Refinements of Rationalizability for Normal-form Games

Refinements of Rationalizability for Normal-form Games PDF Author: P. Jean-Jacques Herings
Publisher:
ISBN:
Category : Game theory
Languages : en
Pages : 74

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Refinements of Rationalizability for Normal-form Games

Refinements of Rationalizability for Normal-form Games PDF Author: P. Jean-Jacques Herings
Publisher:
ISBN:
Category : Game theory
Languages : en
Pages : 74

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Refinements of Rationalizability for Normal-form Games: the Main Ideas

Refinements of Rationalizability for Normal-form Games: the Main Ideas PDF Author: Vincent Vannetelbosch
Publisher:
ISBN:
Category :
Languages : en
Pages : 22

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Rationality in Extensive Form Games

Rationality in Extensive Form Games PDF Author: Andrés Perea
Publisher: Springer Science & Business Media
ISBN: 1475733917
Category : Business & Economics
Languages : en
Pages : 245

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Book Description
I would like to use this preface to thank some persons and institutions which have been important during the various stages of writing this book. First of all, I am grateful to Kluwer Academic Publishers for giving me the opportunity to write this book. I started writing the book in 1998 while I was working at the Departament d'Economia i d'Historia Economica at Universidad Autonoma de Barcelona, and continued the writing job from september 1998 to september 2000 at the Departamento de Economfa at Universidad Carlos III de Madrid. The book has been completed while I was visiting the Department of Quantitative Economics at the University of Maastricht from october 2000 to august 2001. I wish to thank these three departments for their hospitality. The book has improved substantially by comments and critique from the following persons who have read parts of the manuscript: Geir Asheim, Eric van Damme, Janos Flesch, Mari-Angeles de Frutos, Diego Moreno, Hans Peters, Antonio Romero and Dries Vermeulen. I should also mention my discussions with Peter Wakker about the decision-theoretic foundations of noncooperative game theory, which have had an important impact on various parts of the book. Finally, I wish to express my warmest gratitude to my parents, my brother and my sister, and, last but not least, to Cati, to whom I dedicate this book.

Essays in Game Theory and Application

Essays in Game Theory and Application PDF Author: Makoto Shimoji
Publisher:
ISBN:
Category : Demotions
Languages : en
Pages : 184

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Decision Processes in Economics

Decision Processes in Economics PDF Author: Gianni Ricci
Publisher: Springer Science & Business Media
ISBN: 3642456863
Category : Business & Economics
Languages : en
Pages : 217

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Book Description
This book contains a selection of the papers presented at the symposium on "Decision processes in Economics" which was held in Modena (Italy) on 9-10 October 1989. It coincided with the annual meeting of the italian group on Game Theory; the group is formed by economists, mathematicians, engineers and social scientists. One of the targets of the Meeting, and therefore of the book, is to create an opportunity for having together papers by scientists with an "optimal control" education and papers by theorists on refinement of equilibrium, on repeted games and other topics. These two modes of working on Games are quite different but we think that a unitary approch to Games can be given and this book is an attempt in this direction. Another important and updated issue which is emphisized in the book is the discussion of computation and efficiency of numerical methods in Games. Stochastic differential games are treated in the papers by Basar, Haurie -and Deissemberg. Basar considers a stochastic model of a conflict situation between the monetary policy maker (go vernment) and the responding agent (private sector). Because of asymmetry in the (stochastic) information available the Nash and the Stackelberg games become non standard stochastic diffe rential games. After the discussion of the conditions leading to a solution he provides a numerical example for the proposed game. Haurie considers a game where the observed state changes according to a stochastic jump process.

Epistemic Game Theory

Epistemic Game Theory PDF Author: Andrés Perea
Publisher: Cambridge University Press
ISBN: 1107008913
Category : Business & Economics
Languages : en
Pages : 581

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Book Description
The first textbook to explain the principles of epistemic game theory.

Handbook of Utility Theory

Handbook of Utility Theory PDF Author: Salvador Barbera
Publisher: Springer Science & Business Media
ISBN: 1402079648
Category : Business & Economics
Languages : en
Pages : 636

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Book Description
The standard rationality hypothesis is that behaviour can be represented as the maximization of a suitably restricted utility function. This hypothesis lies at the heart of a large body of recent work in economics, of course, but also in political science, ethics, and other major branches of the social sciences. Though this hypothesis of utility maximization deserves our continued respect, finding further refinements and developing new critiques remain areas of active research. In fact, many fundamental conceptual problems remain unsettled. Where others have been resolved, their resolutions may be too recent to have achieved widespread understanding among social scientists. Last but not least, a growing number of papers attempt to challenge the rationality hypothesis head on, at least in its more orthodox formulation. The main purpose of this Handbook is to make more widely available some recent developments in the area. Yet we are well aware that the final chapter of a handbook like this can never be written as long as the area of research remains active, as is certainly the case with utility theory. The editors originally selected a list of topics that seemed ripe enough at the time that the book was planned. Then they invited contributions from researchers whose work had come to their attention. So the list of topics and contributors is largely the editors' responsibility, although some potential con tributors did decline our invitation. Each chapter has also been refereed, and often significantly revised in the light of the referees' remarks.

Refinements of Rationallizability for Normal-form Games

Refinements of Rationallizability for Normal-form Games PDF Author: Vincent J. Vannetelbosch
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Prudent Rationalizability in Generalized Extensive-form Games with Unawareness

Prudent Rationalizability in Generalized Extensive-form Games with Unawareness PDF Author: Aviad Heifetz
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description
We define a cautious version of extensive-form rationalizability for generalized extensive- form games with unawareness that we call prudent rationalizability. It is an extensive-form analogue of iterated admissibility. In each round of the procedure, for each tree and each information set of a player a surviving strategy of hers is required to be rational vis-a-vis a belief system with a full-support belief on the opponents' previously surviving strategies that reach that information set. We demonstrate the applicability of prudent rationalizability. In games of disclosure of verifiable information, we show that prudent rationalizability yields unraveling under full awareness but unraveling might fail under unawareness. We compare prudent rationalizability to extensive-form rationalizability. We show that prudent rationalizability may not refine extensive-form rationalizability strategies but conjecture that the paths induced by prudent rationalizable strategy profiles (weakly) refine the set of paths induced by extensive-form rationalizable strategies.

Epistemic Conditions for Rationalizability

Epistemic Conditions for Rationalizability PDF Author: Eduardo Zambrano
Publisher:
ISBN:
Category :
Languages : en
Pages : 31

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Book Description
In this paper I show that, just as with Nash Equilibrium, there are sparse conditions, not involving common knowledge of rationality, that lead to (correlated) rationalizability. The basic observation is that, if the actual world belongs to a set of states where the set Z of action profiles is played, each player knows her own payoffs, everyone is rational and it is mutual knowledge that the action profiles played are in Z, then the actions played at the actual world are rationalizable actions. Alternatively, if at the actual world the support of the conjecture of player i is Di, there is mutual knowledge of: (i) the game being played, (ii) that the players are rational, and (iii) that for every i the support of the conjecture of player i is contained in Di, then every strategy in the support of the conjectures is rationalizable. The results do not require common knowledge of anything, are valid for games with any number of players, and extend to refinements of rationalizability such as independent rationalizability and rationalizable conjectural equilibrium.