Strategic exploitation of a common-property resource under uncertainty
We construct a game of noncooperative common-resource exploitation which delivers analytical solutions for its symmetric Markov-perfect Nash equilibrium. We examine how introducing uncertainty to the natural law of resource reproduction affects strategic exploitation. We show that the commons problem is always present in our example and we identify cases in which increases in risk amplify or mitigate the commons problem. For a specific class of games which imply Markov-perfect strategies that are linear in the resource stock (our example belongs to this class), we provide general results on how payoff-function features affect the responsiveness of exploitation strategies to changes in riskiness. These broader characterizations of games which imply linear strategies (appearing in an Online Appendix) can be useful in future work, given the technical difficulties that may arise from the possible nonlinearity of Markov-perfect strategies in more general settings.
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- Benhabib, Jess & Rustichini, Aldo, 1994. "A note on a new class of solutions to dynamic programming problems arising in economic growth," Journal of Economic Dynamics and Control, Elsevier, vol. 18(3-4), pages 807-813.
- G. Hanoch & H. Levy, 1969. "The Efficiency Analysis of Choices Involving Risk," Review of Economic Studies, Oxford University Press, vol. 36(3), pages 335-346.
- Gerhard Sorger, 1997.
"Markov-perfect Nash equilibria in a class of resource games,"
Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(1), pages 79-100.
- Gerhard Sorger, 1996. "Markov Perfect Nash Equilibria in a Class of Resource Games," CIRANO Working Papers 96s-15, CIRANO.
- Haim Levy, 1992. "Stochastic Dominance and Expected Utility: Survey and Analysis," Management Science, INFORMS, vol. 38(4), pages 555-593, April.
- AMIR , Rabah, 1995.
"Continuous Stochastic Games of Capital Accumulation with Convex Transition,"
CORE Discussion Papers
1995009, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Amir, Rabah, 1996. "Continuous Stochastic Games of Capital Accumulation with Convex Transitions," Games and Economic Behavior, Elsevier, vol. 15(2), pages 111-131, August.
- Amir, R., . "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).
- Chang, Fwu-Ranq, 1988. "The Inverse Optimal Problem: A Dynamic Programming Approach," Econometrica, Econometric Society, vol. 56(1), pages 147-72, January.
- Dutta, Prajit K & Sundaram, Rangarajan, 1992. "Markovian Equilibrium in a Class of Stochastic Games: Existence Theorems for Discounted and Undiscounted Models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(2), pages 197-214, April.
- Christos Koulovatianos & Leonard J. Mirman, 2005.
"The Effects of Market Structure on Industry Growth: Rivalrous Non-excludable Capital,"
Vienna Economics Papers
0501, University of Vienna, Department of Economics.
- Koulovatianos, Christos & Mirman, Leonard J., 2007. "The effects of market structure on industry growth: Rivalrous non-excludable capital," Journal of Economic Theory, Elsevier, vol. 133(1), pages 199-218, March.
- Dutta Prajit K. & Sundaram Rangarajan K., 1993. "How Different Can Strategic Models Be?," Journal of Economic Theory, Elsevier, vol. 60(1), pages 42-61, June.
- Benhabib, Jess & Radner, Roy, 1992. "The Joint Exploitation of a Productive Asset: A Game-Theoretic Approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(2), pages 155-90, April.
- Dockner, Engelbert J. & Sorger, Gerhard, 1996. "Existence and Properties of Equilibria for a Dynamic Game on Productive Assets," Journal of Economic Theory, Elsevier, vol. 71(1), pages 209-227, October.
- Stachurski, J., 2001.
"Stochastic Optimal Growth with Unbounded Shock,"
Department of Economics - Working Papers Series
777, The University of Melbourne.
- David Levhari & Leonard J. Mirman, 1980. "The Great Fish War: An Example Using a Dynamic Cournot-Nash Solution," Bell Journal of Economics, The RAND Corporation, vol. 11(1), pages 322-334, Spring.
- Sundaram, Rangarajan K., 1989. "Perfect equilibrium in non-randomized strategies in a class of symmetric dynamic games," Journal of Economic Theory, Elsevier, vol. 47(1), pages 153-177, February.
- Levhari, David & Michener, Ron & Mirman, Leonard J, 1981. "Dynamic Programming Models of Fishing: Competition," American Economic Review, American Economic Association, vol. 71(4), pages 649-61, September.
- F. H. Hahn, 1970. "Savings and Uncertainty," Review of Economic Studies, Oxford University Press, vol. 37(1), pages 21-24.
- Nori Tarui & Charles Mason & Stephen Polasky & Greg Ellis, 2007.
"Cooperation in the Commons with Unobservable Actions,"
200711, University of Hawaii at Manoa, Department of Economics.
- Tarui, Nori & Mason, Charles F. & Polasky, Stephen & Ellis, Greg, 2008. "Cooperation in the commons with unobservable actions," Journal of Environmental Economics and Management, Elsevier, vol. 55(1), pages 37-51, January.
- Koji Shimomura & Danyang Xie, 2008. "Advances on Stackelberg open-loop and feedback strategies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(1), pages 115-133.
- Gerhard Sorger, 2005. "A dynamic common property resource problem with amenity value and extraction costs," International Journal of Economic Theory, The International Society for Economic Theory, vol. 1(1), pages 3-19.
- Mirman, Leonard J & Spulber, Daniel F, 1985. "Fishery Regulation with Harvest Uncertainty," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(3), pages 731-46, October.
- J. E. Stiglitz, 1970. "A Consumption-Oriented Theory of the Demand for Financial Assets and the Term Structure of Interest Rates," Review of Economic Studies, Oxford University Press, vol. 37(3), pages 321-351.
- Stephen Polasky & Nori Tarui & Gregory Ellis & Charles Mason, 2006. "Cooperation in the commons," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 71-88, September.
- Mirman, Leonard J, 1971. "Uncertainty and Optimal Consumption Decisions," Econometrica, Econometric Society, vol. 39(1), pages 179-85, January.
- Brock, William A. & Mirman, Leonard J., 1972. "Optimal economic growth and uncertainty: The discounted case," Journal of Economic Theory, Elsevier, vol. 4(3), pages 479-513, June.
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