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Continuous stochastic games of capital accumulation with convex transitions


  • AMIR, R.


\Ve consider a discounter stochastic game of common-property capital accumulation with nonsymetric players. bounded Due-period extraction capacities, and a transition law satisfying a general strong convexity condition. We show that the infinite-horizon problem has a Markov-stationary (subgame-perfect) equilibrium and that every finite horizon transaction has a unique Markovian equilibrium, hoth in consumption functions which are continuous, non decreasing and have all slopes bounded above by 1. Unlike previous results in strategic dynamic models, these properties are reminiscent of the corresponding optimal growth model.
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  • Amir, R., 1996. "Continuous stochastic games of capital accumulation with convex transitions," CORE Discussion Papers RP 1227, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvrp:1227 Note: In : Games and Economic Behavior, 15, 111-131, 1996

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    References listed on IDEAS

    1. Boadway, Robin & Marchand, Maurice, 1995. "The Use of Public Expenditures for Redistributive Purposes," Oxford Economic Papers, Oxford University Press, vol. 47(1), pages 45-59, January.
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    4. Robin Boadway & Nicolas Marceau & Maurice Marchand, 1996. "Issues in decentralizing the provision of education," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 3(3), pages 311-327, July.
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    6. Boadway, R. & Marchand, M., 1990. "The use of public expenditures for distributive purposes," CORE Discussion Papers 1990066, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Besley, Timothy & Coate, Stephen, 1991. "Public Provision of Private Goods and the Redistribution of Income," American Economic Review, American Economic Association, vol. 81(4), pages 979-984, September.
    8. David Card, 1993. "Using Geographic Variation in College Proximity to Estimate the Return to Schooling," Working Papers 696, Princeton University, Department of Economics, Industrial Relations Section..
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    11. Blomquist, Suren & Christiansen, Vidar, 1995. " Public Provision of Private Goods as a Redistributive Device in an Optimum Income Tax Model," Scandinavian Journal of Economics, Wiley Blackwell, vol. 97(4), pages 547-567, December.
    12. Epple, Dennis & Romano, Richard E, 1998. "Competition between Private and Public Schools, Vouchers, and Peer-Group Effects," American Economic Review, American Economic Association, vol. 88(1), pages 33-62, March.
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    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General


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