2002/06/06 by Michael Lässig, Michael Lassig, Lassig, Michael · 1 citation
Biochemistry, Genetics and Molecular Biology · Decision Sciences · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Biological sciences #FOS: Physical sciences #Game Theory and Applications #Quantitative Biology (q-bio) #Quantum Mechanics and Applications #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #q-bio
paper · pdf · doi:10.48550/arxiv.cond-mat/0206093
6 pages, 1 Postscript figure
arxiv created 2002/06/06 · openalex publication_date 2002/06/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A systematic theory is introduced that describes stochastic effects in game theory. In a biological context, such effects are relevant for the evolution of finite populations with frequency-dependent selection. They are characterized by quantum Nash equilibria, a generalization of the well-known Nash equilibrium points in classical game theory. The implications of this theory for biological systems are discussed in detail.