Evolution in games with a continuous action space

被引:0
作者
Matthijs van Veelen
Peter Spreij
机构
[1] Universiteit van Amsterdam,Department of Economics and Econometrics
[2] Universiteit van Amsterdam,Korteweg
来源
Economic Theory | 2009年 / 39卷
关键词
Evolutionary stability; Uniform invasion barrier; Local superiority; Asymptotic stability; Continuous action space; Topology; C70;
D O I
暂无
中图分类号
学科分类号
摘要
Allowing for games with a continuous action space, we investigate how evolutionary stability, the existence of a uniform invasion barrier, local superiority and asymptotic stability relate to each other. This is done without restricting the populations of which we want to investigate the stability to monomorphic population states or to strategies with finite support.
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页码:355 / 376
页数:21
相关论文
共 19 条
  • [1] Bomze I.M.(1990)Dynamical aspects of evolutionary stability Monatshefte Math 110 189-206
  • [2] Bomze I.M.(1991)Cross entropy minimization in uninvadable states of complex populations J Math Biol 30 73-87
  • [3] Cressman R.(2005)Stability of the replicator equation with continuous strategy space Math Soc Sci 50 127-147
  • [4] Cressman R.(2005)Measure dynamics on a one-dimensional continuous trait space: theoretical foundations for adaptive dynamics Theor Pop Biol 67 47-59
  • [5] Hofbauer J.(2006)Stability of the replicator equation for a single-species with a multi-dimensional trait space J Theor Biol 239 273-288
  • [6] Cressman R.(1962)Informationstheoretische Konvergenzbegriffe im Raum der Wahrscheinlichkeitsverteilungen Magyar Tudomanyos Akademia Matematikai Kutato Intezetenek Közlemenyei 7 137-158
  • [7] Hofbauer J.(1967)On topological properties of f-divergences Stud Sci Math Hungarica 2 329-339
  • [8] Riedel F.(1975)-divergence geometry of probability distributions and minimization problems Ann Probab 3 46-158
  • [9] Csiszár I.(1979)A note on evolutionary stable strategies and game dynamics J Theor Biol 81 609-612
  • [10] Csiszár I.(2002)On the dynamic foundation of evolutionary stability in continuous models J Econ Theory 107 223-252