Cross entropy minimization in uninvadable states of complex populations

DOI10.1007/BF00168008zbMath0761.92022OpenAlexW1990227739MaRDI QIDQ1179450

Immanuel M. Bomze

Publication date: 26 June 1992

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00168008

zbMATH Keywords

stabilityreplicator dynamicsequilibrium statesrecombinationevolutionary game theoryKullback-Leibler distancefrequency-dependent selectioncross entropypopulation gamesaverage strategycross negentropyevolutionary mixed strategy gamesevolutionary stable statesorder stabilizing effectsphenotypic constraintsstrongly uninvadable state

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of game theory (91A80) Other game-theoretic models (91A40)

Related Items (35)

On the application of statistical physics to evolutionary biology ⋮ Cooperation and evolutionary dynamics in the public goods game with institutional incentives ⋮ Asymptotic stability of equilibria of selection-mutation equations ⋮ Evolutionary stability of polymorphic population states in continuous games ⋮ Imitative dynamics for games with continuous strategy space ⋮ Neighborhood strong superiority and evolutionary stability of polymorphic profiles in asymmetric games ⋮ Asymptotic stability of strongly uninvadable sets ⋮ Stability of the replicator dynamics for games in metric spaces ⋮ Pairwise comparison dynamics for games with continuous strategy space ⋮ Stability of the replicator equation for a single species with a multi-dimensional continuous trait space ⋮ Dynamically stable sets in infinite strategy spaces ⋮ The replicator equation and other game dynamics ⋮ Equilibrium selection and the dynamic evolution of preferences ⋮ Evolutionary Game Theory ⋮ Evolutionary dynamics on measurable strategy spaces: asymmetric games ⋮ Red queen dynamics in specific predator-prey systems ⋮ Stability of faces in asymmetric evolutionary games ⋮ Conspicuous consumption dynamics ⋮ Game theory and evolution: Finite size and absolute fitness measures ⋮ Shared intentions: the evolution of collaboration ⋮ Replicator equations and the principle of minimal production of information ⋮ Evolutionary game dynamics ⋮ Evolutionary stability of polymorphic profiles in asymmetric games ⋮ Brown-von Neumann-Nash dynamics: The continuous strategy case ⋮ Evolution in games with a continuous action space ⋮ Lyapunov functions for time-scale dynamics on Riemannian geometries of the simplex ⋮ Equilibria of a predator prey model of phenotype evolution ⋮ Stochastic value formation ⋮ Evolutionarily Robust Strategies: Two Nontrivial Examples and a Theorem ⋮ Measure dynamics on a one-dimensional continuous trait space: theoretical foundations for adaptive dynamics ⋮ The replicator dynamics for games in metric spaces: finite approximations ⋮ Stability of the replicator equation with continuous strategy space ⋮ The logit dynamic for games with continuous strategy sets ⋮ Dynamical aspects of evolutionary stability ⋮ On the dynamic foundation of evolutionary stability in continuous models.

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