Evol Ecol Res 5: 605-613 (2003)     Full PDF if your library subscribes.

Evolutionary dynamics and stability in discrete and continuous games

Troy Day and Peter D. Taylor*

Department of Mathematics and Statistics, Queen’s University, Kingston, Ontario K7L 3N6, Canada

Address correspondence to either author. e-mail: tday@mast.queensu.ca or taylorp@post.queensu.ca

ABSTRACT

We investigate the correspondence between discrete-trait games (for example, matrix games) and continuous-trait games, paying particular attention to the standard criteria for evolutionary stability. We show that the standard evolutionarily stable strategy conditions for discrete-trait games can be seen as a special case of the conditions employed in continuous-trait games.

Keywords: adaptive and replicator dynamics, discrete and continuous games, evolutionary stability.

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