Multiple equilibria and limit cycles in evolutionary games with Logit Dynamics
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DOI: 10.1016/j.geb.2011.05.014
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Games and Economic Behavior, Elsevier, vol. 80(C), pages 39-67.
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- Cheng, Haihui & Meng, Xinzhu & Hayat, Tasawar & Hobiny, Aatef, 2023. "Multistability and bifurcation analysis for a three-strategy game system with public goods feedback and discrete delays," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
- Tian-Jiao Feng & Jie Mei & Rui-Wu Wang & Sabin Lessard & Yi Tao & Xiu-Deng Zheng, 2022. "Noise-Induced Quasi-Heteroclinic Cycle in a Rock–Paper–Scissors Game with Random Payoffs," Dynamic Games and Applications, Springer, vol. 12(4), pages 1280-1292, December.
- Michele Berardi, 2015. "Expectations formation under adaptive learning and evolutionary dynamics," Centre for Growth and Business Cycle Research Discussion Paper Series 206, Economics, The University of Manchester.
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Journal of Economic Behavior & Organization, Elsevier, vol. 212(C), pages 1056-1085.
- Marwil J. Davila-Fernandez & Serena Sordi, 2022. "The Green-MKS system: A baseline environmental macro-dynamic model," Department of Economics University of Siena 890, Department of Economics, University of Siena.
- Li Xu & Jin Wang, 2018. "Landscape and flux for quantifying global stability and dynamics of game theory," PLOS ONE, Public Library of Science, vol. 13(8), pages 1-27, August.
- Xu, Bin & Zhou, Hai-Jun & Wang, Zhijian, 2013. "Cycle frequency in standard Rock–Paper–Scissors games: Evidence from experimental economics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 4997-5005.
- Zhang, Boyu & Hofbauer, Josef, 2016. "Quantal response methods for equilibrium selection in 2×2 coordination games," Games and Economic Behavior, Elsevier, vol. 97(C), pages 19-31.
- Umezuki, Yosuke, 2018. "Bifurcation analysis of the rock–paper–scissors game with discrete-time logit dynamics," Mathematical Social Sciences, Elsevier, vol. 95(C), pages 54-65.
- Qin, Shipeng & Zhang, Gang & Tian, Haiyan & Hu, Wenjun & Zhang, Xiaoming, 2020. "Dynamics of asymmetric division of labor game with environmental feedback," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 543(C).
- Ochea, Marius-Ionut, 2013. "Evolution of repeated prisoner's dilemma play under logit dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2483-2499.
- Kukla, Elżbieta & Płatkowski, Tadeusz, 2013. "Onset of limit cycles in population games with attractiveness driven strategy choice," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 77-82.
- Philip Solimine & Luke Boosey, 2021. "Strategic formation of collaborative networks," Papers 2109.14204, arXiv.org, revised Apr 2024.
- Wenjun Hu & Haiyan Tian & Gang Zhang, 2019. "Bifurcation Analysis of Three-Strategy Imitative Dynamics with Mutations," Complexity, Hindawi, vol. 2019, pages 1-8, October.
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More about this item
Keywords
Evolutionary games; Logit dynamics; Hopf bifurcation; Fold bifurcation;All these keywords.
JEL classification:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
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