Dynamics Associated to Games (Fictitious Play) with Chaotic Behavior

DOI10.1007/978-3-642-11456-4_48zbMath1253.37093OpenAlexW1599781476MaRDI QIDQ2908466

Sebastian J. van Strien, Colin Sparrow

Publication date: 5 September 2012

Published in: Dynamics, Games and Science I (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-11456-4_48

zbMATH Keywords

two-player gamesdynamics and game theoryficitious play

Mathematics Subject Classification ID

2-person games (91A05) Applications of dynamical systems (37N99)

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Cites Work

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• Fictitious play in \(3 \times 3\) games: chaos and dithering behaviour
• Two more classes of games with the continuous-time fictitious play property
• Fictitious play in 3\(\times \)3 games: The transition between periodic and chaotic behaviour
• Adaptive and sophisticated learning in normal form games
• Non-smooth dynamical systems
• Fictitious play in \(2\times n\) games
• Fictitious play property for games with identical interests
• The convergence of fictitious play in games with strategic complementarities
• An iterative method of solving a game
• Bifurcations in Nonsmooth Dynamical Systems