Value Solutions in Cooperative Games

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Right now you have made the choice to read this text instead of scrolling further. Choices can be insignificant: to go by tram or by bus, to take an umbrella or not. Sometimes they can be very significant and even crucial: the choice of University, life partner.

1. Introduction

However, the importance of choice may not be realized initially. Sometimes a decision "not to take an umbrella" radically changes everything. The choice may affect a small group of people or entire countries. Constantly interacting with society and adopting certain strategies, many of us wonder: why can't everyone exist peacefully and cooperate with each other?

Value Solutions in Cooperative Games - Roger A. McCain - Google книги

Why do those who have agreed to cooperate, suddenly break the agreement? What if one is cooperative and the other is not? How profitable should the interaction be for the opponent to change his opinion? When are long-term stable prospects better than short-term benefits, and when not?

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The answers to these and other questions you will find out in our course. This course will be useful for those who want to make choices based on mathematical calculations rather than relying on fate.

Cooperative Game Theory

Schrijf een review. E-mail deze pagina. Auteur: Bezalel Peleg Peter Sudholter.

Top 5 Unique Cooperative Games of 2018

Uitgever: Springer. Co-auteur: Peter Sudhc6lter. Samenvatting Introduction to the Theory of Cooperative Games systematically studies the main solutions of cooperative games: the core, bargaining set, kernel, nucleolus, and the Shapley value of TU games, and the core, the Shapley value, and the ordinal bargaining set of NTU games.


  1. The metric theory of tensor products. Grothendiecks resume revisited.
  2. Cooperative game theory - Wikipedia.
  3. 1. Introduction;

To each solution a separate chapter is devoted, in which its properties are investigated in full detail. Moreover, important variants are defined or even intensively analyzed.

Separate chapters cover continuity, dynamics, and geometric properties of solutions of TU games. This study culminates in uniform and coherent axiomatizations of all the foregoing solutions excluding the bargaining set.


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  • Except for the Shapley value such axiomatizations have not appeared in any book. Moreover, Introduction to the Theory of Cooperative Games contains a detailed analysis of the main results on cooperative games without side payments. Such analysis is very limited or non-existent in the existing literature on game theory. Toon meer Toon minder.

    The Owen Value of Stochastic Cooperative Game

    Recensie s From the reviews: The text provides a thorough, detailed, rigorous, precise and complete account of the axiomatic treatment of solution concepts of cooperative games. There are no compromises on the preciseness of proofs and the citations are carefully stated.

    It certainly should be on the shelf of any researcher of game theory. The reader???