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The Evolutionary Game of Poverty Traps

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  • Edgar Sanchez Carrera

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Abstract

We study an evolutionary game in which the individual behavior of the economic agents can lead the economy either into a low-level or a high-level equilibrium. The model represents two asymmetric populations, “leaders and followers”, where in each round an economic agent of population 1 is paired with a member of population 2. Our evolutionary game is a signaling game in which only the leader has private information. The leader moves first; the follower observes the leader's action, but not the leader's type, before choosing her own action. We found the equilibria both as self-confirming and evolutionarily stable strategies. Furthermore, considering an imitative behavior of the followers, we show that to overcome the poverty trap there exists a threshold value equals to the ratio "education costs-efficiency wages" of the number of high-profile economic agents

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Paper provided by Department of Economics, University of Siena in its series Department of Economics University of Siena with number 555.

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Date of creation: Feb 2009
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Handle: RePEc:usi:wpaper:555

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Keywords: Evolutionary games; imitation rule; poverty traps; replicator dynamics; signaling games; strategic complementarities;

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  1. Schlag, Karl H., 1994. "Why Imitate, and if so, How? Exploring a Model of Social Evolution," Discussion Paper Serie B 296, University of Bonn, Germany.
  2. Durlauf,S.N., 2003. "Neighborhood effects," Working papers 17, Wisconsin Madison - Social Systems.
  3. Azariadis, Costas & Drazen, Allan, 1990. "Threshold Externalities in Economic Development," The Quarterly Journal of Economics, MIT Press, vol. 105(2), pages 501-26, May.
  4. Lucas, Robert Jr, 1976. "Econometric policy evaluation: A critique," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 1(1), pages 19-46, January.
  5. Durlauf, S.N., 1992. "A Theory of Persistent Income Inequality," Papers 47, Stanford - Institute for Thoretical Economics.
  6. Alos-Ferrer, Carlos & Weidenholzer, Simon, 2006. "Imitation, local interactions, and efficiency," Economics Letters, Elsevier, vol. 93(2), pages 163-168, November.
  7. Bellante, Don, 1994. " Sticky Wages, Efficiency Wages, and Market Processes," The Review of Austrian Economics, Springer, vol. 8(1), pages 21-33.
  8. Schlag, Karl H., 1996. "Which one should I imitate?," Discussion Paper Serie B 365, University of Bonn, Germany.
  9. Azariadis, Costas, 1996. " The Economics of Poverty Traps: Part One: Complete Markets," Journal of Economic Growth, Springer, vol. 1(4), pages 449-96, December.
  10. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
  11. Acemoglu, Daron, 1996. "A Microfoundation for Social Increasing Returns in Human Capital Accumulation," The Quarterly Journal of Economics, MIT Press, vol. 111(3), pages 779-804, August.
  12. Karl H. Schlag, . "Why Imitate, and if so, How? A Bounded Rational Approach to Multi- Armed Bandits," ELSE working papers 028, ESRC Centre on Economics Learning and Social Evolution.
  13. Thomas J Sargent, 2007. "Evolution and Intelligent Design," Levine's Bibliography 122247000000001821, UCLA Department of Economics.
  14. Azariadis, Costas & Stachurski, John, 2005. "Poverty Traps," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 5 Elsevier.
  15. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-39, May.
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