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Chess-like Games Are Dominance Solvable in at Most Two Steps

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  • Ewerhart, Christian

Abstract

We show that strictly competitive, finite games of perfect information that may end in one of three possible ways can be solved by applying only two rounds of elimination of dominated strategies.

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File URL: http://www.sciencedirect.com/science/article/B6WFW-45F4KVF-F/2/f2ce85df7e2cd6d74b52aab41c9f9243
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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 33 (2000)
Issue (Month): 1 (October)
Pages: 41-47

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Handle: RePEc:eee:gamebe:v:33:y:2000:i:1:p:41-47

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Web page: http://www.elsevier.com/locate/inca/622836

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References

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  1. Gretlein, Rodney, J, 1982. "Dominance Solvable Voting Schemes: A Comment," Econometrica, Econometric Society, vol. 50(2), pages 527-28, March.
  2. Samuelson, Larry, 1992. "Dominated strategies and common knowledge," Games and Economic Behavior, Elsevier, vol. 4(2), pages 284-313, April.
  3. Christian Ewerhart, 1998. "Rationality and the definition of consistent pairs," International Journal of Game Theory, Springer, vol. 27(1), pages 49-59.
  4. Aumann, Robert J., 1995. "Backward induction and common knowledge of rationality," Games and Economic Behavior, Elsevier, vol. 8(1), pages 6-19.
  5. Balkenborg, Dieter & Eyal Winter, 1995. "A Necessary and Sufficient Epistemic Condition for Playing Backward Induction," Discussion Paper Serie B 331, University of Bonn, Germany.
  6. Borgers, Tilman, 1993. "Pure Strategy Dominance," Econometrica, Econometric Society, vol. 61(2), pages 423-30, March.
  7. Moulin, Herve, 1979. "Dominance Solvable Voting Schemes," Econometrica, Econometric Society, vol. 47(6), pages 1137-51, November.
  8. Gul, Faruk, 1996. "Rationality and Coherent Theories of Strategic Behavior," Journal of Economic Theory, Elsevier, vol. 70(1), pages 1-31, July.
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Citations

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Cited by:
  1. Eli Ben-Sasson & Adam Tauman Kalai & Ehud Kalai, 2006. "An Approach to Bounded Rationality," Discussion Papers 1439, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Ewerhart, Christian, 2002. "Backward Induction and the Game-Theoretic Analysis of Chess," Games and Economic Behavior, Elsevier, vol. 39(2), pages 206-214, May.
  3. Osterdal, Lars Peter, 2005. "Iterated weak dominance and subgame dominance," Journal of Mathematical Economics, Elsevier, vol. 41(6), pages 637-645, September.
  4. Subhasish Dugar & Haimanti Bhattacharya, 2008. "The Power of Reasoning: Experimental Evidence," Working Paper Series, Department of Economics, University of Utah 2008_20, University of Utah, Department of Economics.
  5. Vincent P. Crawford, 2013. "Boundedly Rational versus Optimization-Based Models of Strategic Thinking and Learning in Games," Journal of Economic Literature, American Economic Association, vol. 51(2), pages 512-27, June.
  6. Ewerhart, Christian, 2002. "Iterated Weak Dominance in Strictly Competitive Games of Perfect Information," Journal of Economic Theory, Elsevier, vol. 107(2), pages 474-482, December.

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