We show that for solvable games, the calculation of the strategies which survive iterative elimination of dominated strategies in normal games is equivalent to the calculation of the backward induction outcome of some extensive game. However, whereas the normal game form does not provide information on how to carry out the elimination, the corresponding extensive game does. As a by-product, we conclude that implementation using a subgame perfect equilibrium of an extensive game with perfect information is equivalent to implementation through a solution concept which we call guided iteratively elimination of dominated strategies which requires a uniform order of elimination. Journal of Economic Literature Classification Number: C72.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Backward Induction Without Common Knowledge.Cristina Bicchieri - 1988 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1988:329 - 343.
Common Reasoning About Admissibility.Cristina Bicchieri & Oliver Schulte - 1996 - Erkenntnis 45 (2-3):299 - 325.
Common Knowledge of Rationality in Extensive Games.Boudewijn de Bruin - 2008 - Notre Dame Journal of Formal Logic 49 (3):261-280.
Game-Theoretic Axioms for Local Rationality and Bounded Knowledge.Gian Aldo Antonelli & Cristina Bicchieri - 1995 - Journal of Logic, Language and Information 4 (2):145-167.
Players' Information in Extensive Games.Giacomo Bonanno - 1992 - Mathematical Social Sciences 24 (1):35-48.
Variations on a Game of Gale (I): Coding Strategies.Marion Scheepers - 1993 - Journal of Symbolic Logic 58 (3):1035-1043.
Explaining Games: The Epistemic Programme in Game Theory.Boudewijn de Bruin - 2010 - Springer.
Multistage Game Models and Delay Supergames.Reinhard Selten - 1998 - Theory and Decision 44 (1):1-36.
Added to index2010-12-22
Total downloads15 ( #314,103 of 2,168,160 )
Recent downloads (6 months)1 ( #346,757 of 2,168,160 )
How can I increase my downloads?