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Evolutionary Stability in Games with Continuous Strategy Space

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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 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.

Abstract

1. INTRODUCTION

2. EVOLUTIONARY STABILITIES IN GAMES WITH CONTINUOUS STRATEGY SPACES

3. EXAMPLES

4. CONCLUSION

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