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Cooperative Games on Combinatorial Structures

by Jesus Mario Bilbao

  • ISBN: 9780792377825
  • ISBN10: 0792377826

Cooperative Games on Combinatorial Structures

by Jesus Mario Bilbao

  • List Price: $319.00
  • Binding: Hardcover
  • Publisher: Kluwer Academic Pub
  • Publish date: 02/01/2000
  • ISBN: 9780792377825
  • ISBN10: 0792377826
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Description: The aim of Cooperative Games on Combinatorial Structures is to analyze conflict situations in which two or more players can make coalitions and obtain prizes and penalties. This approach to situations of competition and cooperation was given in the seminal treatise by John von Neumann and Oskar Morgenstern, Theory of Games and Economic Behavior. Cooperative game theory has succeeded in providing many applications of game theory.

In this volume, games defined on combinatorial structures will be analyzed, i.e. a set system over a set of players. In many situations the author will work in a closure space. Examples of closure operators are the spanning operator of linear algebra and all convex hull operators.

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