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Journal of Economic Theory and Econometrics
JETEM/계량경제학보/計量經濟學報/JKES
Journal of the Korean Econometric Society

Evolutionary Stability in Games with Continuous Strategy Space: Recent Developments

Vol.23, No.1, March , 63–78



  •   (Korea University)

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Abstract  

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.


Keywords
   Nash equilibrium, Local superiority, Local m-stability, Uninvadability, Continuous Stability, Evolutionarily Stable Non-invader Strategy

JEL classification codes
   C67, C72, C73
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