The Mechanism Design Approach to Optimality in Repeated Games with Private Information PDF Download
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Author: David Aaron Miller
Publisher:
ISBN:
Category :
Languages : en
Pages : 158
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Book Description
Author: David Aaron Miller
Publisher:
ISBN:
Category :
Languages : en
Pages : 158
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Book Description
Author: Dirk Bergemann
Publisher: World Scientific
ISBN: 9814452165
Category : Business & Economics
Languages : en
Pages : 471
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Book Description
Foreword by Eric Maskin (Nobel Laureate in Economics, 2007)This volume brings together the collected contributions on the theme of robust mechanism design and robust implementation that Dirk Bergemann and Stephen Morris have been working on for the past decade. The collection is preceded by a comprehensive introductory essay, specifically written for this volume with the aim of providing the readers with an overview of the research agenda pursued in the collected papers.The introduction selectively presents the main results of the papers, and attempts to illustrate many of them in terms of a common and canonical example, namely a single unit auction with interdependent values. It is our hope that the use of this example facilitates the presentation of the results and that it brings the main insights within the context of an important economic mechanism, namely the generalized second price auction.
Author: Robert J. Aumann
Publisher: MIT Press
ISBN: 9780262011471
Category : Business & Economics
Languages : en
Pages : 372
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Book Description
The basic model studied throughout the book is one in which players ignorant about the game being played must learn what they can from the actions of the others.
Author: Y Narahari
Publisher: World Scientific
ISBN: 9814525065
Category : Computers
Languages : en
Pages : 533
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Book Description
This book offers a self-sufficient treatment of a key tool, game theory and mechanism design, to model, analyze, and solve centralized as well as decentralized design problems involving multiple autonomous agents that interact strategically in a rational and intelligent way. The contents of the book provide a sound foundation of game theory and mechanism design theory which clearly represent the “science” behind traditional as well as emerging economic applications for the society.The importance of the discipline of game theory has been recognized through numerous Nobel prizes in economic sciences being awarded to game theorists, including the 2005, 2007, and 2012 prizes. The book distills the marvelous contributions of these and other celebrated game theorists and presents it in a way that can be easily understood even by senior undergraduate students.A unique feature of the book is its detailed coverage of mechanism design which is the art of designing a game among strategic agents so that a social goal is realized in an equilibrium of the induced game. Another feature is a large number of illustrative examples that are representative of both classical and modern applications of game theory and mechanism design. The book also includes informative biographical sketches of game theory legends, and is specially customized to a general engineering audience.After a thorough reading of this book, readers would be able to apply game theory and mechanism design in a principled and mature way to solve relevant problems in computer science (esp, artificial intelligence/machine learning), computer engineering, operations research, industrial engineering and microeconomics.
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 522
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Book Description
Author: Juuso Tuomas Toikka
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
This dissertation consists of three essays. In "A Folk Theorem with Markovian Private Information" (with Juan F. Escobar) we consider repeated Bayesian two-player games in which the players' types evolve according to an irreducible Markov chain, type transitions are independent across players, and players have private values. The main result shows that, with communication, any Pareto efficient payoff vector above a minmax value can be approximated arbitrarily closely in a perfect Bayesian equilibrium as the discount factor goes to one. In the second essay, "Dynamic Mechanism Design: Incentive Compatibility, Profit Maximization, and Information Disclosure" (with Alessandro Pavan and Ilya R. Segal), we examine the design of dynamic screening mechanisms for environments in which the agents' types follow a stochastic process, decisions may be made over time, and the decisions may affect the type process. We derive a formula for an agent's equilibrium payoff in an incentive-compatible mechanism, which generalizes Mirrlees's envelope formula of static mechanism design. When specialized to quasi-linear environments, the formula yields a dynamic revenue-equivalence result and an expression for dynamic virtual surplus, which is instrumental for the design of profit-maximizing mechanisms. We also provide sufficient conditions for incentive compatibility. We apply the results to derive optimal dynamic contracts for a number of novel settings. The final essay, "Ironing without Control, " extends a method for solving a class of optimization problems, encountered frequently in mechanism design, where a functional is maximized over the set of nondecreasing functions. For example, the approach can be used to solve principal-agent models with adverse selection.
Author: George J. Mailath
Publisher:
ISBN:
Category : Game theory
Languages : en
Pages : 40
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Book Description
Author: Claude d' Aspremont
Publisher: De Boeck Supérieur
ISBN: 9782804129941
Category : Social Science
Languages : en
Pages : 348
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Book Description
By presenting a collection of contributions by leading experts, this book illustrates the variety of issues that the discipline of "mechanism design", as a branch of game theory, is capable of dealing with : voting rules, trial procedures, public good production, cost-sharing, monopolistic regulation, bequest function, etc. However, the book illustrates also the fundamental unity of the basic questions : information gathering, communication, individual as well as coalitional strategic and dynamic behavior.
Author: Julio B. Clempner
Publisher: Springer Nature
ISBN: 3031435753
Category : Technology & Engineering
Languages : en
Pages : 340
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Book Description
This book considers a class of ergodic finite controllable Markov's chains. The main idea behind the method, described in this book, is to develop the original discrete optimization problems (or game models) in the space of randomized formulations, where the variables stand in for the distributions (mixed strategies or preferences) of the original discrete (pure) strategies in the use. The following suppositions are made: a finite state space, a limited action space, continuity of the probabilities and rewards associated with the actions, and a necessity for accessibility. These hypotheses lead to the existence of an optimal policy. The best course of action is always stationary. It is either simple (i.e., nonrandomized stationary) or composed of two nonrandomized policies, which is equivalent to randomly selecting one of two simple policies throughout each epoch by tossing a biased coin. As a bonus, the optimization procedure just has to repeatedly solve the time-average dynamic programming equation, making it theoretically feasible to choose the optimum course of action under the global restriction. In the ergodic cases the state distributions, generated by the corresponding transition equations, exponentially quickly converge to their stationary (final) values. This makes it possible to employ all widely used optimization methods (such as Gradient-like procedures, Extra-proximal method, Lagrange's multipliers, Tikhonov's regularization), including the related numerical techniques. In the book we tackle different problems and theoretical Markov models like controllable and ergodic Markov chains, multi-objective Pareto front solutions, partially observable Markov chains, continuous-time Markov chains, Nash equilibrium and Stackelberg equilibrium, Lyapunov-like function in Markov chains, Best-reply strategy, Bayesian incentive-compatible mechanisms, Bayesian Partially Observable Markov Games, bargaining solutions for Nash and Kalai-Smorodinsky formulations, multi-traffic signal-control synchronization problem, Rubinstein's non-cooperative bargaining solutions, the transfer pricing problem as bargaining.
Author: Tim Roughgarden
Publisher: Cambridge University Press
ISBN: 1316781178
Category : Computers
Languages : en
Pages : 356
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Book Description
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.
