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Dynamic Stackelberg Game with Risk-Averse Players: Optimal Risk-Sharing under Asymmetric Information

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  • Dan Protopopescu

Abstract

The objective of this paper is to clarify the interactive nature of the leader-follower relationship when both players are endogenously risk-averse. The analysis is placed in the context of a dynamic closed-loop Stackelberg game with private information. The case of a risk-neutral leader, very often discussed in the literature, is only a borderline possibility in the present study. Each player in the game is characterized by a risk-averse type which is unknown to his opponent. The goal of the leader is to implement an optimal incentive compatible risk-sharing contract. The proposed approach provides a qualitative analysis of adaptive risk behavior profiles for asymmetrically informed players in the context of dynamic strategic interactions modelled as incentive Stackelberg games.

Suggested Citation

  • Dan Protopopescu, 2009. "Dynamic Stackelberg Game with Risk-Averse Players: Optimal Risk-Sharing under Asymmetric Information," UFAE and IAE Working Papers 797.09, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    • Handle: RePEc:aub:autbar:797.09
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    1. JunJie Wu & Mark L. Teague & Harry P. Mapp & Daniel J. Bernardo, 1995. "An Empirical Analysis of the Relative Efficiency of Policy Instruments to Reduce Nitrate Water Pollution in the U.S. Southern High Plains," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 43(3), pages 403-420, November.
    2. Jehiel, Philippe & Moldovanu, Benny, 1995. "Negative Externalities May Cause Delay in Negotiation," Econometrica, Econometric Society, vol. 63(6), pages 1321-1335, November.
    3. James Shortle & David Abler & Richard Horan, 1998. "Research Issues in Nonpoint Pollution Control," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 11(3), pages 571-585, April.
    4. Jean-Jacques Laffont & Jean Tirole, 1993. "A Theory of Incentives in Procurement and Regulation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262121743, December.
    5. Evans, Robert & Thomas, Jonathan P, 2001. "Cooperation and Punishment," Econometrica, Econometric Society, vol. 69(4), pages 1061-1075, July.
    6. Kydland, Finn, 1975. "Noncooperative and Dominant Player Solutions in Discrete Dynamic Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(2), pages 321-335, June.
    7. Bystrom, Olof & Bromley, Daniel W., 1998. "Contracting For Nonpoint-Source Pollution Abatement," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 23(1), pages 1-19, July.
    8. Xepapadeas, A. P., 1991. "Environmental policy under imperfect information: Incentives and moral hazard," Journal of Environmental Economics and Management, Elsevier, vol. 20(2), pages 113-126, March.
    9. Miller, Marcus & Salmon, Mark, 1985. "Dynamic Games and the Time Inconsistency of Optimal Policy in Open Economies," Economic Journal, Royal Economic Society, vol. 95(380a), pages 124-137, Supplemen.
    10. Zadrozny, Peter, 1988. "A consistent, closed-loop solution for infinite-horizon, linear-quadratic, dynamic Stackelberg games," Journal of Economic Dynamics and Control, Elsevier, vol. 12(1), pages 155-159, March.
    11. Pindyck, Robert S., 2002. "Optimal timing problems in environmental economics," Journal of Economic Dynamics and Control, Elsevier, vol. 26(9-10), pages 1677-1697, August.
    12. Ambler, Steve & Paquet, Alain, 1997. "Recursive methods for computing equilibria of general equilibrium dynamic Stackelberg games," Economic Modelling, Elsevier, vol. 14(2), pages 155-173, April.
    13. Sandblom, Carl-Louis & Banasik, John, 1985. "Economic policy with bounded controls," Economic Modelling, Elsevier, vol. 2(2), pages 135-148, April.
    14. Segerson, Kathleen, 1988. "Uncertainty and incentives for nonpoint pollution control," Journal of Environmental Economics and Management, Elsevier, vol. 15(1), pages 87-98, March.
    15. Xepapadeas, A. P., 1992. "Environmental policy design and dynamic nonpoint-source pollution," Journal of Environmental Economics and Management, Elsevier, vol. 23(1), pages 22-39, July.
    16. Kydland, Finn, 1977. "Equilibrium solutions in dynamic dominant-player models," Journal of Economic Theory, Elsevier, vol. 15(2), pages 307-324, August.
    17. Breton, Michele & Sokri, Abderrahmane & Zaccour, Georges, 2008. "Incentive equilibrium in an overlapping-generations environmental game," European Journal of Operational Research, Elsevier, vol. 185(2), pages 687-699, March.
    18. Vroman, Susan B, 1989. "Inflation Uncertainty and Contract Duration," The Review of Economics and Statistics, MIT Press, vol. 71(4), pages 677-681, November.
    19. Cabe, Richard & Herriges, Joseph A., 1992. "The regulation of non-point-source pollution under imperfect and asymmetric information," Journal of Environmental Economics and Management, Elsevier, vol. 22(2), pages 134-146, March.
    20. James S. Shortle & James W. Dunn, 1986. "The Relative Efficiency of Agricultural Source Water Pollution Control Policies," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 68(3), pages 668-677.
    21. Daniel Cohen & Philippe Michel, 1988. "How Should Control Theory Be Used to Calculate a Time-Consistent Government Policy?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(2), pages 263-274.
    22. 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.
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    More about this item

    Keywords

    Dynamic stochastic Stackelberg game; optimal path; closed-loop control; endogenous risk-aversion; adaptive risk management; optimal risk-sharing.;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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