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Cooperative Games, Solutions and Applications

  • Theo Driessen

Part of the Theory and Decision Library book series (TDLC, volume 3)

Table of contents

About this book

Introduction

The study of the theory of games was started in Von Neumann (1928), but the development of the theory of games was accelerated after the publication of the classical book "Theory of games and economic behavior" by Von Neumann and Morgenstern (1944). As an initial step, the theory of games aims to put situations of conflict and cooperation into mathematical models. In the second and final step, the resulting models are analysed on the basis of equitable and mathematical reasonings. The conflict and/or cooperative situation in question is generally due to the interaction between two or more individuals (players). Their interaction may lead up to several potential payoffs over which each player has his own preferences. Any player attempts to achieve his largest possible payoff, but the other players may also exert their influence on the realization of some potential payoff. As already mentioned, the theory of games consists of two parts, a modelling part and a solution part. Concerning the modelling part, the mathematical models of conflict and cooperative situations are described. The description of the models includes the rules, the strategy space of any player, potential payoffs to the players, the preferences of each player over the set of all potential payoffs, etc. According to the rules, it is either permitted or forbidden that the players communicate with one another in order to make binding agreements regarding their mutual actions.

Keywords

conflict cooperation cooperative games development modeling science and technology strategy

Authors and affiliations

  • Theo Driessen
    • 1
  1. 1.Faculty of Applied MathematicsUniversity of TwenteThe Netherlands

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-015-7787-8
  • Copyright Information Springer Science+Business Media B.V. 1988
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-8451-4
  • Online ISBN 978-94-015-7787-8
  • Series Print ISSN 0924-6126
  • Series Online ISSN 2194-3044
  • Buy this book on publisher's site
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