Escort evolutionary game theory

A family of replicator-like dynamics, called the escort replicator dynamic, is constructed using information-geometric concepts and generalized information divergences from information geometry and statistical thermodynamics. A single-formula Lyapunov function is given that covers the entire class of dynamics, which includes the replicator dynamic and the projection dynamic, as well as several new dynamics. A further class is discussed that allows for more variation, such as variable intensities of selection.

► This paper defines a class of dynamics arising from different information measures.
► The class includes the replicator dynamic, the projection dynamic, and new dynamics.
► A single very general and easy to use formula for Lyapunov functions is given.
► A more general class allows models such as those with variable intensities of selection.