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A stochastic differential game of capitalism

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  • Leong, Chee Kian
  • Huang, Weihong

Abstract

We develop a stochastic differential game of capitalism to analyze the role of uncertainty. In the deterministic game, the firm's rent is completely taxed away and the firm stops investing completely. In the stochastic game, the government does not tax the firm's rent completely. The firm posts a positive rate of investment if the firm's rent exceeds the labor's income. Although the cooperative solution is indeterminate, cooperation is always Pareto optimal compared to the non-cooperative Markovian Nash equilibrium. For individual rationality, we apply a payoff distribution procedure based on Yeung and Petrosyan (2006) to derive a subgame-consistent solution.

Suggested Citation

  • Leong, Chee Kian & Huang, Weihong, 2010. "A stochastic differential game of capitalism," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 552-561, July.
  • Handle: RePEc:eee:mateco:v:46:y:2010:i:4:p:552-561
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    References listed on IDEAS

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    1. 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..
    2. Chang,Fwu-Ranq, 2009. "Stochastic Optimization in Continuous Time," Cambridge Books, Cambridge University Press, number 9780521541947, December.
    3. Robert C. Merton, 1975. "An Asymptotic Theory of Growth Under Uncertainty," Review of Economic Studies, Oxford University Press, vol. 42(3), pages 375-393.
    4. 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.
    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. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, December.
    7. Shimomura, Koji, 1991. "The feedback equilibria of a differential game of capitalism," Journal of Economic Dynamics and Control, Elsevier, vol. 15(2), pages 317-338, April.
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    Cited by:

    1. Dai, Darong, 2013. "Cooperative economic growth," Economic Modelling, Elsevier, vol. 33(C), pages 407-415.
    2. 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.

    More about this item

    Keywords

    Capitalism Differential games;

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