INSTITUTE OF MATHEMATICAL ECONOMICS

B.Peleg, J.Rosenmüller, P.Sudhölter

Working-Paper No. 253

April 1996

Abstract

Within 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.

Keywords: Games, Extensive Form, Normal Form, Strategic Form

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