy opposing unilateral changes to the Taiwan status quo and maintaining capacity to resist coercion. [17] United States: alliance credibility A successful defense of an ally or partner’s security position could reinforce confidence in U.S. security commitments. High but uncertain A costly war could also strain alliances and domestic support. United States: regional balance and access Preservation of access to the Western Pacific and existing freedom-of-navigation arrangements could be maintained. High if achieved The economic value comes from preserving a broader regional order rather than acquiring territory. United States: technology and supply chains A favorable outcome could prevent coercive control over Taiwan’s advanced technology ecosystem and preserve diversified access. Moderate to high, but highly contingent A war could itself destroy or interrupt semiconductor capacity, reducing this benefit substantially. “National reunification is an essential step towards national rejuvenation.” [16] Chinese government statement, 2022 white paper; quoted here to document the stated strategic objective, not to endorse the claim. 8. War-benefit versus war-cost tradeoff The central incentive question is not whether either side could identify benefits from victory. Both could. The relevant question is whether the expected strategic benefit, multiplied by the probability of achieving it, exceeds the expected direct and opportunity costs of war, including the probability of escalation beyond the initial objective. Table 5. Structured comparison of potential war benefits and costs. Scores are ordinal judgments, not monetary valuations or forecasts. Side Potential strategic benefit Expected cost/opportunity cost Analytical interpretation Baseline incentive United States 3.8/5 4.4/5 Strategic benefits are substantial if war preserves the existing regional order, but the economic, military and escalation costs are exceptionally high. Cost-heavy under baseline assumptions. China 4.0/5 4.6/5 The strategic objective of reunification is unusually important in official Chinese statements, but military failure, sanctions, trade disruption and damage to Taiwan’s productive base could impose extraordinary costs. Cost-heavy under baseline assumptions. These scores should not be read as saying that the United States or China has exactly the same type of incentive. China’s potential benefit is more transformative: successful coercion over Taiwan could alter sovereignty, regional military geography, and the perceived distribution of power. The U.S. potential benefit is principally preservational: preventing a coercive change to the regional order and maintaining alliance credibility and THUCYDIDES’S TRAP — U.S.–CHINA RIVALRY © CosmoSapien@gmx.com, All Rights Reserved. October 2026 • Analytical paper • 7 access. That difference matters because a rising power may perceive greater value in changing the status quo, while an incumbent may perceive greater value in preventing change. At the same time, the cost side is unusually large for both. A failed or prolonged campaign could impose military losses, sanctions, economic contraction, capital-market disruption, alliance realignment, and nuclear escalation risk. Consequently, a rational cost-benefit comparison does not imply that the side with the larger strategic objective has a greater overall incentive to start a war. The probability of achieving the objective is critical. 9. Expected-value logic: why the probability of success matters A simple decision model is useful: Expected Net Strategic Value ≈ P(success) × Benefit − P(failure) × Failure Cost − Expected War Cost − Opportunity Cost. This is not a prediction equation; it is a way to identify what must be true for war to become attractive. For China, the probability of achieving a rapid and politically sustainable objective matters greatly. If a conflict becomes prolonged, draws in the United States and major regional allies, damages Taiwan’s infrastructure, disrupts Chinese trade, and produces broad sanctions, the expected benefit falls while the expected cost rises. For the United States, the same logic applies in reverse: a prolonged defense that fails to restore the desired status quo could impose enormous costs even if the United States avoids defeat in a narrow military sense. This is why military balance should not be reduced to aggregate defense spending. The decisive quantity is expected usable power in the specific theater, adjusted for geography, readiness, logistics, allies, industrial replacement capacity, escalation control, and political endurance. 10. Updated ten-year scenario assessment The scenario probabilities below are estimates of the probability of each overall outcome, not probabilities of “peaceful resolution” versus “war” alone. The first two scenarios involve continued competition without major war; the latter two involve military conflict. They are conditional judgments for approximately 2026–2036, not official forecasts. Table 6. Illustrative ten-year outcome distribution. Author’s structured estimate; not a statistical forecast. Scenario Illustrative probability Mechanism Strategic implication 1. Managed strategic competition 50% Economic and technology rivalry continues; military deterrence remains active; crises are contained through bargaining and signaling. No major war. The power transition remains unresolved. 2. Intensified economic/technology competition without major war 25% Tariffs, export controls, critical-mineral leverage and supply-chain diversification deepen, but military escalation remains below sustained combat. Greater economic separation and parallel technology ecosystems. 3. Limited military conflict or prolonged armed crisis 15% A Taiwan Strait, maritime, air, cyber or other incident crosses the threshold into limited combat before leaders restore containment. Serious economic and military disruption without necessarily becoming total war. 4. Major U.S.–China war 10% Deterrence and off-ramps fail; sustained conventional combat occurs with substantial escalation risk. Extremely high global economic and security disruption. The opportunity-cost analysis reinforces, rather than eliminates, the importance of deterrence. The economic cost of war is large enough to discourage deliberate escalation under ordinary bargaining conditions, but leaders may discount economic losses if they believe a core national-security objective is at stake or if they believe the THUCYDIDES’S TRAP — U.S.–CHINA RIVALRY © CosmoSapien@gmx.com, All Rights Reserved. October 2026 • Analytical paper • 8 opponent’s future power will become much harder to constrain. The principal danger is therefore a crisis in which strategic stakes are reclassified from negotiable to existential. 11. What would move the probabilities? Table 7. Variables most likely to change the scenario distribution. Driver Direction of effect Why it matters Taiwan Strait status quo Toward conflict if coercive change, blockade, invasion preparations, or irreversible political moves are perceived. Largest single swing factor. U.S. alliance credibility Toward restraint if deterrence is credible; toward instability if partners doubt U.S. commitments. Changes expected success probabilities on both sides. PLA regional capability Toward conflict if Chinese leaders perceive a rapidly closing window; toward restraint if deterrence becomes clearly costly. Changes perceived future-power trajectory. Chinese economic resilience Toward restraint if war threatens severe domestic economic disruption; ambiguous if economic stress increases incentives for external action. Affects opportunity cost and leadership calculations. U.S. industrial and technological resilience Toward restraint if China expects a durable U.S. coalition and replacement capacity; toward risk if the U.S. advantage appears to erode rapidly. Changes expected duration and cost of conflict. Economic interdependence Toward restraint while commercial losses remain salient; toward conflict if interdependence is treated primarily as a coercive vulnerability. Can operate as both restraint and weapon. Nuclear stability Toward restraint against deliberate total war; potentially toward instability if escalation ladders become more complex. Raises the cost of miscalculation. Crisis-management channels Toward peace when leaders have credible ways to pause without appearing to concede. Directly reduces the probability that accidents become wars. 12. Historical interpretation: what produces war and what produces peace? War tends to emerge when relative power shifts coincide with a concrete dispute over strategic space, resources, or political order. France–Habsburg rivalry, Anglo-French colonial rivalry, Germany’s rise, and Japan’s expansion illustrate versions of this combination. [1] Preventive logic is particularly dangerous. If leaders believe the balance will become worse with time, they may accept present costs to avoid future disadvantage. This converts economic growth into a security problem even before the rising power overtakes the incumbent. Economic interdependence restrains war only when leaders believe commercial losses are real and recoverable. When trade and technology are reframed as security vulnerabilities, the same interdependence can produce sanctions, controls, stockpiling, and decoupling. Alliances have a dual effect. They can raise the cost of aggression and therefore deter it, but rigid commitments can also expand the number of actors whose credibility becomes attached to a local dispute. The 1914 experience is the clearest historical warning. Impacts of religion and racial roots are also examined (see Appendix A) but are determined as secondary. Peaceful transitions usually contain an accommodation mechanism: negotiated partition in the Portugal–Spain case, strategic accommodation between Britain and the United States, nuclear deterrence and crisis management during the U.S.–Soviet rivalry, or institutional integration in post-Cold-War Europe. [1] The most important common feature of peaceful cases is not the absence of power competition. It is the presence of a mechanism through which the rising power can gain influence without forcing the incumbent to accept existential defeat. THUCYDIDES’S TRAP — U.S.–CHINA RIVALRY © CosmoSapien@gmx.com, All Rights Reserved. October 2026 • Analytical paper • 9 13. Conclusion The above analytical framework changes the interpretation of Thucydides Trap from a simple power-transition story into an incentive-and-mechanism model. Relative power change creates pressure, but war requires additional mechanisms: contested strategic space, military conversion, expectations of future disadvantage, security-dilemma behavior, and weak off-ramps. Peace becomes more likely when accommodation, deterrence, interdependence, or institutions make the cost of changing the status quo greater than the expected benefit. For the United States and China, the structural power transition is significant but incomplete. China has greater economic scale on a PPP basis and rapidly expanding regional military capabilities, while the United States retains a larger nominal economy, greater military expenditure, extensive alliances, and deep global financial advantages. [5–7] The Taiwan Strait is the critical point at which these different dimensions of power intersect. The opportunity-cost analysis is therefore central. A major war would threaten hundreds of billions of dollars of bilateral economic activity and potentially trillions of dollars of global trade, investment, and financial flows. [4,12,15] The potential strategic benefits of victory are substantial for both sides, but they are conditional on success and on the ability to preserve the assets whose strategic value is being sought. A war that destroys semiconductor capacity, disrupts trade, triggers sanctions, or produces a prolonged military stalemate can convert a strategic objective into a net strategic loss. Under the assumptions used here, continued strategic competition without major war remains the modal outcome over the next decade. The principal reason is not that the conflict is inherently peaceful; it is that both sides face unusually large economic, military, alliance, and nuclear costs from escalation. The principal reason the risk remains material is that Taiwan and the broader regional order create objectives whose perceived value could cause leaders to discount those costs. The analytical task, therefore, is to monitor whether the expected benefit of changing the status quo is rising faster than the perceived opportunity cost of war. 14. Limitations The sixteen historical cases are curated and heterogeneous; their 12-to-16 war ratio is not a population probability. The scoring weights are judgment-based and have not been estimated through regression or machine learning. They are intended to make assumptions auditable. Trade, GDP, and military-spending measures do not map one-for-one into wartime capacity. Geography, readiness, industrial replacement, logistics, command systems, alliances, and political endurance can change outcomes materially. Economic activity at risk is not the same as GDP loss. Scenario studies often report trade, investment, or financial flows exposed to disruption because GDP effects depend on duration, substitution, sanctions, and second-order effects. Strategic benefits are especially difficult to monetize. The paper therefore uses ordinal strategic-value scores rather than assigning dollar values to sovereignty, alliance credibility, or regional influence. Scenario probabilities should be refreshed when major changes occur in Taiwan Strait military activity, U.S.– China diplomacy, alliance commitments, economic growth, technology controls, or nuclear posture. 15. Contact Author: cosmosapien@gmx.com THUCYDIDES’S TRAP — U.S.–CHINA RIVALRY © CosmoSapien@gmx.com, All Rights Reserved. October 2026 • Analytical paper • 10 16. References [1] Harvard Kennedy School, Belfer Center. “Thucydides Trap Case File.” Harvard University. https://www.belfercenter.org/programs/thucydidess-trap/thucydidess-trap-case-file [2] Harvard Kennedy School, Belfer Center. “Thucydides Trap: Resources and Methodology.” Harvard University. https://www.belfercenter.org/programs/thucydidess-trap/thucydidess-trap-resources-and-methodology [3] U.S. Department of Defense. “Senior Defense Official Briefs on the 2024 China Military Power Report.” 2024. https://www.defense.gov/News/Transcripts/Transcript/Article/4009708/senior-defense-official-briefs-on-2024-china- military-power-report/ [4] Office of the U.S. Trade Representative. “The People’s Republic of China — China Trade Summary.” 2026. https://www.ustr.gov/countries-regions/china-mongolia-taiwan/peoples-republic-china [5] World Bank. World Development Indicators: United States and China. 2026. https://data.worldbank.org/?locations=US-CN [6] World Bank. 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October 2026 • Analytical paper • 11 Appendix A. Impacts of Religion and Racial Roots Conceptual note. The term “racial roots” is used here in a historical, non-biolo