Logic in Classical and Evolutionary Games
Stefanie Kooistra

Abstract:
Investigating the logical structure of classical game theory is an
increasingly popular topic among logicians. However, evolutionary game
theory, which is an extension of classical game theory designed to
describe natural selection, has seen little application of
logic. Investigating the consequences two crucial differences between
the two will reveal how to approach a logic for evolutionary game
theory. The two differences are: 1. the interpretation of the
classical terminology and 2.  the nature of the role of
rationality. By making a new interpretation of the logical terms and
taking a new perspective on rationality, it is possible to achieve an
initial logical formulation for evolutionary game theory.