Araujo, Ricardo Azevedo and Moreira, Helmar Nunes (2011): Lyapunov stability in an evolutionary game theory model of the labor market.
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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.
|Item Type:||MPRA Paper|
|Original Title:||Lyapunov stability in an evolutionary game theory model of the labor market|
|Keywords:||Evolutionary game theory approach, labour market, informal economy, Lyapunov function|
|Subjects:||C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C73 - Stochastic and Dynamic Games ; Evolutionary Games ; Repeated Games
J - Labor and Demographic Economics > J2 - Demand and Supply of Labor > J23 - Labor Demand
|Depositing User:||Ricardo Araujo|
|Date Deposited:||25. Feb 2012 21:18|
|Last Modified:||20. Feb 2013 00:35|
Acemoglu, D. 2002. Technical Change, Inequality, and the Labor Market. Journal of Economic Literature XL, 7–72.
Acemoglu, D. 1998. Why Do New Technologies Complement Skills? Directed Technical Change and Wage Inequality. Quarterly Journal of Economics 113, 1055 – 1089.
Araujo, R. and Souza, N. 2010. An Evolutionary Game Theory Approach to the Dynamics of the Labor Market: A Formal and Informal Perspective. Structural Change and Economic Dynamics, (forthcoming). DOI information: 10.1016/j.strueco.2009.11.002.
Benhabib J., Spiegel, M. 1994. The role of human capital in economic development: Evidence from aggregate cross-country data. Journal of Monetary Economics 34, 143–173.
Deissenberg, C., Feichtinger, G., Semmler W. and Wirl, F. 2003. Multiple Equilibria, History Dependence, and Global Dynamics in Intertemporal Optimization Models. Working Paper No. 57. Center for Empirical Macroeconomics.
Fagiolo, G., Dosi, G. and Gabriele, R. 2004. Matching, Bargaining, and Wage Setting in an Evolutionary Model of Labor Market and Output Dynamics. Advances in Complex Systems 7, 157–186.
Fiess, N. Fugazza, M and Maloney, W. 2010. Informal self-employment and macroeconomic fluctuations. Journal of Development Economics 91, 211–226.
Fortin, B., Marceau, N. and Savard, L. 1997. Taxation, wage controls and the informal sector. Journal of Public Economics 66, 293 – 312.
Gintis, H. 2000. Game Theory Evolving: A Problem-Centered Introduction to Modeling Strategic Interaction. Princenton University Press. Princeton, New Jersey.
Greenwood, J. and Yorukoglu, M. 1997. 1974. Carnegie-Rochester Conference Series on Public Policy 46, 49–95. Hendicks, L. 2000. Equipment investment and growth in developing countries. Journal of Development Economics 61, 335–364.
Hiller, V. 2010. Workers’ Behaviour and Labor Contract: An Evolutionary Approach. Metroeconomica 62, 152 – 179.
Hirschman, A. 1970. Exit, Voice, and Loyalty: Responses to Decline in Firms Organizations, and States. Cambridge, MA: Harvard University Press.
Hofbauer, J. and Sigmund, K. 1988. The Theory of Evolution and Dynamical Systems. Mathematical Society Student Texts, 7. Cambridge University Press, Cambridge.
Hofbauer, J. and Sigmund, K. 2003. Evolutionary Games and Population Dynamics. Cambridge University Press. United Kingdom.
Lavezzi, A. 2006. On High-Skill and Low-Skill Equilibria: a Markov Chain Approach, Metroeconomica 57, 121 – 157.
Loayza, N. 1996. The Economics of the Informal Sector: A Simple Model and Some Empirical Evidence from Latin America. Carnegie-Rochester Conference Series on Public Policy 45, 129 – 162.
Loayza, N., Oviedo, A. and Serven, L. 2005a. Regulation and Firm Dynamics. mimeo, The World Bank.
Loayza, N. and Oviedo, A. and Serven, L. 2005b. The Impact of Regulation on Growth and Informality: Cross Country Evidence. World Bank Policy Working Paper 3623.
Loyaza, N. and Rigolini, J. 2006. Informality trends and cycles. World Bank Policy Research Working Paper 4078.
Maloney, W. 2004. Informality Revisited. World Development, 32, 1159 – 1178.
Mattos, E. and Ogura, L. 2007. Skill differentiation between formal and informal employment. Journal of Economic Studies 36(5), 461 – 478.
Nani, F. and Freedman, H. 2000. A Mathematical Model of Cancer Therapy by Immunotherapy. Mathematical Biosciences 163, 159 – 199.
Pissarides, C. 2000. Equilibrium Unemployment Theory. The MIT Press. Cambridge, Massachusetts.
Rausch, J., 1991. Modelling the Informal Sector Formally. Journal of Development Economics, 35, 33 – 47.
Redding, S. 1996. Low-Skill, Low-Quality Trap: Strategic Complementarities between Human Capital and R&D. Economic Journal 106, 458 – 470.
Schneider, F. and Enste, D. 2000. Shadow Economies: Size, Causes and Consequences. Journal of Economic Literature, 38, 77 – 114.
Snower, D. 1994. The Low-Skill, Bad-Job Trap. IMF Working Paper No. 94/83.
Skiba, A. 1978. Optimal Growth with a Convex-Concave Production Function. Econometrica 46, 527 – 539.
Straub, S., 2005. Informal Sector: The Credit Market Channel. Journal of Development Economics, 78, 299 – 321.
Takeuchi, Y. 1996. Global Dynamical Properties of Lotka-Volterra Systems. World Scientific Publishing Co. Pte. Ltd. Singapore.
Vega-Redondo, F. 1996. Evolution, Games and Economic Behaviour. Oxford University Press Inc. New York.
Wirl, F. and Feichtinger, G. 2005. History Dependence in concave economies. Journal of Economic Behaviour & Organization 57, 390 – 407.
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