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Conjectural variations and evolutionary stability in finite populations
Authors:Wieland Müller  Hans-Theo Normann
Institution:(1) Department of Economics, Tilburg University, Postbus 90153, 5000 LE Tilburg, The Netherlands;(2) Department of Economics, Royal Holloway, Egham, Surrey, TW20 0EX, UK
Abstract:Recently it has been shown that consistent conjectures are evolutionarily stable. In this note we show that this finding depends on the use of the infinite population ESS (Maynard-Smith, Evolution and the theory of games, Cambridge University Press, Cambridge, UK, 1982). When applying the finite-population ESS (Schaffer, J Theor Biol 132:469–478, 1988) we show that the conjectures surviving in the long run are not consistent.
Keywords:Consistent conjectures  Duopoly  Evolutionary stability  Finite population  Indirect evolutionary approach
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