Chess-like Games Are Dominance Solvable in at Most Two Steps
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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References listed on IDEAS
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- Christian Ewerhart, 1998. "Rationality and the definition of consistent pairs," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(1), pages 49-59.
- Balkenborg, Dieter & Winter, Eyal, 1997.
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- Aumann, Robert J., 1995. "Backward induction and common knowledge of rationality," Games and Economic Behavior, Elsevier, vol. 8(1), pages 6-19.
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- Borgers, Tilman, 1993. "Pure Strategy Dominance," Econometrica, Econometric Society, vol. 61(2), pages 423-30, March.
- Gul, Faruk, 1996. "Rationality and Coherent Theories of Strategic Behavior," Journal of Economic Theory, Elsevier, vol. 70(1), pages 1-31, July.
- Samuelson, Larry, 1992. "Dominated strategies and common knowledge," Games and Economic Behavior, Elsevier, vol. 4(2), pages 284-313, April.
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