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Lyapunov stability in an evolutionary game theory model of the labour market

Author

Listed:
  • Ricardo Azevedo Araujo

    (University of Brasília, Brazil)

  • Helmar Nunes Moreira

    (University of Brasília, Brazil)

Abstract

In this paper the existence and stability of equilibriums in an evolutionary game theory model of the labour market is studied by using the Lyapunov method. The model displays multiple equilibriums and it is shown that the Nash equilibriums of the static game are evolutionary stable equilibrium in the game theory evolutionary set up. A complete characterization of the dynamics of an evolutionary model of the labour market is provided.

Suggested Citation

  • Ricardo Azevedo Araujo & Helmar Nunes Moreira, 2014. "Lyapunov stability in an evolutionary game theory model of the labour market," Economia, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics], vol. 15(1), pages 41-53.
    • Handle: RePEc:anp:econom:v:15:y:2014:i:1:41_53
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    Cited by:

    1. Hu, Yu & Chi, Yuanying & Zhou, Wenbing & Li, Jialin & Wang, Zhengzao & Yuan, Yongke, 2023. "The interactions between renewable portfolio standards and carbon emission trading in China: An evolutionary game theory perspective," Energy, Elsevier, vol. 271(C).
    2. Li, Ye & Yang, Tianjian & Zhang, Yu, 2022. "Evolutionary game theory-based system dynamics modeling for community solid waste classification in China," Utilities Policy, Elsevier, vol. 79(C).
    3. Julio B. Clempner, 2018. "On Lyapunov Game Theory Equilibrium: Static and Dynamic Approaches," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 20(02), pages 1-14, June.
    4. Eghbali, Mohammad-Ali & Rasti-Barzoki, Morteza & Altmann, Jörn, 2024. "An evolutionary game-theoretic approach to analysis the green innovation chain dynamics under government policies," Technology in Society, Elsevier, vol. 77(C).
    5. Narges TALEBIMOTLAGH & Farzad HASHEMZADEH & Amir RIKHTEHGAR GHIASI & Sehraneh GHAEMI, 2017. "A Novel Method of Modeling Dynamic Evolutionary Game with Rational Agents for Market Forecasting," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 51(1), pages 281-302.
    6. Jing Gong & Hongyan Du & Yong Sun, 2023. "Collaboration among Governments, Pesticide Operators, and Farmers in Regulating Pesticide Operations for Agricultural Product Safety," Agriculture, MDPI, vol. 13(12), pages 1-20, December.

    More about this item

    Keywords

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    JEL classification:

    • E26 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Informal Economy; Underground Economy
    • J62 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Job, Occupational and Intergenerational Mobility; Promotion
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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