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Nonlinear dynamics from discrete time two-player status-seeking games

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Publication:1686346
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DOI10.3934/jdg.2017018zbMath1386.91031OpenAlexW2755933819MaRDI QIDQ1686346

Borun Shi, Robert A. van Gorder

Publication date: 22 December 2017

Published in: Journal of Dynamics and Games (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jdg.2017018


zbMATH Keywords

chaosnonlinear dynamicstwo-player gamesstatus-seeking games


Mathematics Subject Classification ID

Discrete-time games (91A50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamic games (91A25)




Cites Work

  • Chaos may be an optimal plan
  • Controlling the Cournot-Nash chaos
  • Envelope theorems for locally differentiable open-loop Stackelberg equilibria of finite horizon differential games
  • Dynamic complexity in duopoly games
  • Exotic phenomena in games and duopoly models
  • Production, growth and business cycles: Technical appendix
  • Keeping up the Joneses. Chaotic patterns in a status game
  • Continuous-time dynamic games for the Cournot adjustment process for competing oligopolists
  • Optimal decisions over time and strange attractors: an analysis by the Bellman principle
  • Elements of applied bifurcation theory


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