Non-reactive strategies in decision-form games
In this paper we propose a concept of rationalizable solution for two-player decision-form games: the solution by iterated elimination of non-reactive strategies. Several original theorems are proved about this kind of solution. We study the relations between solutions by iterated elimination of non reactive strategies and game equilibria. We present an existence theorem for bistrategies surviving the iterated elimination and an existence theorem for solution by iterated elimination in contracting games. We, also, show that an equilibrium of a game survives iterated elimination of non-reactive strategies. At the end we prove a characterization of solvability by iterated elimination of non-reactive strategies.
|Date of creation:||2009|
|Date of revision:|
|Publication status:||Published in AAPP | Physical, Mathematical, and Natural Sciences 1.LXXXVI(2009): pp. 1-12|
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Web page: http://mpra.ub.uni-muenchen.de
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- Martin J. Osborne & Ariel Rubinstein, 1994.
"A Course in Game Theory,"
MIT Press Books,
The MIT Press,
edition 1, volume 1, number 0262650401, June.
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