IDEAS home Printed from https://ideas.repec.org/p/exe/wpaper/9514.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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.

Suggested Citation

  • Jensen, H. & Lockwood, B., 1995. "A Note on Discontinuous Value Functions and Strategies in Affine-Quadratic Differential Games," Discussion Papers 9514, University of Exeter, Department of Economics.
    • Handle: RePEc:exe:wpaper:9514
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below 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.

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. AMIR, Rabah, 2001. "Stochastic games in economics and related fields: an overview," LIDAM Discussion Papers CORE 2001060, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. 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.
    5. Lockwood, Ben & Miller, Marcus & Zhang, Lei, 1998. "Designing Monetary Policy When Unemployment Persists," Economica, London School of Economics and Political Science, vol. 65(259), pages 327-345, August.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Cukierman, Alex & Lippi, Francesco, 2001. "Labour Markets and Monetary Union: A Strategic Analysis," Economic Journal, Royal Economic Society, vol. 111(473), pages 541-565, July.
    2. Winkler, Bernhard, 2000. "Which kind of transparency? On the need for clarity in monetary policy-making," Working Paper Series 0026, European Central Bank.
    3. Bill Dupor, 2005. "Keynesian Conundrum: Multiplicity and Time Consistent Stabilization," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(1), pages 154-177, January.
    4. Cukierman, Alex & Spiegel, Yossi & Leiderman, Leonardo, 2004. "The choice of exchange rate bands: balancing credibility and flexibility," Journal of International Economics, Elsevier, vol. 62(2), pages 379-408, March.
    5. Christian Hellwig, 2004. "Heterogeneous Information and the Benefits of Public Information Disclosures (October 2005)," UCLA Economics Online Papers 283, UCLA Department of Economics.
    6. repec:zbw:bofitp:1999_009 is not listed on IDEAS
    7. Svensson, Lars E. O., 1997. "Inflation forecast targeting: Implementing and monitoring inflation targets," European Economic Review, Elsevier, vol. 41(6), pages 1111-1146, June.
    8. Paul Levine & Alex Mandilaras & Jun Wang, 2008. "Public Debt Maturity And Currency Crises," Scottish Journal of Political Economy, Scottish Economic Society, vol. 55(1), pages 79-106, February.
    9. Alex Cukierman & Anton Muscatelli, 2001. "Do Central Banks have Precautionary Demands for Expansions and for Price Stability?," Working Papers 2002_4, Business School - Economics, University of Glasgow, revised Mar 2002.
    10. M.A. Akhtar, 1995. "Monetary policy goals and central bank independence," Banca Nazionale del Lavoro Quarterly Review, Banca Nazionale del Lavoro, vol. 48(195), pages 423-439.
    11. Philip R. Lane, 1999. "What Determines the Nominal Exchange Rate? Some Cross Sectional Evidence," Canadian Journal of Economics, Canadian Economics Association, vol. 32(1), pages 118-138, February.
    12. Adam, Klaus & Billi, Roberto M., 2014. "Distortionary fiscal policy and monetary policy goals," Economics Letters, Elsevier, vol. 122(1), pages 1-6.
    13. repec:hal:wpspec:info:hdl:2441/2942 is not listed on IDEAS
    14. repec:hal:wpspec:info:hdl:2441/2525 is not listed on IDEAS
    15. Mazumder, Sandeep, 2014. "Determinants of the sacrifice ratio: Evidence from OECD and non-OECD countries," Economic Modelling, Elsevier, vol. 40(C), pages 117-135.
    16. Josh Ryan-Collins, 2015. "Is Monetary Financing Inflationary? A Case Study of the Canadian Economy, 1935-75," Economics Working Paper Archive wp_848, Levy Economics Institute.
    17. Zeynel Abidin Ozdemir, 2010. "Dynamics Of Inflation, Output Growth And Their Uncertainty In The Uk: An Empirical Analysis," Manchester School, University of Manchester, vol. 78(6), pages 511-537, December.
    18. Eijffinger, S.C.W. & Schaling, E., 1995. "Optimal commitment in an open economy : Credibility vs. flexibility," Discussion Paper 1995-79, Tilburg University, Center for Economic Research.
    19. Corinne Aaron-Cureau & Hubert Kempf, 2006. "Bargaining over monetary policy in a monetary union and the case for appointing an independent central banker," Oxford Economic Papers, Oxford University Press, vol. 58(1), pages 1-27, January.
    20. Martin, Fernando M., 2015. "Debt, inflation and central bank independence," European Economic Review, Elsevier, vol. 79(C), pages 129-150.
    21. Kenneth N. Kuttner & Adam S. Posen, 2010. "Do Markets Care Who Chairs the Central Bank?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(2‐3), pages 347-371, March.
    22. Jean Barthélemy & Eric Mengus, 2017. "Credibility and Monetary Policy," Working Papers hal-03457527, HAL.
    23. Ireland, Peter N., 1999. "Does the time-consistency problem explain the behavior of inflation in the United States?," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 279-291, October.

    More about this item

    Keywords

    GAME THEORY;

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:exe:wpaper:9514. See general information about how to correct material in RePEc.

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sebastian Kripfganz (email available below). General contact details of provider: https://edirc.repec.org/data/deexeuk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.