Evolutionary Games

Evolutionary Game Theory applies Game Theory to biological populations, modeling how strategies evolve over time.

Concepts

Key idea: Evolutionary Stable Strategy (ESS), where a strategy resists invasion by alternatives.

Examples

Hawk-Dove game: Hawks fight (payoff -10 or +50), Doves share (+10). ESS depends on costs vs. benefits.

Dynamics

Replicator dynamics: \(\dot{x_i} = x_i [u_i(x) - \bar{u}(x)]\), where \(x_i\) is strategy frequency.