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Lyapunov Stability in an Evolutionary Game Theory Model of the Labor Market

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  • Araujo, Ricardo Azevedo

Abstract

In this paper the existence and stability of equilibria in an evolutionary game theory model of the labor market is studied by using the Lyapunov method. The model display multiple equilibria and it is shown that the Nash Equilibria of the static game are evolutionary stable equilibria in the game theory evolutionary set up. In this vein a complete characterization of the dynamics of an evolutionary model of the labor market is provided.

Suggested Citation

  • Araujo, Ricardo Azevedo, 2011. "Lyapunov Stability in an Evolutionary Game Theory Model of the Labor Market," MPRA Paper 29957, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:29957
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    References listed on IDEAS

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    1. Fortin, Bernard & Marceau, Nicolas & Savard, Luc, 1997. "Taxation, wage controls and the informal sector," Journal of Public Economics, Elsevier, vol. 66(2), pages 293-312, November.
    2. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-539, May.
    3. Redding, Stephen, 1996. "The Low-Skill, Low-Quality Trap: Strategic Complementarities between Human Capital and R&D," Economic Journal, Royal Economic Society, vol. 106(435), pages 458-470, March.
    4. Enlinson Mattos & Laudo M. Ogura, 2009. "Skill differentiation between formal and informal employment," Journal of Economic Studies, Emerald Group Publishing Limited, vol. 36(5), pages 461-480, September.
    5. Benhabib, Jess & Spiegel, Mark M., 1994. "The role of human capital in economic development evidence from aggregate cross-country data," Journal of Monetary Economics, Elsevier, vol. 34(2), pages 143-173, October.
    6. Snower, Dennis J., 1994. "The Low-Skill, Bad-Job Trap," CEPR Discussion Papers 999, C.E.P.R. Discussion Papers.
    7. Fiess, Norbert M. & Fugazza, Marco & Maloney, William F., 2010. "Informal self-employment and macroeconomic fluctuations," Journal of Development Economics, Elsevier, vol. 91(2), pages 211-226, March.
    8. Wirl, Franz & Feichtinger, Gustav, 2005. "History dependence in concave economies," Journal of Economic Behavior & Organization, Elsevier, vol. 57(4), pages 390-407, August.
    9. Loayza, Norman V. & Oviedo, Ana Maria & Serven, Luis, 2005. "The impact of regulation on growth and informality - cross-country evidence," Policy Research Working Paper Series 3623, The World Bank.
    10. Hendricks, Lutz, 2000. "Equipment investment and growth in developing countries," Journal of Development Economics, Elsevier, vol. 61(2), pages 335-364, April.
    11. Loayza, Norman V. & Rigolini, Jamele, 2006. "Informality trends and cycles," Policy Research Working Paper Series 4078, The World Bank.
    12. Victor Hiller, 2010. "Workers' Behavior And Labor Contract: An Evolutionary Approach," Metroeconomica, Wiley Blackwell, vol. 61(1), pages 152-179, February.
    13. Daron Acemoglu, 1998. "Why Do New Technologies Complement Skills? Directed Technical Change and Wage Inequality," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 113(4), pages 1055-1089.
    14. Maloney, William F., 2004. "Informality Revisited," World Development, Elsevier, vol. 32(7), pages 1159-1178, July.
    15. Straub, Stéphane, 2005. "Informal sector: The credit market channel," Journal of Development Economics, Elsevier, vol. 78(2), pages 299-321, December.
    16. Vega-Redondo, Fernando (ed.), 1996. "Evolution, Games, and Economic Behaviour," OUP Catalogue, Oxford University Press, number 9780198774723.
    17. Daron Acemoglu, 2002. "Technical Change, Inequality, and the Labor Market," Journal of Economic Literature, American Economic Association, vol. 40(1), pages 7-72, March.
    18. Loayza, Norman V., 1996. "The economics of the informal sector: a simple model and some empirical evidence from Latin America," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 45(1), pages 129-162, December.
    19. Rauch, James E., 1991. "Modelling the informal sector formally," Journal of Development Economics, Elsevier, vol. 35(1), pages 33-47, January.
    20. Andrea Mario Lavezzi, 2006. "On High‐Skill And Low‐Skill Equilibria: A Markov Chain Approach," Metroeconomica, Wiley Blackwell, vol. 57(2), pages 121-157, May.
    21. Dominik H. Enste & Friedrich Schneider, 2000. "Shadow Economies: Size, Causes, and Consequences," Journal of Economic Literature, American Economic Association, vol. 38(1), pages 77-114, March.
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    More about this item

    Keywords

    Evolutionary game theory approach; labour market; informal economy; Lyapunov function;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • J23 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Labor Demand

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