A Note on Discontinuous Value Functions and Strategies in Affine-Quadratic Differential Games
AbstractWe present an economic example of an affine-quadratic differential game where in Markov-perfect Nash equilibrium, the value function of a player is discontinuous in the model's parameters, implying that the strategy of that player is also discontinuous, even though the data of the game (state equation and pay-offs) are continuous in the parameters. Sufficient conditions ruling out such discontinuities are presented for the general scalar case.
Download InfoTo our knowledge, this item is not available for download. To find whether it is available, there are three options:
1. Check below under "Related research" whether another version of this item is available online.
2. Check on the provider's web page whether it is in fact available.
3. Perform a search for a similarly titled item that would be available.
Bibliographic InfoPaper provided by Exeter University, Department of Economics in its series Discussion Papers with number 9514.
Length: 8 pages
Date of creation: 1995
Date of revision:
Contact details of provider:
Postal: Streatham Court, Rennes Drive, Exeter EX4 4PU
Phone: (01392) 263218
Fax: (01392) 263242
Web page: http://business-school.exeter.ac.uk/about/departments/economics/
More information through EDIRC
Other versions of this item:
- Jensen, Henrik & Lockwood, Ben, 1998. "A note on discontinuous value functions and strategies in affine-quadratic differential games," Economics Letters, Elsevier, vol. 61(3), pages 301-306, December.
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
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.:
- Barro, Robert J & Gordon, David B, 1983.
"A Positive Theory of Monetary Policy in a Natural Rate Model,"
Journal of Political Economy,
University of Chicago Press, vol. 91(4), pages 589-610, August.
- Robert J. Barro & David B. Gordon, 1981. "A Positive Theory of Monetary Policy in a Natural-Rate Model," NBER Working Papers 0807, National Bureau of Economic Research, Inc.
- Lockwood, Ben, 1996. "Uniqueness of Markov-perfect equilibrium in infinite-time affine-quadratic differential games," Journal of Economic Dynamics and Control, Elsevier, vol. 20(5), pages 751-765, May.
- Gianluigi Vernasca, 2003. "Dynamic Price Competition with Price Adjustment Costs and Product Differentiation," Working Papers 2003.120, Fondazione Eni Enrico Mattei.
- Vernasca, Gianluigi, 2003. "Dynamic Price Competition With Price Adjustment Costs And Product Differentiation," The Warwick Economics Research Paper Series (TWERPS) 681, University of Warwick, Department of Economics.
- Thomas Aronsson & Kenneth Backlund & Karl-Gustav Löfgren, 2001. "International Cooperation over Green Taxes: On the Impossibility of Achieving a Probability-One Gain," CESifo Working Paper Series 567, CESifo Group Munich.
- AMIR, Rabah, 2001. "Stochastic games in economics and related fields: an overview," CORE Discussion Papers 2001060, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Carlos Cortinhas).
If references are entirely missing, you can add them using this form.