Mixed Nash equilibria for continuous games and reverse mathematics

DOI10.2989/16073606.2022.2035448OpenAlexW4212871700MaRDI QIDQ6104971

Weiguang Peng, NingNing Peng, Takeshi Yamazaki

Publication date: 26 June 2023

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2022.2035448

zbMATH Keywords

Nash equilibriumreverse mathematicsmeasure theorycontinuous games

Mathematics Subject Classification ID

Foundations of classical theories (including reverse mathematics) (03B30) Second- and higher-order arithmetic and fragments (03F35)

Cites Work

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• Fixed point theory in weak second-order arithmetic
• Measure theory and weak König's lemma
• First steps in constructive game theory
• Lebesgue Convergence Theorems and Reverse Mathematics
• Two kinds of fixed point theorems and reverse mathematics
• Equilibrium points in n -person games
• A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points

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