K1: Identify the key historical processes of history, from Antiquity to globalization, recognizing their political and social implications K2: To know the historical evolution of political institutions, from Antiquity to the present day, identifying their impact on government systems K5: Describe the actors, institutions, and processes that shape international relations, explaining their influence on the global landscape K6: To compare historical economic systems, relating them to their socio-political context from Antiquity to the present day K7: Relate social movements and struggles for civil rights to changes in social structures throughout history and analyze changes in cultural expressions (art, literature, religion) and their link to historical and political processes S1: Build solid historical and political arguments from a rigorous documentary base S2: Apply logical and creative thinking in solving complex historiographical and political problems S3: Experiment with research methodologies, simulating historical or political situations relevant to their analysis S4: Simulate geopolitical scenarios and international conflicts, demonstrating understanding of their implications S5: Demonstrate academic writing skills by crafting essays and articles based on original research S6: Perform critical analyses of historical and geopolitical maps, relating them to historical events and processes S7: Compose interdisciplinary research projects, integrating economic, sociological and cultural perspectives S8: Creating innovative approaches to address historical and political problems C1: Have critical and analytical skills evaluating historical sources and political texts to interpret their relevance in real contexts C2: Solve complex problems by adapting historical and political knowledge to propose effective solutions in contemporary situations C3: Actively participate in interdisciplinary projects to analyze historical and political phenomena from multiple perspectives

1. Introduction: The rational-choice paradigm in the social sciences. The use of deductive methods and the role of rationality. 2. Decision theory (I): Mathematical representation of individual preferences. The ¿median voter theorem¿ in questions of political competition. 3. Decision theory (II): Individual choice under uncertainty. Risk-aversion and expected utility. 4. Static, non-cooperative games (I): Common knowledge. The concept of strategic dominance. 5. Static games (II): Nash equilibrium. 6. Static games (III): Coordination failures and collective-action problems. The problem of multiplicity of equilibria. 7. Repeated games: ¿Folk theorems¿ and the emergence of norms of reciprocity and cooperation. Endogenous emergence of roles and institutions. 8. Theory of bargaining. 9. Games of imperfect information: Signaling games. Deterrence problems in situations of conflict (prevention and escalation). 10. Cooperative games: Criteria of resource allocation in groups.