Abstract
This paper develops a bioeconomic model applying evolutionary game theory to the notion of poverty traps. We study the evolution of the social norm of being either a high-type or low-type in a dynamic environment where agents are driven by an imitative behavior. History matters because given initial conditions, agents imitate according to their current success in payoffs and the current profile of economic agents in the economy. We define a poverty trap as an evolutionarily stable strategic profile and steady state of the replicator dynamics. We show that in poor economies with a large fraction of low-type agents imitative strategies do not support a take-off into sustained growth. To achieve that take-off, society should subsidize critical parameters of the expected payoffs such that economic agents may change the initial conditions and the economy gets a critical mass of high-type economic agents, and so to overcome the poverty trap.
Similar content being viewed by others
References
Accinelli, E., Brida, G., & Carrera, E. (2009). Imitative behavior in a two population model. In M. Breton & K. Szajowski (Eds.), Advances in dynamic games. Applications, and numerical methods for differential and stochastic games (Vol. 11). Dedicated to the Memory of Arik A. Melikyan. Series: Annals of the International Society of Dynamic Games. New York: Springer.
Accinelli, E., & Carrera, E. J. S. (2011a). The evolutionary game of poverty traps. The Manchester School (forthcoming) Available as a working paper in Carrera, (2009) “The Evolutionary Game of Poverty Traps”, Quaderni del Dipartimento di Economia Politica n. 555, Universtia degli Studi di Siena. http://ideas.repec.org/p/usi/wpaper/555.html
Accinelli E., Carrera E. J. S. (2011b) Strategic complementarities between innovative firms and skilled workers: The poverty trap and the policymaker’s intervention. Structural Change and Economic Dynamics 22(1): 30–40
Acemoglu D. (1997) Training and innovation in an imperfect labor market. Review of Economic Studies 64: 445–464
Acemoglu D. (1998) Why do new technologies complement skills? Directed technical change and wage inequality. Quarterly Journal of Economics 113(4): 1055–1089
Apesteguia J., Huck S., Oechssler J. (2007) Imitation theory and experimental evidence. Journal of Economic Theory 136: 217–235
Binmore K., Samuelson L. (1997) Muddling through: Noisy equilibrium selection. Journal of Economic Theory 74(2): 235–265
Björnerstedt J., Weibull J. W. (1996) Nash equilibrium and evolution by imitation. In: Arrow K. J., Colombatto E., Perlman M., Schmidt C. (eds) The rational foundations of economic behavior. St. Martin’s Press, New York, pp 155–181
Bowles S. (1998) Endogenous preferences: The cultural consequences of markets and other economic institutions. Journal of Economic Literature 36(1): 75–111
Bowles S. (2006) Institutional poverty traps. In: Bowles S., Durlauf S. N., Hoff K. (eds) Poverty traps. Princeton University Press, Princeton, NJ
Cimoli M., Ferraz J. C., Primi A. (2009) Science, technology and innovation policies in global open economies: Reflections from Latin America and the Caribbean. Journal Globalization Competitiveness & Governability 3(1): 32–60
Cooper R., John A. (1998) Coordinating coordination failures in Keynesian models. Quarterly Journal of Economics, 103: 441–463
Doepke M., Zilibotti F. (2008) Occupational choice and the spirit of capitalism. Quarterly Journal of Economics 123(2): 747–793
Durlauf S. (1996) A theory of persistent income inequality. Journal of Economic Growth 1: 75–93
Durlauf S. (2001) The memberships theory of poverty: The role of group affiliations in determining socioeconomic outcomes. In: Danziger S., Haveman R. (eds) Understanding poverty in America. Harvard University Press, Cambridge
Durlauf, S. (2003). Neighborhood effects. Madison: University of Wisconsin, Department of Economics. SSRI Working Paper 17, prepared for J. V. Henderson & J.-F. Thisse (Eds.), Handbook of regional and urban economics (Vol. 4), Economics.
Ewald P. W. (1994) Evolution of infectious disease. Oxford University Press, Oxford
Fudenberg D., Maskin E. (1986) The folk theorem in repeated games with discounting or with incomplete information. Econometrica 54(3): 533–554
Gallup J.L., Sachs J.D. (2001) The economic burden of malaria. American Journal of Tropical Medicine and Hygiene 64: 85–86
Galor O., Weil D. (2000) Population, technology and growth: From Malthusian stagnation to the demographic transition and beyond. American Economic Review 90: 806–828
Gintis H. (2009) Game theory evolving (2nd ed.). Princeton University Press, Princeton, NJ
Hoff, K. (2001). Beyond Rosenstein-Rodan: The modern theory of coordination problems in development (pp. 145–176). Annual World Bank Conference on Development: The World Bank.
Kandori M., Mailath G. J., Rob R. (1993) Learning, mutation, and long run equilibria in games. Econometrica 61(1): 29–56
Kopinak K. (1995) Gender as a vehicle for the subordination of women maquiladora workers in Mexico. Latin American Perspectives 22(1): 30–48
Kremer M., Chen D. (1999) Income-distribution dynamics with endogenous fertility. The American Economic Review 89(2): 155–160
Matsuyama K. (2008) Poverty traps. In: Durlauf S. N., Blume L. E. (eds) The new Palgrave dictionary of economics. Palgrave Macmillan, New York
Maynard Smith J. (1982) Evolution and the theory of games. Cambridge University Press, Cambridge
Maynard Smith J., Price G. R. (1973) The logic of animal conflict. Nature 246: 15–18
Motulsky A. G. (1960) Metabolic polymorphisms and the role of infectious disease in human evolution. Human Biology 32: 28–62
Nelson, R., & Phelps, E. (1966). Investment in humans, technological diffusion, and economic growth. American Economic Review, 61, 69–75.
Nowak M., Sigmund K. (2004) Evolutionary dynamics of biological games. Science 303(3): 793–798
Polterovich V. (2008) Institutional trap. In: Durlauf S. N., Blume L. E. (eds) The new Palgrave dictionary of economics. Palgrave Macmillan, New York
Poulsen A., Svendsen G. (2005) Social capital and endogenous preferences. Public Choice 123(1–2): 171–196
Ros J. (2000) Development theory and economics of growths. The University of Michigan Press, Ann Arbor
Sachs J., Malaney P. (2002) The economic and social burden of malaria. Nature 415: 680–685
Sachs J., McArthur J. W., Schmidt-Traub G., Kruk M., Bahadur C., Faye M., McCord G. (2004) Ending Africa’ s poverty trap. Brookings Papers on Economic Activity 1: 117–240
Sanditov, B. (2006). Essays on social learning and imitation. Ph.D. thesis, Maastrictht University.
Schlag K. H. (1998) Why imitate, and if so, how? A boundedly rational approach to multi-armed bandits. Journal of Economic Theory 78(1): 130–156
Schlag K. H. (1999) Which one should I imitate. Journal of Mathematical Economics 31(4): 493–522
Schultz T. W. (1975) The value of the ability to deal with disequilibria. Journal of Economic Literature 13: 827–846
Weibull W. J. (1995) Evolutionary game theory. The MIT Press, Cambridge
World Health Organization: (2004) World health report; changing history. World Health Organization, Geneva
Young H. P. (1993) The evolution of conventions. Econometrica 61(1): 57–84
Young H. P. (2001) Individual strategy and social structure: An evolutionary theory of institutions. Princeton University Press, Princeton, NJ
Zeeman, A. C. (1992). Population dynamics from game theory. In Z. Nitecki & C. Robinson (Eds.), Global theory of dynamical systems (pp. 471–497). Lecture notes in mathematics 819. New York: Springer.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Carrera, E.J.S. Imitation and evolutionary stability of poverty traps. J Bioecon 14, 1–20 (2012). https://doi.org/10.1007/s10818-011-9114-0
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10818-011-9114-0