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Order Independence for Iterated Weak Dominance

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Author Info
Leslie McFarland-Marx
Jeroen M. Swinkels

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Abstract

In general, the result of the elimination of weakly dominated strategies depends on order. We find a condition, satisfied by the normal form of any generic extensive form, and by some important games which do not admit generic extensive forms, under which any two games resulting from the elimination of weakly dominated strategies (subject to no more eliminations being possible) are equivalent. We also extend our condition and result to the case of elimination by mixed strategies. The result strengthens the intuitive connection between backward induction and weak dominance. And, under our condition, some computational problems relating to weak dominance, which are gnerally complex, become simple.

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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 1040.

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Date of creation: Apr 1993
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Handle: RePEc:nwu:cmsems:1040

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Postal: Center for Mathematical Studies in Economics and Management Science, Northwestern University, 580 Jacobs Center, 2001 Sheridan Road, Evanston, IL 60208-2014
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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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!]
  2. 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!]
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Yi-Chun Chen & Ngo Van Long & Xiao Luo, 2007. "Iterated Strict Dominance in General Games," CIRANO Working Papers 2007s-03, CIRANO. [Downloadable!]
    Other versions:
  2. Antonio Cabrales & Giovanni Ponti, 2000. "Implementation, Elimination of Weakly Dominated Strategies and Evolutionary Dynamics," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(2), pages 247-282, April. [Downloadable!] (restricted)
    Other versions:
  3. Amanda Friedenberg, 2006. "Can Hidden Variables Explain Correlation? (joint with Adam Brandenburger)," Theory workshop papers 815595000000000005, UCLA Department of Economics. [Downloadable!]
  4. Hummel, Patrick, 2005. "Iterative elimination of weakly dominated strategies in binary voting agendas with sequential voting," Working Papers 1236, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  5. Dufwenberg, Martin & Stegeman, Mark, 1999. "When Order matters for Iterated Strict Dominance," Research Papers in Economics 1999:2, Stockholm University, Department of Economics. [Downloadable!]
  6. Mario Gilli, 2002. "Iterated Admissibility as Solution Concept in Game Theory," Working Papers 47, University of Milano-Bicocca, Department of Economics, revised Mar 2002. [Downloadable!]
  7. Akiko Maruyama & Takashi Shimizu & Kazuhiro Yamamoto, 2009. "Exit and Voice in a Marriage Market," Discussion Papers in Economics and Business 09-04-Rev, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP), revised Mar 2009. [Downloadable!]
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  8. Patrick Hummel, 2008. "Iterative elimination of weakly dominated strategies in binary voting agendas with sequential voting," Social Choice and Welfare, Springer, vol. 31(2), pages 257-269, August. [Downloadable!] (restricted)
  9. Licun Xue, . "A Notion of Consistent Rationalizability - Between Weak and Pearce's Extensive Form Rationalizability," Economics Working Papers 2000-4, School of Economics and Management, University of Aarhus. [Downloadable!]
  10. Lars Peter Østerdal, 2003. "Iterated weak dominance and subgame dominance," Discussion Papers 03-07, University of Copenhagen. Department of Economics. [Downloadable!]
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