IDEAS home Printed from https://ideas.repec.org/a/qua/journl/v9y2012i2p29-43.html
   My bibliography  Save this article

On feedback nash equilibrium and cooperation in the neoclassical growth model

Author

Listed:
  • 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.

Suggested Citation

  • Edgar J. Sanchez Carrera, 2012. "On feedback nash equilibrium and cooperation in the neoclassical growth model," EconoQuantum, Revista de Economia y Finanzas, Universidad de Guadalajara, Centro Universitario de Ciencias Economico Administrativas, Departamento de Metodos Cuantitativos y Maestria en Economia., vol. 9(2), pages 29-43, Julio-Dic.
    • Handle: RePEc:qua:journl:v:9:y:2012:i:2:p:29-43
    as

    Download full text from publisher

    File URL: http://econoquantum.cucea.udg.mx/index.php/EQ/article/view/147
    Download Restriction: no
    File URL: http://econoquantum.cucea.udg.mx/index.php/EQ/issue/view/22
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Alberto Alesina & Dani Rodrik, 1994. "Distributive Politics and Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(2), pages 465-490.
    2. Benhabib, Jess & Rustichini, Aldo, 1996. "Social Conflict and Growth," Journal of Economic Growth, Springer, vol. 1(1), pages 125-142, March.
    3. C. González-Alcón & J. Sicilia & J. A. Álvarez, 1999. "Nash Equilibria in a Differential Game of Economic Growth," Journal of Optimization Theory and Applications, Springer, vol. 103(2), pages 337-357, November.
    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. 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 421-438, May.
    6. Lancaster, Kelvin, 1973. "The Dynamic Inefficiency of Capitalism," Journal of Political Economy, University of Chicago Press, vol. 81(5), pages 1092-1109, Sept.-Oct.
    7. Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, December.
    8. Ines Lindner & Holger Strulik, 2004. "Distributive politics and economic growth: the Markovian Stackelberg solution," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(2), pages 439-444, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chang, Roberto, 1998. "Political party negotiations, income distribution, and endogenous growth," Journal of Monetary Economics, Elsevier, vol. 41(2), pages 227-255, April.
    2. Jess Benhabib, 2003. "The Tradeoff Between Inequality and Growth," Annals of Economics and Finance, Society for AEF, vol. 4(2), pages 491-507, November.
    3. Acemoglu, Daron & Robinson, James A., 2006. "Economic Backwardness in Political Perspective," American Political Science Review, Cambridge University Press, vol. 100(1), pages 115-131, February.
    4. Isaac Ehrlich & Jinyoung Kim, 2007. "The Evolution of Income and Fertility Inequalities over the Course of Economic Development: A Human Capital Perspective," Journal of Human Capital, University of Chicago Press, vol. 1(1), pages 137-174.
    5. Günther Rehme, 2007. "Economic Growth and (Re-)Distributive Policies in a Non-cooperative World," Journal of Economics, Springer, vol. 91(1), pages 1-40, May.
    6. Julio Huato, 2023. "Inequality and Growth: A Two-Player Dynamic Game with Production and Appropriation," Papers 2304.01855, arXiv.org.
    7. César Martinelli & John Duggan, 2014. "The Political Economy of Dynamic Elections: A Survey and Some New Results," Working Papers 1403, Centro de Investigacion Economica, ITAM.
    8. Diego Aboal, 2020. "Electoral systems and economic growth," Economia Politica: Journal of Analytical and Institutional Economics, Springer;Fondazione Edison, vol. 37(3), pages 781-805, October.
    9. Leong, Chee Kian & Huang, Weihong, 2010. "A stochastic differential game of capitalism," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 552-561, July.
    10. Ugo Panizza, 1999. "Desigualdad del ingreso y crecimiento económico: elementos de juicio de datos de USA," Research Department Publications 4179, Inter-American Development Bank, Research Department.
    11. Roland Bénabou, 1996. "Inequality and Growth," NBER Chapters, in: NBER Macroeconomics Annual 1996, Volume 11, pages 11-92, National Bureau of Economic Research, Inc.
    12. Galor, Oded & Zang, Hyoungsoo, 1997. "Fertility, income distribution, and economic growth: Theory and cross-country evidence," Japan and the World Economy, Elsevier, vol. 9(2), pages 197-229, May.
    13. Rehme, Gunther, 2006. "Redistribution and economic growth in integrated economies," Journal of Macroeconomics, Elsevier, vol. 28(2), pages 392-408, June.
    14. Klaus Schmidt-Hebbel & José-Carlos Tello, 2014. "The Political Economy of Growth, Inequality, the Size and Composition of Government Spending," Working Papers 19, Peruvian Economic Association.
    15. Leong, Chee Kian, 2008. "Capitalism and Economic Growth: A Game-Theoretic Perspective," MPRA Paper 10472, University Library of Munich, Germany.
    16. Kanbur, Ravi, 2002. "Education, Empowerment, and Gender Inequalities," Working Papers 127300, Cornell University, Department of Applied Economics and Management.
    17. Verónica Fossati, 2002. "Desigualdad y Crecimiento. Un Análisis para las Provincias Argentinas," Department of Economics, Working Papers 043, Departamento de Economía, Facultad de Ciencias Económicas, Universidad Nacional de La Plata.
    18. Rehme, G., 1999. "Why are the Data at Odds with Theory? Growth and (Re-)Distributive Policies in Integrated Economies," Economics Working Papers eco99/43, European University Institute.
    19. Köppl-Turyna, Monika & Christl, Michael & De Poli, Silvia, 2024. "Does redistribution hurt growth? An empirical assessment of the redistribution-growth relationship in the European Union," Research Papers 27, EcoAustria – Institute for Economic Research.
    20. Halkos, George, 2008. "A Stackelberg Model on Taxing Polluting Firms," MPRA Paper 23741, University Library of Munich, Germany.

    More about this item

    Keywords

    Differential games; Nash equilibria; Neoclassical Growth model;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D69 - Microeconomics - - Welfare Economics - - - Other
    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
    • O49 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Other

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:qua:journl:v:9:y:2012:i:2:p:29-43. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sandra Ivett Portugal Padilla (email available below). General contact details of provider: https://edirc.repec.org/data/dmudgmx.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.