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On The Coincidence Of The Feedback Nash And Stackelberg Equilibria In Economic Applications Of Differential Games

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Author Info
Santiago J. Rubio () (Universitat de València)

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Abstract

In this paper the scope of the applicability of the Stackelberg equilibrium concept in differential games is investigated. Firstly, it is showed that for a class of differential games with state-interdependence the stationary feedback Nash equilibrium coincides with the stationary feedback Stackelberg equilibrium independently of the player being the leader of the game. Secondly, sufficient conditions for obtaining the coincidence between the two equilibria are defined. A review of different economic models shows that this coincidence is going to occur for a good number of economic applications of differential games. This result appears because of the continuous-time setting in which differential games are defined. In this setting the first movement advantage of the leader may disappears and then both equilibria coincide.

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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-2002-11.pdf
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Publisher Info
Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 2002-11.

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Length: 40 pages
Date of creation: Jul 2002
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Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:2002-11

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Keywords: Differential Games; Stationary Feedback Nash Equilibrium; Stationary Feedback Stackelberg Equilibrium; Coincidence.;

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  1. Tsutsui, Shunichi O., 1996. "Capacity constraints and voluntary output cutback in dynamic Cournot competition," Journal of Economic Dynamics and Control, Elsevier, vol. 20(9-10), pages 1683-1708. [Downloadable!] (restricted)
  2. Simaan, M & Cruz, J B, Jr, 1975. "Formulation of Richardson's Model of Arms Race from a Differential Game Viewpoint," Review of Economic Studies, Blackwell Publishing, vol. 42(1), pages 67-77, January. [Downloadable!] (restricted)
  3. van der Ploeg, F & de Zeeuw, A J, 1990. "Perfect Equilibrium in a Model of Competitive Arms Accumulation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(1), pages 131-46, February. [Downloadable!] (restricted)
  4. Tahvonen, Olli, 1996. "Trade with Polluting Nonrenewable Resources," Journal of Environmental Economics and Management, Elsevier, vol. 30(1), pages 1-17, January. [Downloadable!] (restricted)
  5. Benhabib, Jess & Radner, Roy, 1992. "The Joint Exploitation of a Productive Asset: A Game-Theoretic Approach," Economic Theory, Springer, vol. 2(2), pages 155-90, April.
  6. Zagonari, Fabio, 1998. "International Pollution Problems: Unilateral Initiatives by Environmental Groups in One Country," Journal of Environmental Economics and Management, Elsevier, vol. 36(1), pages 46-69, July. [Downloadable!] (restricted)
  7. Itaya, Jun-ichi & Shimomura, Koji, 2001. "A dynamic conjectural variations model in the private provision of public goods: a differential game approach," Journal of Public Economics, Elsevier, vol. 81(1), pages 153-172, July. [Downloadable!] (restricted)
  8. Dockner, Engelbert & Feichtinger, Gustav & Mehlmann, Alexander, 1989. "Noncooperative solutions for a differential game model of fishery," Journal of Economic Dynamics and Control, Elsevier, vol. 13(1), pages 1-20, January. [Downloadable!] (restricted)
  9. Fershtman, Chaim & Muller, Eitan, 1984. "Capital accumulation games of infinite duration," Journal of Economic Theory, Elsevier, vol. 33(2), pages 322-339, August. [Downloadable!] (restricted)
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  10. Dockner Engelbert J. & Van Long Ngo, 1993. "International Pollution Control: Cooperative versus Noncooperative Strategies," Journal of Environmental Economics and Management, Elsevier, vol. 25(1), pages 13-29, July. [Downloadable!] (restricted)
  11. List, John A. & Mason, Charles F., 2001. "Optimal Institutional Arrangements for Transboundary Pollutants in a Second-Best World: Evidence from a Differential Game with Asymmetric Players," Journal of Environmental Economics and Management, Elsevier, vol. 42(3), pages 277-296, November. [Downloadable!] (restricted)
  12. Reynolds, Stanley S., 1991. "Dynamic oligopoly with capacity adjustment costs," Journal of Economic Dynamics and Control, Elsevier, vol. 15(3), pages 491-514, July. [Downloadable!] (restricted)
  13. Wirl Franz, 1994. "Pigouvian Taxation of Energy for Flow and Stock Externalities and Strategic, Noncompetitive Energy Pricing," Journal of Environmental Economics and Management, Elsevier, vol. 26(1), pages 1-18, January. [Downloadable!] (restricted)
  14. Rubio, Santiago J. & Casino, Begona, 2001. "Competitive versus efficient extraction of a common property resource: The groundwater case," Journal of Economic Dynamics and Control, Elsevier, vol. 25(8), pages 1117-1137, August. [Downloadable!] (restricted)
  15. Rubio, Santiago J. & Escriche, Luisa, 2001. "Strategic pigouvian taxation, stock externalities and polluting non-renewable resources," Journal of Public Economics, Elsevier, vol. 79(2), pages 297-313, February. [Downloadable!] (restricted)
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  16. Wirl, Franz & Dockner, Engelbert, 1995. "Leviathan governments and carbon taxes: Costs and potential benefits," European Economic Review, Elsevier, vol. 39(6), pages 1215-1236, June. [Downloadable!] (restricted)
  17. Tsutsui, Shunichi & Mino, Kazuo, 1990. "Nonlinear strategies in dynamic duopolistic competition with sticky prices," Journal of Economic Theory, Elsevier, vol. 52(1), pages 136-161, October. [Downloadable!] (restricted)
  18. 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. [Downloadable!] (restricted)
  19. Piga, Claudio A. G., 2000. "Competition in a duopoly with sticky price and advertising," International Journal of Industrial Organization, Elsevier, vol. 18(4), pages 595-614, May. [Downloadable!] (restricted)
  20. Fershtman, Chaim & Kamien, Morton I, 1987. "Dynamic Duopolistic Competition with Sticky Prices," Econometrica, Econometric Society, vol. 55(5), pages 1151-64, September. [Downloadable!] (restricted)
  21. Dockner, Engelbert J, 1992. "A Dynamic Theory of Conjectural Variations," Journal of Industrial Economics, Blackwell Publishing, vol. 40(4), pages 377-95, December. [Downloadable!] (restricted)
  22. Driskill, Robert A. & McCafferty, Stephen, 1989. "Dynamic duopoly with adjustment costs: A differential game approach," Journal of Economic Theory, Elsevier, vol. 49(2), pages 324-338, December. [Downloadable!] (restricted)
  23. Van Der Ploeg, F. & De Zeeuw, A.J., 1990. "International Aspects Of Pollution Control," Papers 9065, Tilburg - Center for Economic Research.
  24. Deger, Saadet & Sen, Somnath, 1984. "Optimal control and differential game models of military expenditure in less developed countries," Journal of Economic Dynamics and Control, Elsevier, vol. 7(2), pages 153-169, May. [Downloadable!] (restricted)
  25. 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. [Downloadable!] (restricted)
  26. Franz Wirl, 1995. "The exploitation of fossil fuels under the threat of global warming and carbon taxes: A dynamic game approach," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 5(4), pages 333-352, June. [Downloadable!] (restricted)
  27. Fershtman, Chaim & Nitzan, Shmuel, 1991. "Dynamic voluntary provision of public goods," European Economic Review, Elsevier, vol. 35(5), pages 1057-1067, July. [Downloadable!] (restricted)
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