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Order Independence for Iterated Weak Dominance

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Author Info
Leslie M. Marx
Jeroen M. Swinkels
Abstract

In general, the result of the elimination of weakly dominated strategies depends on order. We define nice weak dominance. Under nice weak dominance, order does not matter. We identify an important class of games under which nice weak dominance and weak dominance are equivalent, and so order under weak dominance does not matter. For all games, the result of iterative nice weak dominance is an upper bound on he result from any order of weak dominance. The result strengthen the intuitive relationship between backward induction and weak dominance, and shed light on some computational problems relating to weak dominance.

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File URL: http://www.kellogg.northwestern.edu/research/math/papers/1066.pdf
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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1066R.

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Date of creation: Sep 1996
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Handle: RePEc:nwu:cmsems:1066

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C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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  1. Satterthwaite, Mark A & Sonnenschein, Hugo, 1981. "Strategy-Proof Allocation Mechanisms at Differentiable Points," Review of Economic Studies, Blackwell Publishing, vol. 48(4), pages 587-97, October. [Downloadable!] (restricted)
  2. Ehud Kalai & Eitan Zemel, 1988. "On The Order of Eliminating Dominated Strategies," Discussion Papers 789, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  3. Itzhak Gilboa & Ehud Kalai & Eitan Zemel, 1989. "The Complexity of Eliminating Dominated Strategies," Discussion Papers 853, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  4. Samuelson, Larry, 1992. "Dominated strategies and common knowledge," Games and Economic Behavior, Elsevier, vol. 4(2), pages 284-313, April. [Downloadable!] (restricted)
  5. Mailath, George J & Samuelson, Larry & Swinkels, Jeroen M, 1993. "Extensive Form Reasoning in Normal Form Games," Econometrica, Econometric Society, vol. 61(2), pages 273-302, March. [Downloadable!] (restricted)
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This page was last updated on 2009-11-25.

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