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A Note on Discontinuous Value Functions and Strategies in Affine-Quadratic Differential Games

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Author Info

  • Jensen, H.
  • Lockwood, B.

Abstract

We 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.

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Bibliographic Info

Paper provided by Exeter University, Department of Economics in its series Discussion Papers with number 9514.

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Length: 8 pages
Date of creation: 1995
Date of revision:
Handle: RePEc:exe:wpaper:9514

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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/
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Keywords: GAME THEORY;

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References

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  1. 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.
  2. 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.
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Cited by:
  1. Gianluigi Vernasca, 2003. "Dynamic Price Competition with Price Adjustment Costs and Product Differentiation," Working Papers 2003.120, Fondazione Eni Enrico Mattei.
  2. 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.
  3. 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.
  4. 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).

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