Co-evolutionary dynamics and Bayesian interaction games

Co-evolutionary dynamics and Bayesian interaction games

Abstract: In a Bayesian interaction game players have diverse preferences and are randomly matched according to an inhomogeneous random graph. A co-evolutionary process of networks and play gives a dynamic formalism for the joint evolution of the random graph and the actions the players use per match. Assuming that the players select actions and links according to log-linear functions taking as...

Population Games And Evolutionary Dynamics

Evolutionary Games and Local Dynamics

Evolutionary games have been introduced by Maynard Smith and Price [1973] in the early 70’s with the aim to study the stability of populations in time. In the general model, a population consists of finitely many different types that interact randomly with each other, where each interaction leads to fitness payoffs for each of the types involved. Consequently, the population distribution over t...

Exploration dynamics in evolutionary games.

Evolutionary game theory describes systems where individual success is based on the interaction with others. We consider a system in which players unconditionally imitate more successful strategies but sometimes also explore the available strategies at random. Most research has focused on how strategies spread via genetic reproduction or cultural imitation, but random exploration of the availab...

Evolutionary dynamics of biological games.

Darwinian dynamics based on mutation and selection form the core of mathematical models for adaptation and coevolution of biological populations. The evolutionary outcome is often not a fitness-maximizing equilibrium but can include oscillations and chaos. For studying frequency-dependent selection, game-theoretic arguments are more appropriate than optimization algorithms. Replicator and adapt...