Fictitious Play for Mixed Strategy Equilibria in Mean Field Games: Abstract and Introduction | HackerNoon
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from Hackernoon3 days ago
This paper examines mean field games with optimal stopping, addressing the complexity of coupled obstacle and Fokker-Planck equations which differ from classic models.
Hackernoonhttps://hackernoon.com/fictitious-play-for-mixed-strategy-equilibria-in-mean-field-games-abstract-and-introduction
The proposed generalized fictitious play algorithm computes OSMFG mixed equilibria by solving pure strategy systems, effectively enabling agents to make optimal exit decisions.
Hackernoonhttps://hackernoon.com/fictitious-play-for-mixed-strategy-equilibria-in-mean-field-games-abstract-and-introduction
Numerical experiments highlight the efficiency of the new method in robustly computing mixed equilibria for OSMFGs, demonstrating significant advancements in strategic interaction modeling.
Hackernoonhttps://hackernoon.com/fictitious-play-for-mixed-strategy-equilibria-in-mean-field-games-abstract-and-introduction
The generalized fictitious play introduces a variety of learning rates while ensuring convergence to mixed strategy equilibrium, enhancing the understanding of agent decision-making.
Hackernoonhttps://hackernoon.com/fictitious-play-for-mixed-strategy-equilibria-in-mean-field-games-abstract-and-introduction
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#mean-field-games #optimal-stopping #fictitious-play #numerical-analysis #game-theory
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