On superiority and weak stability of population states in evolutionary games

被引：0
作者：
Dharini Hingu
K. S. Mallikarjuna Rao
A. J. Shaiju
机构：
[1] Indian Institute of Technology,Department of Mathematics
[2] Madras,School of Industrial Engineering and Operations Research
[3] Indian Institute of Technology,undefined
[4] Bombay,undefined
来源：
Annals of Operations Research | 2020年 / 287卷
关键词：
Evolutionary game theory; Evolutionarily stable strategy; Replicator dynamics; Games with continuous strategy space;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We revisit some concepts of superiority and weak stability of population states in evolutionary games with continuous strategy space. We prove a general stability result for replicator trajectories by introducing the concept of superiority with respect to a given closed set. Some important results in the literature regarding weak stability turn out to be special cases of our main result.
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页码：751 / 760
页数：9
相关论文
共 28 条
  • [1] Alós-Ferrer C(2006)The discretization of continuum strategy spaces International Game Theory Review 8 499-514
  • [2] Apaloo J(1997)Revisiting strategic models of evolution: The concept of neighbourhood invader strategies Theoretical Population Biology 52 71-77
  • [3] Bomze IM(1990)Dynamical aspects of evolutionary stability Monatshefte für Mathematik 110 189-206
  • [4] Cressman R(2005)Stability of the replicator equation with continuous strategy space Mathematical Social Sciences 50 127-147
  • [5] Cressman R(2005)Measure dynamics on a one-dimensional continuous trait space: Theoretical foundations for adaptive dynamics Theroretical Population Biology 67 47-59
  • [6] Hofbauer J(2006)Stability of the replicator equation for a single species with a multi-dimensional continuous trait space Journal of Theoretical Biology 239 273-288
  • [7] Cressman R(1981)Kin selection and strong evolutionary stability of mutual help Theoretical Population Biology 19 420-433
  • [8] Hofbauer J(2003)Evolutionary and dynamic stability in continuous population games Journal of Mathematical Biology 46 445-459
  • [9] Riedel F(2016)Evolutionary stability of polymorphic population states in continuous games Dynamic Games and Applications 8 141-156
  • [10] Eshel I(2016)Evolutionary stability of dimorphic population states Annals of the International Society of Dynamic Games 14 249-266
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