Games with frequency-dependent stage payoffs (FD-games), are infinitely repeated non-cooperative games played at discrete moments in time called stages. The stage payoffs depend on the action pair actually chosen, and on the relative frequencies with which all actions were chosen before. We...

We present two new notions of evolutionary stability, the truly evolutionarily stable state (TESS) and the generalized evolutionarily stable equilibrium (GESE). The GESE generalizes the evolutionarily stable equilibrium (ESE) of Joosten [1996]. An ESE attracts all nearby trajectories...

In a Small Fish War two agents interacting on a body of water have essentially two options: they can …fish with restraint or without. Fishing with restraint is not harmful; …shing without yields a higher immediate catch, but may induce lower future catches. Inspired by recent work in biology,...