Intrinsic Comparative Dynamics of Locally Differentiable Feedback Stackelberg Equilibria
The intrinsic comparative dynamics of locally differentiable feedback Stackelberg equilibria are derived for the ubiquitous class of autonomous and exponentially discounted infinite horizon differential games. It is shown that the follower’s intrinsic comparative dynamics agree in their form and qualitative properties with those of every player in a feedback Nash equilibrium, while those of the leader differ in form. The difference allows, in principle, an empirical test of the leader-follower role in a differential game. Separability conditions are identified on the instantaneous payoff and transition functions under which the intrinsic comparative dynamics of feedback Nash equilibria, feedback Stackelberg equilibria, and those in the corresponding optimal control problem are qualitatively identical. Copyright Springer Science+Business Media New York 2015
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Volume (Year): 5 (2015)
Issue (Month): 1 (March)
|Contact details of provider:|| Web page: http://www.springer.com|
|Order Information:||Web: http://www.springer.com/economics/journal/13235|
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Wirl, Franz, 2012. "Global warming: Prices versus quantities from a strategic point of view," Journal of Environmental Economics and Management, Elsevier, vol. 64(2), pages 217-229.
- 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.
- Santiago J. Rubio & Luisa Escriche, 1998. "- Strategic Pigouvian Taxation, Stock Externalities And Polluting Non-Renewable Resources," Working Papers. Serie EC 1998-23, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- 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.
- Kenji Fujiwara & Ngo Long, 2011. "Welfare Implications of Leadership in a Resource Market under Bilateral Monopoly," Dynamic Games and Applications, Springer, vol. 1(4), pages 479-497, December.
- Kenji Fujiwara & Ngo Van Long, 2010. "Welfare Implications of Leadership in a Resource Market Under Bilateral Monopoly," CIRANO Working Papers 2010s-16, CIRANO.
- Kenji Fujiwara & Ngo Van Long, 2011. "Welfare Implications of Leadership in a Resource Market under Bilateral Monopoly," Discussion Paper Series 76, School of Economics, Kwansei Gakuin University, revised Sep 2011.
- Caputo, Michael R. & Ling, Chen, 2013. "The intrinsic comparative dynamics of locally differentiable feedback Nash equilibria of autonomous and exponentially discounted infinite horizon differential games," Journal of Economic Dynamics and Control, Elsevier, vol. 37(10), pages 1982-1994.
- Micahel Caputo & Chen Ling, 2012. "The Intrinsic Comparative Dynamics of Locally Differentiable Feedback Nash Equilibria of Autonomous and Exponentially Discounted Infinite Horizon Differential Games," Working Papers 2012-03, University of Central Florida, Department of Economics.
- Caputo, Michael R., 2003. "The comparative dynamics of closed-loop controls for discounted infinite horizon optimal control problems," Journal of Economic Dynamics and Control, Elsevier, vol. 27(8), pages 1335-1365, June.
- 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.
- M. Hossein Partovi & Michael R. Caputo, 2006. "A Complete Theory Of Comparative Statics For Differentiable Optimization Problems," Metroeconomica, Wiley Blackwell, vol. 57(1), pages 31-67, February.
- Tahvonen, Olli, 1996. "Trade with Polluting Nonrenewable Resources," Journal of Environmental Economics and Management, Elsevier, vol. 30(1), pages 1-17, January.
- Nawel Amrouche & Guiomar Martín-Herrán & Georges Zaccour, 2008. "Feedback Stackelberg equilibrium strategies when the private label competes with the national brand," Annals of Operations Research, Springer, vol. 164(1), pages 79-95, November.
- Ngo Long, 2011. "Dynamic Games in the Economics of Natural Resources: A Survey," Dynamic Games and Applications, Springer, vol. 1(1), pages 115-148, March.
- Xie, Jinxing & Ai, Song, 2006. "A note on "Cooperative advertising, game theory and manufacturer-retailer supply chains"," Omega, Elsevier, vol. 34(5), pages 501-504, October.
- 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, December.
- Caputo, Michael R., 1998. "A dual vista of the Stackelberg duopoly reveals its fundamental qualitative structure," International Journal of Industrial Organization, Elsevier, vol. 16(3), pages 333-352, May.
- 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.
- Michèle Breton & Ramla Jarrar & Georges Zaccour, 2006. "A Note on Feedback Sequential Equilibria in a Lanchester Model with Empirical Application," Management Science, INFORMS, vol. 52(5), pages 804-811, May. Full references (including those not matched with items on IDEAS)
When requesting a correction, please mention this item's handle: RePEc:spr:dyngam:v:5:y:2015:i:1:p:1-25. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sonal Shukla)or (Rebekah McClure)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.