Time Consistent Pareto Solutions in Common Access Resource Games with Asymmetric Players
In the analysis of equilibrium policies in a di erential game, if agents have different time preference rates, the cooperative (Pareto optimum) solution obtained by applying the Pontryagin's Maximum Principle becomes time inconsistent. In this work we derive a set of dynamic programming equations (in discrete and continuous time) whose solutions are time consistent equilibrium rules for N-player cooperative di erential games in which agents di er in their instantaneous utility functions and also in their discount rates of time preference. The results are applied to the study of a cake-eating problem describing the management of a common property exhaustible natural resource. The extension of the results to a simple common property renewable natural resource model in in nite horizon is also discussed.
|Date of creation:||2011|
|Date of revision:|
|Contact details of provider:|| Postal: Espai de Recerca en Economia, Facultat de CiÃ¨ncies EconÃ²miques. Tinent Coronel Valenzuela, Num 1-11 08034 Barcelona. Spain.|
Phone: +34 93 402 43 13cazza
Web page: http://www.ere.ub.es
More information through EDIRC
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.:
- de Zeeuw, Aart, 2008.
"Dynamic effects on the stability of international environmental agreements,"
Journal of Environmental Economics and Management,
Elsevier, vol. 55(2), pages 163-174, March.
- Aart de Zeeuw, 2005. "Dynamic Effects on the Stability of International Environmental Agreements," Working Papers 2005.41, Fondazione Eni Enrico Mattei.
- Marín-Solano, Jesús & Navas, Jorge, 2009.
"Non-constant discounting in finite horizon: The free terminal time case,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 33(3), pages 666-675, March.
- Jesus Marin Solano & Jorge Navas Rodenes, 2007. "Non-constant discounting in finite horizon: The free terminal time case," Working Papers in Economics 183, Universitat de Barcelona. Espai de Recerca en Economia.
When requesting a correction, please mention this item's handle: RePEc:bar:bedcje:2011253. 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: (Espai de Recerca en Economia)
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.