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    Evolutionary Stability in Games with Continuous Strategy Space: Recent Developments

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    https://www.riss.kr/link?id=A104211101

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    다국어 초록 (Multilingual Abstract) kakao i 다국어 번역

    The classical evolutionary game theory, pioneered by Maynard Smith and Price (1973), was initially developed in the context of uni-population games with discrete strategy space. Recently some progress has been made in extending the original idea of Maynard Smith and his collaborators into uni-population games with continuous strategy space (Apaloo, 1997; Christiansen, 1991; Cressman, 2006; Eshel, 1983). The current paper reviews them in a unifying framework, and provides some new theorems linking various concepts of evolutionary stability proposed by different authors.
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    The classical evolutionary game theory, pioneered by Maynard Smith and Price (1973), was initially developed in the context of uni-population games with discrete strategy space. Recently some progress has been made in extending the original idea of Ma...

    The classical evolutionary game theory, pioneered by Maynard Smith and Price (1973), was initially developed in the context of uni-population games with discrete strategy space. Recently some progress has been made in extending the original idea of Maynard Smith and his collaborators into uni-population games with continuous strategy space (Apaloo, 1997; Christiansen, 1991; Cressman, 2006; Eshel, 1983). The current paper reviews them in a unifying framework, and provides some new theorems linking various concepts of evolutionary stability proposed by different authors.

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    참고문헌 (Reference)

    1 Smith, J. M., "The logic of animal conflict" 246 : 15-18, 1973

    2 Sethi, R., "The evolution of social norms and reciprocity" 97 : 273-297, 2001

    3 Vega-Redondo, F., "The evolution of Walrasian behavior" 65 : 375-384, 1997

    4 Cressman, R., "Stability of the replicator equation for a single species with a multi-dimensional continuous trait space" 239 : 273-285, 2006

    5 Bomze, I., "Stability by mutation in evolutionary games" 11 : 146-172, 1995

    6 Apaloo, J., "Revisiting strategic models of evolution: The concept of neighborhood invader strategies" 52 : 71-77, 1997

    7 Oechssler, J., "On the dynamic foundations of evolutionary stability" 107 : 223-252, 2002

    8 Eshel, I., "On the changing concept of evolutionary population stability as a reflection of a changing point of view in the quantitative theory of evolution" 34 : 485-510, 1996

    9 Christiansen, F., "On conditions for evolutionary stability for a continuously varying character" 138 : 37-50, 1991

    10 Kandori, M., "Learning, mutation, and long-run equilibria in games" 61 : 29-56, 1993

    1 Smith, J. M., "The logic of animal conflict" 246 : 15-18, 1973

    2 Sethi, R., "The evolution of social norms and reciprocity" 97 : 273-297, 2001

    3 Vega-Redondo, F., "The evolution of Walrasian behavior" 65 : 375-384, 1997

    4 Cressman, R., "Stability of the replicator equation for a single species with a multi-dimensional continuous trait space" 239 : 273-285, 2006

    5 Bomze, I., "Stability by mutation in evolutionary games" 11 : 146-172, 1995

    6 Apaloo, J., "Revisiting strategic models of evolution: The concept of neighborhood invader strategies" 52 : 71-77, 1997

    7 Oechssler, J., "On the dynamic foundations of evolutionary stability" 107 : 223-252, 2002

    8 Eshel, I., "On the changing concept of evolutionary population stability as a reflection of a changing point of view in the quantitative theory of evolution" 34 : 485-510, 1996

    9 Christiansen, F., "On conditions for evolutionary stability for a continuously varying character" 138 : 37-50, 1991

    10 Kandori, M., "Learning, mutation, and long-run equilibria in games" 61 : 29-56, 1993

    11 Hammerstein, P., "Game theory and evolutionary biology, in Handbook of Game Theory, Vol. 2" North Holland 1994

    12 Bomze, I., "Game Theoretical Foundations of Evolutionary Stability" Springer 1989

    13 Taylor, P., "Evolutionary stability in one-parameter models under weak selection" 36 : 125-143, 1989

    14 Riley, J., "Evolutionary equilibrium strategies" 76 : 109-123, 1979

    15 Eshel, I., "Evolutionary and continuous stability" 103 : 99-111, 1983

    16 Weibull, J., "Evolutionary Game Theory" MIT Press 1995

    17 Schaffer, M., "Evolutionarily stable strategies for a finite population and a variable contest size" 132 : 469-478, 1988

    18 Taylor, P., "Evolutionarily stable strategies and game dynamics" 40 : 145-156, 1978

    19 Seymour, R., "Dynamics for infinite-dimensional games" Department of Mathematics, University College London 2000

    20 Bomze, I., "Cross-entropy minimization in uninvadable states of complex populations" 30 : 73-87, 1991

    21 Cressman, R., "Continuously stable strategies, neighborhood superiority and two-player games with continuous strategy space" Department of Mathematics, Wilfrid Laurier University 2006

    22 Eshel, I., "Continuous stability and evolutionary convergence" 185 : 333-343, 1997

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