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Author : Ignacio Esponda
Release : 2006
Genre :
Kind : eBook
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Book Synopsis Robust Equilibrium Analysis in Games with Uncertainty by : Ignacio Esponda
Download or read book Robust Equilibrium Analysis in Games with Uncertainty written by Ignacio Esponda. This book was released on 2006. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ola Andersson
Release : 2012
Genre :
Kind : eBook
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Book Synopsis Robustness to Strategic Uncertainty by : Ola Andersson
Download or read book Robustness to Strategic Uncertainty written by Ola Andersson. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: In games with continuum strategy sets, we model a player's uncertainty about another player's strategy, as an atomless probability distribution over the other player's strategy set. We call a strategy profile (strictly) robust to strategic uncertainty if it is the limit, as uncertainty vanishes, of some sequence (all sequences) of strategy profiles in which every player's strategy is optimal under his or her uncertainty about the others. General properties of this robustness criterion are derived and it is shown that it is a refinement of Nash equilibrium when payoff functions are continuous. We apply the criterion to a class of Bertrand competition games. These are discontinuous games that admit a continuum of Nash equilibria. Our robustness criterion selects a unique Nash equilibrium, and this selection agrees with recent experimental findings. -- Nash equilibrium ; refinement ; strategic uncertainty ; Bertrand competition ; log-concavity
Author : Xiaotie Deng
Release : 2018-08-26
Genre : Computers
Kind : eBook
Book Rating : 606/5 ( reviews)
Book Synopsis Algorithmic Game Theory by : Xiaotie Deng
Download or read book Algorithmic Game Theory written by Xiaotie Deng. This book was released on 2018-08-26. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 11th International Symposium on Algorithmic Game Theory, SAGT 2018, held in Beijing, China, in September 2018. The 19 full papers presented together with 6 short papers and 5 plenary talks were carefully reviewed and selected from 54 submissions. The papers cover various important aspects of algorithmic game theory including market equilibrium, auctions and applications, two sided markets, cake-cutting, cooperative games, voting games, multi-agent scheduling, price of stability, various mechanism design problems: online-dynamics and multi-stages as well as revenue maximization and resource allocation and applications.
Author : Dirk Bergemann
Release : 2011
Genre :
Kind : eBook
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Book Synopsis Robust Predictions in Games with Incomplete Information by : Dirk Bergemann
Download or read book Robust Predictions in Games with Incomplete Information written by Dirk Bergemann. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mindia E. Salukvadze
Release : 2020-02-18
Genre : Mathematics
Kind : eBook
Book Rating : 468/5 ( reviews)
Book Synopsis The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics by : Mindia E. Salukvadze
Download or read book The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics written by Mindia E. Salukvadze. This book was released on 2020-02-18. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to elaborate on the main principles of the theory of the Berge equilibrium by answering the following two questions: What are the basic properties of the Berge equilibrium? Does the Berge equilibrium exist, and how can it be calculated? The Golden Rule of ethics, which appears in Christianity, Judaism, Islam, Buddhism, Confucianism and other world religions, states the following: “Behave towards others as you would like them to behave towards you." In any game, each party of conflict seeks to maximize some payoff. Therefore, for each player, the Golden Rule is implemented through the maximization of his/her payoff by all other players, which matches well with the concept of the Berge equilibrium. The approach presented here will be of particular interest to researchers (including undergraduates and graduates) and economists focused on decision-making under complex conflict conditions. The peaceful resolution of conflicts is the cornerstone of the approach: as a matter of fact, the Golden Rule precludes military clashes and violence. In turn, the new approach requires new methods; in particular, the existence problems are reduced to saddle point design for the Germeier convolution of payoff functions, with further transition to mixed strategies in accordance with the standard procedure employed by E. Borel, J. von Neumann, J. Nash, and their followers. Moreover, this new approach has proven to be efficient and fruitful with regard to a range of other important problems in mathematical game theory, which are considered in the Appendix.
