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The envelope theorem for locally differentiable Nash equilibria of finite horizon differential games

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  • Caputo, Michael R.

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  • Caputo, Michael R., 2007. "The envelope theorem for locally differentiable Nash equilibria of finite horizon differential games," Games and Economic Behavior, Elsevier, vol. 61(2), pages 198-224, November.
  • Handle: RePEc:eee:gamebe:v:61:y:2007:i:2:p:198-224
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    1. Seierstad, Atle, 1982. "Differentiability properties of the optimal value function in control theory," Journal of Economic Dynamics and Control, Elsevier, vol. 4(1), pages 303-310, November.
    2. A. Michael Spence, 1979. "Investment Strategy and Growth in a New Market," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 1-19, Spring.
    3. Benchekroun, Hassan & Gaudet, Gerard, 2003. "On the profitability of production perturbations in a dynamic natural resource oligopoly," Journal of Economic Dynamics and Control, Elsevier, vol. 27(7), pages 1237-1252, May.
    4. Mohr, Ernst U, 1988. "Appropriation of Common Access Natural Resources through Exploration: The Relevance of the Open-Loop Concept," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(2), pages 307-319, May.
    5. Reinganum, Jennifer F, 1982. "A Dynamic Game of R and D: Patent Protection and Competitive Behavior," Econometrica, Econometric Society, vol. 50(3), pages 671-688, May.
    6. 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.
    7. Margaret E. Slade, 1995. "Empirical Games: The Oligopoly Case," Canadian Journal of Economics, Canadian Economics Association, vol. 28(2), pages 368-402, May.
    8. Caputo, Michael R. & Wilen, James E., 1995. "Optimality conditions and comparative statics for horizon and endpoint choices in optimal control theory," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 351-369.
    9. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, April.
    10. Caputo, Michael R., 1992. "Fundamental symmetries and qualitative properties in the adjustment cost model of the firm," Journal of Mathematical Economics, Elsevier, vol. 21(2), pages 99-112.
    11. Caputo, Michael R., 1996. "The Envelope Theorem and Comparative Statics of Nash Equilibria," Games and Economic Behavior, Elsevier, vol. 13(2), pages 201-224, April.
    12. Oniki, Hajime, 1973. "Comparative dynamics (sensitivity analysis) in optimal control theory," Journal of Economic Theory, Elsevier, vol. 6(3), pages 265-283, June.
    13. Hadley, G. & Kemp, M. C., 1971. "Variational Methods in Economics," Elsevier Monographs, Elsevier, edition 1, number 9780720436013 edited by Bliss, C. J..
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    Cited by:

    1. Lambertini, Luca & Palestini, Arsen, 2014. "On the feedback solutions of differential oligopoly games with hyperbolic demand curve and capacity accumulation," European Journal of Operational Research, Elsevier, vol. 236(1), pages 272-281.
    2. Engwerda, J.C., 2012. "Open-Loop Nash Equilibria in the Non-cooperative Infinite-planning Horizon LQ Game," Discussion Paper 2012-052, Tilburg University, Center for Economic Research.
    3. Avagyan, Vardan & Esteban-Bravo, Mercedes & Vidal-Sanz, Jose M., 2014. "Licensing radical product innovations to speed up the diffusion," European Journal of Operational Research, Elsevier, vol. 239(2), pages 542-555.
    4. Engwerda, Jacob & van Aarle, Bas & Plasmans, Joseph & Weeren, Arie, 2013. "Debt stabilization games in the presence of risk premia," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2525-2546.
    5. L. Lambertini, 2009. "Oligopoly with Hyperbolic Demand and Capital Accumulation," Working Papers 672, Dipartimento Scienze Economiche, Universita' di Bologna.
    6. L. Lambertini, 2007. "Volatility forecasting for crude oil futures," Working Papers 598, Dipartimento Scienze Economiche, Universita' di Bologna.
    7. repec:spr:joptap:v:145:y:2010:i:1:d:10.1007_s10957-009-9627-z is not listed on IDEAS
    8. Chen Ling & Michael Caputo, 2012. "The Envelope Theorem for Locally Differentiable Nash Equilibria of Discounted and Autonomous Infinite Horizon Differential Games," Dynamic Games and Applications, Springer, vol. 2(3), pages 313-334, September.
    9. Van Gorder, Robert A. & Caputo, Michael R., 2010. "Envelope theorems for locally differentiable open-loop Stackelberg equilibria of finite horizon differential games," Journal of Economic Dynamics and Control, Elsevier, vol. 34(6), pages 1123-1139, June.
    10. L. Lambertini, 2010. "On the Feedback Solution of a Differential Oligopoly Game with Hyperbolic Demand and Capacity Accumulation," Working Papers 692, Dipartimento Scienze Economiche, Universita' di Bologna.
    11. repec:spr:joptap:v:138:y:2008:i:1:d:10.1007_s10957-008-9432-0 is not listed on IDEAS

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