IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/44339.html
   My bibliography  Save this paper

Comparative Studies on Cooperative Stochastic Differential Game and Dynamic Sequential Game of Economic Maturity

Author

Listed:
  • Dai, Darong

Abstract

In the paper, we are encouraged to investigate the effect of game structure imposed on the minimum-time needed to economic maturity in a dynamic macroeconomic model. Indeed, we have established a basic framework for the comparative study of the cooperative stochastic differential game and dynamic sequential game of economic maturity. Moreover, in a simple stochastic growth model, closed-form solution of the minimum-time needed to economic maturity has been derived with the explicit condition, under which it is confirmed that cooperation between the representative household and the self-interested politician will definitely lead us to much faster economic maturity than that of sequential action, supplied, too. Finally, our model supports the comparative study of the minimum-time needed to economic maturity under different political- institution constraints.

Suggested Citation

  • Dai, Darong, 2012. "Comparative Studies on Cooperative Stochastic Differential Game and Dynamic Sequential Game of Economic Maturity," MPRA Paper 44339, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:44339
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/44339/1/MPRA_paper_44339.pdf
    File Function: original version
    Download Restriction: no

    References listed on IDEAS

    as
    1. Hoel, Michael, 1978. "Distribution and Growth as a Differential Game between Workers and Capitalists," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(2), pages 335-350, June.
    2. Leong, Chee Kian & Huang, Weihong, 2010. "A stochastic differential game of capitalism," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 552-561, July.
    3. Fwu-Ranq Chang & A. G. Malliaris, 2005. "Asymptotic Growth under Uncertainty: Existence and Uniqueness," World Scientific Book Chapters,in: Economic Uncertainty, Instabilities And Asset Bubbles Selected Essays, chapter 1, pages 3-8 World Scientific Publishing Co. Pte. Ltd..
    4. Narayana R. Kocherlakota, 2005. "Zero Expected Wealth Taxes: A Mirrlees Approach to Dynamic Optimal Taxation," Econometrica, Econometric Society, vol. 73(5), pages 1587-1621, September.
    5. Pohjola, Matti, 1983. "Nash and stackelberg solutions in a differential game model of capitalism," Journal of Economic Dynamics and Control, Elsevier, vol. 6(1), pages 173-186, September.
    6. de la Croix, David & Ponthiere, Gregory, 2010. "On the Golden Rule of capital accumulation under endogenous longevity," Mathematical Social Sciences, Elsevier, vol. 59(2), pages 227-238, March.
    7. Sen, Amartya, 1970. "Interpersonal Aggregation and Partial Comparability," Econometrica, Econometric Society, vol. 38(3), pages 393-409, May.
    8. Turnovsky, Stephen J., 2000. "Fiscal policy, elastic labor supply, and endogenous growth," Journal of Monetary Economics, Elsevier, vol. 45(1), pages 185-210, February.
    9. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-1630, October.
    10. Wälde, Klaus, 2011. "Production technologies in stochastic continuous time models," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 616-622, April.
    11. Acemoglu, Daron & Golosov, Mikhail & Tsyvinski, Aleh, 2011. "Political economy of Ramsey taxation," Journal of Public Economics, Elsevier, vol. 95(7), pages 467-475.
    12. George A. Akerlof, 1997. "Social Distance and Social Decisions," Econometrica, Econometric Society, vol. 65(5), pages 1005-1028, September.
    13. V. V. Chari & Patrick J. Kehoe, 1993. "Sustainable Plans and Mutual Default," Review of Economic Studies, Oxford University Press, vol. 60(1), pages 175-195.
    14. North, Douglass C, 1994. "Economic Performance through Time," American Economic Review, American Economic Association, vol. 84(3), pages 359-368, June.
    15. Barro, Robert J, 1990. "Government Spending in a Simple Model of Endogenous Growth," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 103-126, October.
    16. Rebelo, Sergio, 1991. "Long-Run Policy Analysis and Long-Run Growth," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 500-521, June.
    17. Judd, Kenneth L., 1985. "Redistributive taxation in a simple perfect foresight model," Journal of Public Economics, Elsevier, vol. 28(1), pages 59-83, October.
    18. Daron Acemoglu & Michael Golosov & Aleh Tsyvinski, 2008. "Political Economy of Mechanisms," Econometrica, Econometric Society, vol. 76(3), pages 619-641, May.
    19. Oliver E. Williamson, 2000. "The New Institutional Economics: Taking Stock, Looking Ahead," Journal of Economic Literature, American Economic Association, vol. 38(3), pages 595-613, September.
    20. Jones, Larry E & Manuelli, Rodolfo E & Rossi, Peter E, 1993. "Optimal Taxation in Models of Endogenous Growth," Journal of Political Economy, University of Chicago Press, vol. 101(3), pages 485-517, June.
    21. Chakraborty, Shankha, 2004. "Endogenous lifetime and economic growth," Journal of Economic Theory, Elsevier, vol. 116(1), pages 119-137, May.
    22. Daron Acemoglu & Mikhail Golosov & Aleh Tsyvinski, 2010. "Dynamic Mirrlees Taxation under Political Economy Constraints," Review of Economic Studies, Oxford University Press, vol. 77(3), pages 841-881.
    23. John Ferejohn, 1986. "Incumbent performance and electoral control," Public Choice, Springer, vol. 50(1), pages 5-25, January.
    24. Christopher Phelan & Ennio Stacchetti, 2001. "Sequential Equilibria in a Ramsey Tax Model," Econometrica, Econometric Society, vol. 69(6), pages 1491-1518, November.
    25. Amable, Bruno, 2003. "The Diversity of Modern Capitalism," OUP Catalogue, Oxford University Press, number 9780199261147.
    26. Philippe Aghion, 2004. "Growth and Development: A Schumpeterian Approach," Annals of Economics and Finance, Society for AEF, vol. 5(1), pages 1-25, May.
    27. Chari, V V & Kehoe, Patrick J, 1990. "Sustainable Plans," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 783-802, August.
    28. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63, pages 309-309.
    29. Paul Klein & Per Krusell & José-Víctor Ríos-Rull, 2008. "Time-Consistent Public Policy," Review of Economic Studies, Oxford University Press, vol. 75(3), pages 789-808.
    30. Lionel W. McKenzie, 2012. "turnpike theory," The New Palgrave Dictionary of Economics, Palgrave Macmillan.
    31. Pierre Yared, 2010. "Politicians, Taxes and Debt," Review of Economic Studies, Oxford University Press, vol. 77(2), pages 806-840.
    32. Zheng Song & Kjetil Storesletten & Fabrizio Zilibotti, 2011. "Growing Like China," American Economic Review, American Economic Association, vol. 101(1), pages 196-233, February.
    33. Robert C. Merton, 1975. "An Asymptotic Theory of Growth Under Uncertainty," Review of Economic Studies, Oxford University Press, vol. 42(3), pages 375-393.
    34. 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.
    35. Lancaster, Kelvin, 1973. "The Dynamic Inefficiency of Capitalism," Journal of Political Economy, University of Chicago Press, vol. 81(5), pages 1092-1109, Sept.-Oct.
    36. Chamley, Christophe, 1986. "Optimal Taxation of Capital Income in General Equilibrium with Infinite Lives," Econometrica, Econometric Society, vol. 54(3), pages 607-622, May.
    37. Darong Dai, 2012. "Stochastic Versions of Turnpike Theorems in the Sense of Uniform Topology," Annals of Economics and Finance, Society for AEF, vol. 13(2), pages 381-423, November.
    38. Fischer, Stanley, 1980. "Dynamic inconsistency, cooperation and the benevolent dissembling government," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 93-107, May.
    39. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-491, June.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Economic maturity; Minimum-time objective; Political economy; Sequential equilibrium; Cooperative stochastic differential game;

    JEL classification:

    • O11 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Macroeconomic Analyses of Economic Development
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General

    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:pra:mprapa:44339. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joachim Winter) or (Rebekah McClure). General contact details of provider: http://edirc.repec.org/data/vfmunde.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.