Subgame Perfect Equilibria Under The Deferred Acceptance Algorithm

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Subgame Perfect Equilibria Under the Deferred Acceptance Algorithm

Author : Yasushi Kawase
Publisher :
ISBN 13 :
Total Pages : 57 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Subgame Perfect Equilibria Under the Deferred Acceptance Algorithm by : Yasushi Kawase

Download or read book Subgame Perfect Equilibria Under the Deferred Acceptance Algorithm written by Yasushi Kawase and published by . This book was released on 2019 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt: We analyze a subgame perfect equilibrium (SPE) of an extensive game with perfect information induced by the firm-oriented deferred acceptance (DA) algorithm in a one-to-one matching market between firms and workers. When no agents are strategic, the resulting outcome is the firm-optimal stable matching. We show that the worker-optimal stable matching is the unique SPE outcome when only workers are strategic. By contrast, multiple SPE outcomes may exist, possibly including unstable matchings when only firms are strategic. We show that every firm weakly prefers any SPE outcome to the worker-optimal stable matching and that the matching induced by Kesten's efficiency-adjusted DA algorithm can be achieved as a SPE. When both workers and firms are strategic, we also show that the worker-optimal stable matching is still the unique SPE outcome. Hence, the strategic behavior of workers yields the worker-optimal stable matching in a dynamic implementation of the firm-oriented DA algorithm. Our results reveal that the workers strategic behavior yields a reversal property in a dynamic implementation of the firm-oriented DA algorithm.

Combining Boston Mechanism with Deferred Acceptance Algorithm

Author : Shintaro Yamanaka
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (139 download)

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Book Synopsis Combining Boston Mechanism with Deferred Acceptance Algorithm by : Shintaro Yamanaka

Download or read book Combining Boston Mechanism with Deferred Acceptance Algorithm written by Shintaro Yamanaka and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study the matching mechanism in a two-stage game that mixes two well-known matching mechanisms, Boston Mechanism(BM) and the Deferred Acceptance algorithm(DA). First, we show that if all organizations have the same preferences for agents they accept, the subgame perfect equilibrium outcome of the two-stage game is agent-optimal stable matching. We then show that at least one of the subgame perfect equilibria of the two-stage game is an agent-optimal stable matching if the condition of Ergin acyclicity is satisfied. Under a stronger version of Ergin acyclicity, we also show that DA outcome becomes weakly preferable for all agents to the two-stage game outcome.

Strategies and Games, second edition

Author : Prajit K. Dutta
Publisher : MIT Press
ISBN 13 : 0262368501
Total Pages : 713 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Strategies and Games, second edition by : Prajit K. Dutta

Download or read book Strategies and Games, second edition written by Prajit K. Dutta and published by MIT Press. This book was released on 2022-08-09 with total page 713 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new edition of a widely used introduction to game theory and its applications, with a focus on economics, business, and politics. This widely used introduction to game theory is rigorous but accessible, unique in its balance between the theoretical and the practical, with examples and applications following almost every theory-driven chapter. In recent years, game theory has become an important methodological tool for all fields of social sciences, biology and computer science. This second edition of Strategies and Games not only takes into account new game theoretical concepts and applications such as bargaining and matching, it also provides an array of chapters on game theory applied to the political arena. New examples, case studies, and applications relevant to a wide range of behavioral disciplines are now included. The authors map out alternate pathways through the book for instructors in economics, business, and political science. The book contains four parts: strategic form games, extensive form games, asymmetric information games, and cooperative games and matching. Theoretical topics include dominance solutions, Nash equilibrium, Condorcet paradox, backward induction, subgame perfection, repeated and dynamic games, Bayes-Nash equilibrium, mechanism design, auction theory, signaling, the Shapley value, and stable matchings. Applications and case studies include OPEC, voting, poison pills, Treasury auctions, trade agreements, pork-barrel spending, climate change, bargaining and audience costs, markets for lemons, and school choice. Each chapter includes concept checks and tallies end-of-chapter problems. An appendix offers a thorough discussion of single-agent decision theory, which underpins game theory.

Finding Correlated Equilibria in General Sum Stochastic Games

Author : Chris Murray
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (428 download)

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Book Synopsis Finding Correlated Equilibria in General Sum Stochastic Games by : Chris Murray

Download or read book Finding Correlated Equilibria in General Sum Stochastic Games written by Chris Murray and published by . This book was released on 2007 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Often problems arise where multiple self-interested agents with individual goals can coordinate their actions to improve their outcomes. We model these problems as general sum stochastic games. We develop a tractable approximation algorithm for computing subgame-perfect correlated equilibria in these games. Our algorithm is an extension of standard dynamic programming methods like value iteration and Q-learning. And, it is conservative: while it is not guaranteed to find all value vectors achievable in correlated equilibrium, any policy which it does find is guaranteed to be an exact equilibrium of the stochastic game (to within limits of accuracy which depend on the number of backups and not on the approximation scheme). Our new algorithm is based on the planning algorithm of [1]. That algorithm computes subgame-perfect Nash equilibria, but assumes that it is given a set of 'punishment policies' as input. Our new algorithm requires only the description of the game, an important improvement since suitable punishment policies may be difficult to come by."

Game Theory and Behavior

Author : Jeffrey Carpenter
Publisher : MIT Press
ISBN 13 : 0262371251
Total Pages : 725 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Game Theory and Behavior by : Jeffrey Carpenter

Download or read book Game Theory and Behavior written by Jeffrey Carpenter and published by MIT Press. This book was released on 2022-12-06 with total page 725 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to game theory that offers not only theoretical tools but also the intuition and behavioral insights to apply these tools to real-world situations. This introductory text on game theory provides students with both the theoretical tools to analyze situations through the logic of game theory and the intuition and behavioral insights to apply these tools to real-world situations. It is unique among game theory texts in offering a clear, formal introduction to standard game theory while incorporating evidence from experimental data and introducing recent behavioral models. Students will not only learn about incentives, how to represent situations as games, and what agents “should” do in these situations, but they will also be presented with evidence that either confirms the theoretical assumptions or suggests a way in which the theory might be updated. Features: Each chapter begins with a motivating example that can be run as an experiment and ends with a discussion of the behavior in the example. Parts I–IV cover the fundamental “nuts and bolts” of any introductory game theory course, including the theory of games, simple games with simultaneous decision making by players, sequential move games, and incomplete information in simultaneous and sequential move games. Parts V–VII apply the tools developed in previous sections to bargaining, cooperative game theory, market design, social dilemmas, and social choice and voting. Part VIII offers a more in-depth discussion of behavioral game theory models including evolutionary and psychological game theory. Instructor resources include solutions to end-of-chapter exercises, worksheets for running each chapter's experimental games using pencil and paper, and the oTree codes for running the games online.

Random Matching and Trade Relationships in Decentralized Markets

Author : Dorothea K. Herreiner
Publisher :
ISBN 13 :
Total Pages : 198 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Random Matching and Trade Relationships in Decentralized Markets by : Dorothea K. Herreiner

Download or read book Random Matching and Trade Relationships in Decentralized Markets written by Dorothea K. Herreiner and published by . This book was released on 2001 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Journal of Economic Theory

Author : Karl Shell
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.0/5 (531 download)

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Book Synopsis Journal of Economic Theory by : Karl Shell

Download or read book Journal of Economic Theory written by Karl Shell and published by . This book was released on 2002 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Simple Proof of the Existence of Subgame Perfect Equilibria in Infinite-action Games of Perfect Information

Author : Philip J. Reny
Publisher : London : Centre for Decision Sciences and Econometrics, University of Western Ontario
ISBN 13 : 9780771409240
Total Pages : 16 pages
Book Rating : 4.4/5 (92 download)

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Book Synopsis A Simple Proof of the Existence of Subgame Perfect Equilibria in Infinite-action Games of Perfect Information by : Philip J. Reny

Download or read book A Simple Proof of the Existence of Subgame Perfect Equilibria in Infinite-action Games of Perfect Information written by Philip J. Reny and published by London : Centre for Decision Sciences and Econometrics, University of Western Ontario. This book was released on 1987 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algorithms and Complexity

Author : Paul G. Spirakis
Publisher : Springer
ISBN 13 : 3642382339
Total Pages : 394 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Algorithms and Complexity by : Paul G. Spirakis

Download or read book Algorithms and Complexity written by Paul G. Spirakis and published by Springer. This book was released on 2013-05-15 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed conference proceedings of the 8th International Conference on Algorithms and Complexity, CIAC 2013, held in Barcelona, Spain, during May 22-24, 2013. The 31 revised full papers presented were carefully reviewed and selected from 75 submissions. The papers present current research in all aspects of computational complexity and the use, design, analysis and experimentation of efficient algorithms and data structures.

Subgame Perfect Equilibria and Communication in Stage Games

Author : Alejandro Manelli
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)

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Book Synopsis Subgame Perfect Equilibria and Communication in Stage Games by : Alejandro Manelli

Download or read book Subgame Perfect Equilibria and Communication in Stage Games written by Alejandro Manelli and published by . This book was released on 2000 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Any stage-game with infinite choice sets can be approximated by finite games obtained as increasingly finer discretizations of the infinite game. The subgame perfect equilibrium outcomes of the finite games converge to a limit distribution. We prove that (i) if the limit distribution is feasible in the limit game, then it is also a subgame perfect equilibrium outcome of the limit game; and (ii) if the limit distribution prescribes sufficiently diffused behavior for first-stage players, then it is a subgame perfect equilibrium outcome of the limit game. These results are potentially useful in determining the existence of subgame perfect equilibria in applications. As an illustration of this potential, it is shown that the addition of cheap talk to the games considered restores" the existence of subgame perfect equilibria.

Asymptotic Behavior of Subgame Perfect Nash Equilibria in Stackelberg Games

Author : Francesco Caruso
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)

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Book Synopsis Asymptotic Behavior of Subgame Perfect Nash Equilibria in Stackelberg Games by : Francesco Caruso

Download or read book Asymptotic Behavior of Subgame Perfect Nash Equilibria in Stackelberg Games written by Francesco Caruso and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algorithmic Game Theory

Author : Noam Nisan
Publisher : Cambridge University Press
ISBN 13 : 1139466542
Total Pages : 928 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Algorithmic Game Theory by : Noam Nisan

Download or read book Algorithmic Game Theory written by Noam Nisan and published by Cambridge University Press. This book was released on 2007-09-24 with total page 928 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years game theory has had a substantial impact on computer science, especially on Internet- and e-commerce-related issues. Algorithmic Game Theory, first published in 2007, develops the central ideas and results of this exciting area in a clear and succinct manner. More than 40 of the top researchers in this field have written chapters that go from the foundations to the state of the art. Basic chapters on algorithmic methods for equilibria, mechanism design and combinatorial auctions are followed by chapters on important game theory applications such as incentives and pricing, cost sharing, information markets and cryptography and security. This definitive work will set the tone of research for the next few years and beyond. Students, researchers, and practitioners alike need to learn more about these fascinating theoretical developments and their widespread practical application.

Microeconomic Foundations II

Author : David M. Kreps
Publisher : Princeton University Press
ISBN 13 : 0691250138
Total Pages : 799 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Microeconomic Foundations II by : David M. Kreps

Download or read book Microeconomic Foundations II written by David M. Kreps and published by Princeton University Press. This book was released on 2023-01-03 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: A cutting-edge introduction to key topics in modern economic theory for first-year graduate students in economics and related fields Volume II of Microeconomic Foundations introduces models and methods at the center of modern microeconomic theory. In this textbook, David Kreps, a leading economic theorist, emphasizes foundational material, concentrating on seminal work that provides perspective on how and why the theory developed. Because noncooperative game theory is the chief tool of modeling and analyzing microeconomic phenomena, the book stresses the applications of game theory to economics. And throughout, it underscores why theory is most useful when it supports rather than supplants economic intuition. Introduces first-year graduate students to the models and methods at the core of microeconomic theory today Covers an extensive range of topics, including the agency theory, market signaling, relational contracting, bilateral bargaining, auctions, matching markets, and mechanism design Stresses the use—and misuse—of theory in studying economic phenomena and shows why theory should support, not replace, economic intuition Includes extensive appendices reviewing the essential concepts of noncooperative game theory, with guidance about how it should and shouldn’t be used Features free online supplements, including chapter outlines and overviews, solutions to all the problems in the book, and more

Decision and Game Theory for Security

Author : Arunesh Sinha
Publisher : Springer Nature
ISBN 13 : 3031748352
Total Pages : 334 pages
Book Rating : 4.0/5 (317 download)

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Book Synopsis Decision and Game Theory for Security by : Arunesh Sinha

Download or read book Decision and Game Theory for Security written by Arunesh Sinha and published by Springer Nature. This book was released on with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Microeconomic Foundations II

Author : David M. Kreps
Publisher : Princeton University Press
ISBN 13 : 0691250146
Total Pages : 800 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Microeconomic Foundations II by : David M. Kreps

Download or read book Microeconomic Foundations II written by David M. Kreps and published by Princeton University Press. This book was released on 2023-05-23 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt: A cutting-edge introduction to key topics in modern economic theory for first-year graduate students in economics and related fields Volume II of Microeconomic Foundations introduces models and methods at the center of modern microeconomic theory. In this textbook, David Kreps, a leading economic theorist, emphasizes foundational material, concentrating on seminal work that provides perspective on how and why the theory developed. Because noncooperative game theory is the chief tool of modeling and analyzing microeconomic phenomena, the book stresses the applications of game theory to economics. And throughout, it underscores why theory is most useful when it supports rather than supplants economic intuition. Introduces first-year graduate students to the models and methods at the core of microeconomic theory today Covers an extensive range of topics, including the agency theory, market signaling, relational contracting, bilateral bargaining, auctions, matching markets, and mechanism design Stresses the use—and misuse—of theory in studying economic phenomena and shows why theory should support, not replace, economic intuition Includes extensive appendices reviewing the essential concepts of noncooperative game theory, with guidance about how it should and shouldn’t be used Features free online supplements, including chapter outlines and overviews, solutions to all the problems in the book, and more

An Introduction to Game Theory

Author : Martin J. Osborne
Publisher : Oxford University Press, USA
ISBN 13 : 9780195322484
Total Pages : 533 pages
Book Rating : 4.3/5 (224 download)

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Book Synopsis An Introduction to Game Theory by : Martin J. Osborne

Download or read book An Introduction to Game Theory written by Martin J. Osborne and published by Oxford University Press, USA. This book was released on 2009-01 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text emphasizes the ideas behind modern game theory rather than their mathematical expression, but defines all concepts precisely. It covers strategic, extensive and coalitional games and includes the topics of repeated games, bargaining theory and evolutionary equilibrium.

Twenty Lectures on Algorithmic Game Theory

Author : Tim Roughgarden
Publisher : Cambridge University Press
ISBN 13 : 1316781178
Total Pages : 356 pages
Book Rating : 4.3/5 (167 download)

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Book Synopsis Twenty Lectures on Algorithmic Game Theory by : Tim Roughgarden

Download or read book Twenty Lectures on Algorithmic Game Theory written by Tim Roughgarden and published by Cambridge University Press. This book was released on 2016-08-30 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer science and economics have engaged in a lively interaction over the past fifteen years, resulting in the new field of algorithmic game theory. Many problems that are central to modern computer science, ranging from resource allocation in large networks to online advertising, involve interactions between multiple self-interested parties. Economics and game theory offer a host of useful models and definitions to reason about such problems. The flow of ideas also travels in the other direction, and concepts from computer science are increasingly important in economics. This book grew out of the author's Stanford University course on algorithmic game theory, and aims to give students and other newcomers a quick and accessible introduction to many of the most important concepts in the field. The book also includes case studies on online advertising, wireless spectrum auctions, kidney exchange, and network management.