Game and Economic Theory

Game and Economic Theory

Author: Sergiu Hart

Publisher: University of Michigan Press

Published: 1995

Total Pages: 478

ISBN-13: 9780472106738

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Outstanding works showing the application of game theory to economic theory.


Game Theory

Game Theory

Author: Source Wikipedia

Publisher: University-Press.org

Published: 2013-09

Total Pages: 244

ISBN-13: 9781230633237

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 243. Chapters: Nash equilibrium, Prisoner's dilemma, Pareto efficiency, General equilibrium theory, Rock-paper-scissors, Evolutionarily stable strategy, Tragedy of the commons, The Evolution of Cooperation, Minimax, Bounded rationality, Tragedy of the anticommons, Free rider problem, Compromise, Collusion, Shapley value, Monty Hall problem, Zugzwang, Chicken, Cooperative game, Succinct game, Social dilemma, Mechanism design, Expected utility hypothesis, Ultimatum game, Extensive-form game, Fair division, Stackelberg competition, Social trap, Parrondo's paradox, Justice, Price of anarchy, Auction theory, Martingale, Signaling game, The Bottle Imp, Bayesian game, Common knowledge, Centipede game, Cournot competition, Best response, Inequity aversion, Braess's paradox, Solution concept, Bargaining problem, Coordination game, Dynamic inconsistency, Core, Game semantics, Prisoners and hats puzzle, Simulations and games in economics education, Glossary of game theory, Backward induction, Stable marriage problem, Normal-form game, Topological game, Metagaming, Continuous game, Smart market, Pursuit-evasion, Dictator game, Stable roommates problem, Strategic dominance, Banzhaf power index, Risk dominance, Superrationality, Traveler's dilemma, Vickrey-Clarke-Groves auction, Negotiation theory, Public goods game, Signalling, Chainstore paradox, Stochastic game, Fixed point, Expected value of sample information, Metagame analysis, Evolutionary game theory, Haven, Cheap talk, Grand coalition, Correlated equilibrium, Max Dominated Strategy, List of games in game theory, Social software, Keynesian beauty contest, Stag hunt, Generalized game theory, Sir Philip Sidney game, Competitive altruism, Rational ignorance, Repeated game, Contract theory, Trembling hand perfect equilibrium, Replicator equation, Bertrand competition, Battle of the...


Stochastic Games and Applications

Stochastic Games and Applications

Author: Abraham Neyman

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 466

ISBN-13: 9401001898

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This volume is based on lectures given at the NATO Advanced Study Institute on "Stochastic Games and Applications," which took place at Stony Brook, NY, USA, July 1999. It gives the editors great pleasure to present it on the occasion of L.S. Shapley's eightieth birthday, and on the fiftieth "birthday" of his seminal paper "Stochastic Games," with which this volume opens. We wish to thank NATO for the grant that made the Institute and this volume possible, and the Center for Game Theory in Economics of the State University of New York at Stony Brook for hosting this event. We also wish to thank the Hebrew University of Jerusalem, Israel, for providing continuing financial support, without which this project would never have been completed. In particular, we are grateful to our editorial assistant Mike Borns, whose work has been indispensable. We also would like to acknowledge the support of the Ecole Poly tech nique, Paris, and the Israel Science Foundation. March 2003 Abraham Neyman and Sylvain Sorin ix STOCHASTIC GAMES L.S. SHAPLEY University of California at Los Angeles Los Angeles, USA 1. Introduction In a stochastic game the play proceeds by steps from position to position, according to transition probabilities controlled jointly by the two players.


Equilibrium and Rationality

Equilibrium and Rationality

Author: Paul Weirich

Publisher: Cambridge University Press

Published: 1998-01-28

Total Pages: 253

ISBN-13: 0521593522

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This major contribution to game theory offers this conception of equilibrium in games: strategic equilibrium.


Quantal Response Equilibrium

Quantal Response Equilibrium

Author: Jacob K. Goeree

Publisher: Princeton University Press

Published: 2016-06-28

Total Pages: 322

ISBN-13: 069112423X

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Quantal Response Equilibrium presents a stochastic theory of games that unites probabilistic choice models developed in psychology and statistics with the Nash equilibrium approach of classical game theory. Nash equilibrium assumes precise and perfect decision making in games, but human behavior is inherently stochastic and people realize that the behavior of others is not perfectly predictable. In contrast, QRE models choice behavior as probabilistic and extends classical game theory into a more realistic and useful framework with broad applications for economics, political science, management, and other social sciences. Quantal Response Equilibrium spans the range from basic theoretical foundations to examples of how the principles yield useful predictions and insights in strategic settings, including voting, bargaining, auctions, public goods provision, and more. The approach provides a natural framework for estimating the effects of behavioral factors like altruism, reciprocity, risk aversion, judgment fallacies, and impatience. New theoretical results push the frontiers of models that include heterogeneity, learning, and well-specified behavioral modifications of rational choice and rational expectations. The empirical relevance of the theory is enhanced by discussion of data from controlled laboratory experiments, along with a detailed users' guide for estimation techniques. Quantal Response Equilibrium makes pioneering game-theoretic methods and interdisciplinary applications available to a wide audience.


Game Theory

Game Theory

Author: Fouad Sabry

Publisher: One Billion Knowledgeable

Published: 2024-08-07

Total Pages: 326

ISBN-13:

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Explore the complexities of political strategy with "Game Theory," a key volume in the "Political Science" series. This book delves into how mathematical models reveal the dynamics of conflict and cooperation among rational actors. Chapters Overview: 1. Game Theory - Foundations of strategic decision-making. 2. Nash Equilibrium - Stable strategies against opponents' actions. 3. Evolutionarily Stable Strategy - Strategies that resist invasion in populations. 4. Chicken (Game) - Balancing risk and reward in strategic interactions. 5. Coordination Game - Achieving mutual benefits through strategic alignment. 6. Centipede Game - Trust and betrayal in sequential decision-making. 7. Strategy (Game Theory) - Tactics for optimal outcomes. 8. Non-Cooperative Game Theory - Independent strategic decisions without binding agreements. 9. Backward Induction - Reasoning backward for optimal strategies. 10. Symmetric Game - Strategies in games with identical sets. 11. Folk Theorem - Strategy evolution in repeated games. 12. Correlated Equilibrium - Optimal outcomes with correlated strategies. 13. Outcome (Game Theory) - Potential results of strategic interactions. 14. Subgame Perfect Equilibrium - Optimal strategies at every decision stage. 15. Quantal Response Equilibrium - Probabilistic approach to equilibrium. 16. Epsilon-Equilibrium - Near-equilibrium in imperfect information contexts. 17. Cooperative Bargaining - Negotiation strategies for mutual benefits. 18. Jean-François Mertens - Contributions of the influential game theorist. 19. Mertens-Stable Equilibrium - Stable outcomes in strategic scenarios. 20. M Equilibrium - Multiple equilibria and strategic diversity. 21. Berge Equilibrium - Extensive-form game equilibria. "Game Theory" enhances understanding of strategic decision-making and offers practical insights for professionals and enthusiasts alike.


Stochastic and Differential Games

Stochastic and Differential Games

Author: Martino Bardi

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 388

ISBN-13: 1461215927

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The theory of two-person, zero-sum differential games started at the be ginning of the 1960s with the works of R. Isaacs in the United States and L.S. Pontryagin and his school in the former Soviet Union. Isaacs based his work on the Dynamic Programming method. He analyzed many special cases of the partial differential equation now called Hamilton Jacobi-Isaacs-briefiy HJI-trying to solve them explicitly and synthe sizing optimal feedbacks from the solution. He began a study of singular surfaces that was continued mainly by J. Breakwell and P. Bernhard and led to the explicit solution of some low-dimensional but highly nontriv ial games; a recent survey of this theory can be found in the book by J. Lewin entitled Differential Games (Springer, 1994). Since the early stages of the theory, several authors worked on making the notion of value of a differential game precise and providing a rigorous derivation of the HJI equation, which does not have a classical solution in most cases; we mention here the works of W. Fleming, A. Friedman (see his book, Differential Games, Wiley, 1971), P.P. Varaiya, E. Roxin, R.J. Elliott and N.J. Kalton, N.N. Krasovskii, and A.I. Subbotin (see their book Po sitional Differential Games, Nauka, 1974, and Springer, 1988), and L.D. Berkovitz. A major breakthrough was the introduction in the 1980s of two new notions of generalized solution for Hamilton-Jacobi equations, namely, viscosity solutions, by M.G. Crandall and P.-L.


Stochastic Games and Related Concepts

Stochastic Games and Related Concepts

Author: T. Parthasarathy

Publisher: Springer Nature

Published: 2020-12-08

Total Pages: 127

ISBN-13: 9811565775

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This book discusses stochastic game theory and related concepts. Topics focused upon in the book include matrix games, finite, infinite, and undiscounted stochastic games, n-player cooperative games, minimax theorem, and more. In addition to important definitions and theorems, the book provides readers with a range of problem-solving techniques and exercises. This book is of value to graduate students and readers of probability and statistics alike.


Game Theory

Game Theory

Author: Steven N. Durlauf

Publisher: Springer

Published: 2016-07-14

Total Pages: 391

ISBN-13: 0230280846

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Specially selected from The New Palgrave Dictionary of Economics 2nd edition, each article within this compendium covers the fundamental themes within the discipline and is written by a leading practitioner in the field. A handy reference tool.