This module provides exercises focused on backward induction, offering students the opportunity to apply the concepts learned in previous discussions. Students will solve various problems, reinforcing their understanding of how backward induction works in different scenarios.
Topics covered include:
Through collaborative work and guidance, students will refine their skills in utilizing backward induction effectively in extensive games.
This module introduces the fundamental concepts of game theory, focusing on its definition and the principles of rational choice. Students will explore:
Understanding these foundational elements is essential for delving deeper into strategic interactions and the dynamics of competitive behavior.
This module delves into the dynamics of interacting decision-makers in game theory. Students will learn about:
Through practical examples, the module highlights the significance of strategic thinking and foresight in competitive settings.
This module provides a comprehensive overview of strategic games and various examples that illustrate their principles. Students will examine:
By engaging with illustrative examples, learners will gain a practical understanding of the strategic elements at play in competitive scenarios.
This module introduces key concepts surrounding Nash equilibrium, including its importance in game theory. It includes:
Students will learn to identify and apply Nash equilibrium in various strategic environments.
This module explores various examples of Nash equilibrium, enhancing students' understanding of its practical applications. Key topics include:
By examining these scenarios, students will see how Nash equilibrium is used to predict outcomes in competitive situations.
This module introduces the concepts of altruism and the Prisoner's Dilemma as they relate to game theory. Students will explore:
By understanding these foundational dilemmas, students will appreciate the complexities of human interactions and strategy.
This module examines variants of the Stag Hunt game, along with the Hawk-Dove and Coordination games. Key points include:
Through comparative analysis, students will deepen their understanding of strategic interactions and their consequences.
This module discusses public good provision and the concept of strictly Nash equilibrium in the context of game theory. Topics covered include:
Students will learn to analyze situations where individual contributions affect collective outcomes.
This module focuses on best response functions, a crucial aspect of game theory. Students will learn about:
By the end of this module, students will have a solid grasp of how to utilize best response functions to analyze strategic interactions.
This module covers strictly and weakly dominated actions, essential concepts in game theory. Key topics include:
Through practical examples, students will learn to identify dominated actions in various strategic contexts and their impact on players' decisions.
This module introduces the concept of game theory, focusing on the theory of rational choice and the interaction between decision-makers. Students will learn:
This foundational knowledge is crucial for understanding more complex theories and applications in subsequent modules.
This module dives deeper into strategic games and the concept of Nash equilibrium. Key topics include:
Students will engage in practical exercises to solidify their understanding of these essential concepts.
This module illustrates the application of Nash equilibrium through various practical scenarios. Students will explore:
By analyzing these examples, students will understand the real-world relevance of Nash equilibrium.
This module focuses on mixed strategy Nash equilibrium, where players randomize their strategies. Key learning points include:
Students will engage in examples and exercises to grasp these concepts effectively.
This module introduces extensive games, which involve sequential moves rather than simultaneous actions. It covers:
Through examples, students will see how these concepts apply in various scenarios.
This module provides illustrations of extensive games and Nash equilibrium through practical case studies. Topics include:
Students will analyze these examples to understand the application of theoretical concepts in real-life scenarios.
This module focuses on the application of week domination in voting scenarios, where players might favor certain candidates or options. It covers:
Students will engage with practical exercises to solidify their comprehension.
This module explores different aspects of the Cournot model, focusing on how firms compete in quantity. It includes:
Students will analyze case studies and examples to understand the nuances of the Cournot competition.
This module examines further aspects and variations of the Cournot model, providing a comprehensive understanding. Key points include:
Students will engage with complex scenarios to enhance their analytical skills.
The "War of Attrition" lecture examines strategic interaction where players compete by enduring costs over time to win a prize. This module explores the dynamics of such contests, identifying the gameâs equilibrium where players decide how long to fight. Students will analyze real-world scenarios like company price wars and political standoffs using mathematical models and strategic thinking. The course provides insight into decision-making processes and strategies to outlast opponents, focusing on maintaining competitive advantage through endurance.
The "Second Price Sealed Bid" module delves into auction theory, focusing on the unique characteristics of second-price auctions where the highest bidder wins but pays the second-highest bid. This session elucidates the incentive structures that drive bidder behavior, encouraging honest bidding. Students will explore theoretical underpinnings and practical applications in various settings, from art auctions to online platforms. The lecture also discusses strategic advantages and potential pitfalls, equipping participants with analytical tools to approach auctions strategically.
This module explores "Further Aspects of Second Price Auction," deepening understanding of its strategic implications and variations. Students will examine case studies and empirical data to assess how slight changes in auction rules can influence outcomes. The session also covers bidder psychology and strategic manipulations, offering comprehensive insights into the complexities of auction markets. Practical exercises will consolidate learning, helping participants apply theoretical knowledge to real-world auction scenarios, enhancing their strategic acumen.
The "First Price Auction" module introduces students to the dynamics where the highest bid wins and pays their bid amount. This lecture highlights the strategic considerations bidders must weigh, including risk assessment and bid shading. By analyzing mathematical models and real-world applications, students will learn tactics to maximize their payoff while minimizing costs. The session also covers economic implications and strategic interactions, providing a robust framework to understand and predict auction outcomes effectively.
In the "All Pay Auction, Multi Unit Auction" module, students explore auction formats where all bidders pay regardless of winning, and auctions involving multiple identical items. This session discusses strategic behavior, highlighting differences from traditional auctions. Participants will investigate economic theory and practical implications, learning how these auctions influence participant strategies and market dynamics. Through case studies and examples, students gain insights into the applicability of these auction types in fields like public goods and resource allocation.
The "Accident Laws" module integrates legal and economic theory to analyze how game theory can explain and improve accident law efficiency. This lecture examines the strategic interactions involved in tort law, focusing on liability rules, risk distribution, and incentives for precautionary measures. Students will evaluate real-world legal systems, applying game-theoretic models to propose enhancements. The module provides an interdisciplinary approach, blending legal reasoning with economic strategy to foster a deeper understanding of accident law dynamics.
In "Mixed Strategy Nash Equilibrium: Introduction," students are introduced to situations where players randomize their strategies to achieve equilibrium. This module covers the fundamental concepts and motivations for using mixed strategies in games where no pure strategy equilibrium exists. Through examples and exercises, participants learn to calculate mixed strategy equilibria and understand their application in diverse strategic settings, including sports, business, and economics. The session lays the groundwork for more complex explorations of mixed strategies in subsequent lectures.
This module, "Mixed Strategy, Mixed Strategy Equilibrium," expands on the concepts introduced earlier by delving deeper into the formulation and analysis of mixed strategy equilibria. Students will study complex games involving randomization, learning to identify and interpret equilibria within these contexts. The lecture offers a blend of theoretical exploration and practical application, equipping students with advanced tools to tackle problems where strategic uncertainty and variability are key components of decision-making.
In "Mixed Strategy Equilibrium: Concept and Examples," the focus shifts to detailed analysis and interpretation of mixed strategy equilibria across various game scenarios. This module provides students with comprehensive examples, illustrating how these concepts apply in real-world situations such as market competition and conflict resolution. Participants will engage with exercises designed to reinforce their ability to identify and utilize mixed strategy equilibria effectively, enhancing their strategic thinking and problem-solving skills.
The "Characterisation of Mixed Strategy Equilibrium" module offers an in-depth exploration of the properties and implications of mixed strategy equilibria. Students will learn to characterize these equilibria using mathematical techniques, gaining insight into how player beliefs and payoffs influence strategic decisions. The session includes case studies from diverse fields, illustrating the multifaceted nature of mixed strategies and their relevance in economic modeling, negotiation, and competitive environments. Through analytical exercises, students refine their ability to apply theoretical knowledge in practical contexts.
This module provides a comprehensive introduction to the concept of dominated actions in game theory. Dominated actions are strategies that are inferior to other available strategies, leading players to eliminate them from consideration. Understanding this concept is crucial for simplifying strategic decision-making.
Key topics include:
Through examples and exercises, students will learn how to identify dominated strategies in various games, enhancing their analytical skills in strategic interactions.
This module delves into the concepts of rationality and beliefs within game theory contexts. Students will explore how rational beliefs influence player strategies and outcomes in games. A strong foundation in these concepts will help learners understand the decision-making processes of interacting agents.
Key areas covered include:
Through theoretical exploration and practical exercises, students will develop insights into the importance of rationality and beliefs in determining game outcomes.
This module introduces extensive games, a fundamental aspect of game theory that involves sequential decision-making. Students will learn about the key characteristics of extensive games and how they differ from strategic games. A focus will be placed on the representation of these games using game trees.
Key topics include:
Through examples and practical exercises, students will enhance their understanding of how extensive games function and the strategic considerations involved.
In this module, students will explore strategies and equilibrium within extensive games. The concepts of strategies, outcomes, and equilibria are vital for understanding how players interact in dynamic scenarios. The module emphasizes the development and analysis of strategies in response to opponentsâ actions.
Topics covered include:
Students will analyze various examples to grasp how equilibrium is achieved and the implications for strategic decision-making.
This module focuses on Nash equilibrium and the challenges associated with it in extensive games. Understanding Nash equilibrium is crucial for identifying stable outcomes where no player has an incentive to deviate from their strategy. The module will cover various scenarios that showcase the application of this concept.
Key discussions will include:
Students will engage in analytical exercises to better understand the complexities of achieving and applying Nash equilibrium in diverse contexts.
This module introduces the concept of subgame perfect Nash equilibrium, an essential refinement of Nash equilibrium applicable to extensive games. It emphasizes the importance of credible strategies at every possible decision point within a game.
Key elements include:
Through interactive examples and exercises, students will learn how to identify and analyze subgame perfect equilibria, enhancing their strategic thinking skills.
This module covers backward induction, a powerful technique used to solve extensive games by analyzing decisions from the end of the game backward to the beginning. This method helps in identifying optimal strategies and predicting player behavior.
Key topics discussed include:
Students will engage in practical exercises to practice backward induction, enhancing their problem-solving skills in complex game scenarios.
This module provides exercises focused on backward induction, offering students the opportunity to apply the concepts learned in previous discussions. Students will solve various problems, reinforcing their understanding of how backward induction works in different scenarios.
Topics covered include:
Through collaborative work and guidance, students will refine their skills in utilizing backward induction effectively in extensive games.
This module explores the Ultimatum Game, a significant example in game theory that illustrates concepts of fairness, negotiation, and decision-making. Students will analyze how players make offers and respond to them, focusing on the underlying psychological and economic principles.
Key discussions will include:
Students will engage in simulations and discussions to better understand the dynamics at play in the Ultimatum Game and its relevance in real-world contexts.
This module examines the Stackelberg model of duopoly markets, a foundational concept in industrial organization that demonstrates how firms can achieve competitive advantage through leadership and follower dynamics. Students will learn about the strategic interactions between leading and lagging firms in a market.
Key topics include:
Through case studies and practical applications, students will understand how the Stackelberg model informs real-world business strategies in competitive environments.