The Canonical Extensive Form of a Game Form - Part I - Symmetries
AbstractWithin this series of papers we plan to exhibit to any noncooperative game in strategic or normal form a 'canonical' representation in extensive form that preserves all symmetries of the game. The operation defined this way will respect the restriction of games to subgames and yield a minimal total rank of the tree involved. Moreover, by the above requirements the 'canonical extensive game form' will be uniquely defined. Part I is dealing with isomorphisms of game forms and games. An automorphism of the game is called motion. A symmetry of a game is a permutation which can be augmented to a motion. Some results on the existence of symmetry groups are presented. The context to the notion of symmetry for coalitional games is exhibited.
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Bibliographic InfoPaper provided by Bielefeld University, Center for Mathematical Economics in its series Working Papers with number 253.
Length: 21 pages
Date of creation: Apr 1996
Date of revision:
Games; Extensive Form; Normal Form; Strategic Form;
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