Josef Hofbauer and Karl Sigmund:

Adaptive Dynamics and Evolutionary Stability

Applied Mathematics Letters 3 (1990), 75-79.

Abstract. A dynamics for frequency dependent selection is proposed and applied to several biological examples. The relation with game dynamics and evolutionary stability is analyzed.

Download: dvi-file (of the preprint, without figures), scanned reprint

See also chapter 9 of our book Evolutionary Games and Population Dynamics (Cambridge University Press 1998), pp.101 ff.

For further developments see Eva Kisdi's adaptive dynamics webpages.