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On feedback nash equilibrium and cooperation in the neoclassical growth model

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  • Edgar J. Sanchez Carrera

    ()
    (Universidad Autonoma de San Luis Potosi)

Abstract

Far away from any ideological point of view, our aim in this paper is to study, in a differential-game-theoretical approach, the standard growth model. Our baseline model comes from Kaitala y Pohjola (2009) based on the original ideas of Lancaster (1973). We focus on the computation of feedback strategies and we use history-dependent strategies, such as trigger strategies, in which to begin by cooperating and will cooperate as long as the rivals do, and upon observing a defection, it will immediately imply to revert to a period of punishment of specified length in which everyone plays non-cooperatively. We show that trigger strategies are employed by both groups to sustain cooperation as equilibrium. Then, we conclude that players’ memory strategies are the key for attaining the maximum economic growth.

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Bibliographic Info

Article provided by Universidad de Guadalajara, Centro Universitario de Ciencias Economico Administrativas, Departamento de Metodos Cuantitativos y Maestria en Economia. in its journal EconoQuantum, Revista de Economia y Negocios.

Volume (Year): 9 (2012)
Issue (Month): 2 (Julio-Diciembre)
Pages: 29-43

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Handle: RePEc:qua:journl:v:9:y:2012:i:2:p:29-43

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Keywords: Differential games; Nash equilibria; Neoclassical Growth model;

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  1. Alesina, Alberto F & Rodrik, Dani, 1991. "Distributive Politics and Economic Growth," CEPR Discussion Papers 565, C.E.P.R. Discussion Papers.
  2. Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, December.
  3. Kaitala, Veijo & Pohjola, Matti, 1990. "Economic Development and Agreeable Redistribution in Capitalism: Efficient Game Equilibria in a Two-Class Neoclassical Growth Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(2), pages 421-38, May.
  4. Steffen Jørgensen & Georges Zaccour, 2007. "Developments in differential game theory and numerical methods: economic and management applications," Computational Management Science, Springer, vol. 4(2), pages 159-181, April.
  5. Lancaster, Kelvin, 1973. "The Dynamic Inefficiency of Capitalism," Journal of Political Economy, University of Chicago Press, vol. 81(5), pages 1092-1109, Sept.-Oct.
  6. Benhabib, Jess & Rustichini, Aldo, 1996. " Social Conflict and Growth," Journal of Economic Growth, Springer, vol. 1(1), pages 125-42, March.
  7. Ines Lindner & Holger Strulik, 2004. "Distributive politics and economic growth: the Markovian Stackelberg solution," Economic Theory, Springer, vol. 23(2), pages 439-444, January.
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