Discretized best-response dynamics for the Rock-Paper-Scissors game

DOI10.3934/JDG.2017005zbMath1355.39007OpenAlexW2561989446MaRDI QIDQ501746

Josef Hofbauer, Peter Bednarik

Publication date: 10 January 2017

Published in: Journal of Dynamics and Games (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jdg.2017005

zbMATH Keywords

discretizationperiodic orbitsglobal asymptotic stabilitybest response dynamicsRock-Paper-Scissors game

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Discontinuous ordinary differential equations (34A36) Evolutionary games (91A22) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28)

Related Items (4)

Minimax Generalized Solutions of Hamilton-Jacobi Equations in Dynamic Bimatrix Games ⋮ Evolutionary game theory: a renaissance ⋮ Nonlinear dynamics with Hopf bifurcations by targeted mutation in the system of rock-paper-scissors metaphor ⋮ Periodic attractor in the discrete time best-response dynamics of the rock-paper-scissors game

Cites Work

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• Perturbations of set-valued dynamical systems, with applications to game theory
• Fictitious play, Shapley polygons, and the replicator equations
• Best response dynamics for continuous zero-sum games
• Social Stability and Equilibrium
• Evolutionary Games and Population Dynamics
• Cycles and Instability in a Rock-Paper-Scissors Population Game: A Continuous Time Experiment
• A Hopf bifurcation theorem for difference equations approximating a differential equation

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