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On Some Geometry and Equivalence Classes of Normal Form Games

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  • Fabrizio Germano

Abstract

Equivalence classes of normal form games are defined using the discontinuities of correspondences of standard equilibrium concepts like correlated, Nash, and robust equilibrium, or risk dominance and rationalizability. Resulting equivalence classes are fully characterized and compared across different equilibrium concepts for 2 x 2 games; larger games are also considered. It is argued that the procedure leads to broad and game-theoretically meaningful distinctions of games as well as to alternative ways of representing, comparing and testing equilibrium concepts.

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Bibliographic Info

Paper provided by Barcelona Graduate School of Economics in its series Working Papers with number 42.

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Date of creation: Sep 2003
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Handle: RePEc:bge:wpaper:42

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Keywords: Non-cooperative games; classification and equivalence classes; experimental games; geometry of games;

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