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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. Chang,Fwu-Ranq, 2009. "Stochastic Optimization in Continuous Time," Cambridge Books, Cambridge University Press, number 9780521541947, September.
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    Cited by:

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