A QBD approach to evolutionary game theory

DOI10.1016/S0307-904X(03)00124-0zbMath1076.91009MaRDI QIDQ1433278

Abderezak Touzene, Lotfi Tadj

Publication date: 15 June 2004

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

Hessenberg matrixEvolutionary game theoryQBDblock Gauss-Seidel iteration methodBlock Gaussian eliminationQuasi-Birth and Death processes

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Evolutionary games (91A22)

Cites Work

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• Stochastic evolutionary game dynamics
• Evolutionary stable strategies: A review of basic theory
• Evolution, learning, and economic behavior
• Another approach to mutation and learning games
• Solution of finite QBD processes
• Birth-and-death processes on the integers with phases and general boundaries
• A logarithmic reduction algorithm for quasi-birth-death processes
• Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes
• Learning, Mutation, and Long Run Equilibria in Games

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