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Recursive Methods for Computing Equilibria of General Equilibrium Dynamic Stackelberg Games

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Abstract

We extend the Hansen and Prescott (1991) method for the numerical computation of equilibria of dynamic business cycle models in which there are two sets of agents who play a dynamic Stackelberg game. Such models have application to analysis of issues of optimal government policy in which the government plays the role of Stackelberg leader and a representative private agent is the follower. We show how to derive time-consistent policy rules for the Stackelberg leader, and we consider an application of the methodology to the determination of optimal government spending in perfectly competitive growth model. Nous généralisons la méthode Hansen et Prescott (1991) pour calculer numériquement l'équilibre de modèles du cycle économique, au cas où deux groupes d'agents interagissent dans un jeu de Stackelberg dynamique. Cette généralisation trouve application dans l'analyse de politiques optimales lorsque e gouvernement est le leader et l'agent privé représentatif est le suiveur. Nous montrons comment dériver des règles de rétroaction de politique économique qui sont intertemporellement cohérentes et nous appliquons la méthodologie à la détermination du niveau optimal de dépenses publiques de consommation dans un modèle de croissance néo- classique.

Suggested Citation

  • Steve Ambler & Alain Paquet, 1994. "Recursive Methods for Computing Equilibria of General Equilibrium Dynamic Stackelberg Games," Cahiers de recherche CREFE / CREFE Working Papers 25, CREFE, Université du Québec à Montréal.
    • Handle: RePEc:cre:crefwp:25
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    Cited by:

    1. Nie, Pu-yan & Chen, Li-hua & Fukushima, Masao, 2006. "Dynamic programming approach to discrete time dynamic feedback Stackelberg games with independent and dependent followers," European Journal of Operational Research, Elsevier, vol. 169(1), pages 310-328, February.
    2. 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).
    3. Hafezi, Maryam & Zhao, Xuan & Zolfagharinia, Hossein, 2023. "Together we stand? Co-opetition for the development of green products," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1417-1438.
    4. Ambler, Steve & Paquet, Alain, 1996. "Fiscal spending shocks, endogenous government spending, and real business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 237-256.
    5. Rodrigo Suescún M., 2000. "Optimical Commodity Price Stabilizador Over the Business Cycle," Borradores de Economia 154, Banco de la Republica de Colombia.
    6. Ambler, Steve & Bouakez, Hafedh & Cardia, Emanuela, 2017. "Does the crowding-in effect of public spending on private consumption undermine neoclassical models?," Research in Economics, Elsevier, vol. 71(3), pages 399-410.
    7. Ambler, Steve & Cardia, Emanuela & Farazli, Jeannine, 1999. "Export promotion, learning by doing and growth," Journal of Economic Dynamics and Control, Elsevier, vol. 23(5-6), pages 747-772, April.
    8. Marius Jurgilas, 2007. "Monetary Policy Under a Currency Board," Working papers 2007-34, University of Connecticut, Department of Economics.
    9. Richard Dennis, 2013. "Asset Prices, Business Cycles, and Markov-Perfect Fiscal Policy when Agents are Risk-Sensitive," CAMA Working Papers 2013-69, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    10. Lu, Jye-Chyi & Tsao, Yu-Chung & Charoensiriwath, Chayakrit, 2011. "Competition under manufacturer service and retail price," Economic Modelling, Elsevier, vol. 28(3), pages 1256-1264, May.
    11. Ambler, Steve & Pelgrin, Florian, 2010. "Time-consistent control in nonlinear models," Journal of Economic Dynamics and Control, Elsevier, vol. 34(10), pages 2215-2228, October.
    12. Steve Ambler, 1999. "Les modèles à agent représentatif et la politique de taxation optimale," L'Actualité Economique, Société Canadienne de Science Economique, vol. 75(4), pages 539-557.

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    Keywords

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    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy; Modern Monetary Theory

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