SOME REMARKS ON EVOLUTIONARY STABILITY IN MATRIX GAMES

K. S. Mallikarjuna Rao () and A. J. Shaiju ()
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K. S. Mallikarjuna Rao: Industrial Engineering and Operations Research, Indian Institute of Technology Bombay, Mumbai 400 076, India
A. J. Shaiju: Department of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, India

International Game Theory Review (IGTR), 2013, vol. 15, issue 04, 1-10

Abstract: In this article, we revisit evolutionary stability in matrix games. We provide a new direct proof to characterize a pure evolutionarily stable strategy (ESS), in games with exactly two pure strategies, as a strategy that is evolutionarily stable against multiple mutations. This direct proof yields generalizations tok × kgames which explains why such a characterization is not possible in general. Furthermore, we prove other necessary/sufficient conditions for evolutionary stability against multiple mutations.

Keywords: ESS; symmetric game; pure and mixed strategies; multiple mutations; Pareto efficient; globally strictly efficient; C73 (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1142/S0219198913400240

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