IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v106y2000i2d10.1023_a1004663800322.html
   My bibliography  Save this article

Markov Perfect Equilibrium Existence for a Class of Undiscounted Infinite-Horizon Dynamic Games

Author

Listed:
  • A. Garcia

    (The Brattle Group)

  • R. L. Smith

    (University of Michigan)

Abstract

We prove the existence of Markov perfect equilibria (MPE) for nonstationary undiscounted infinite-horizon dynamic games with alternating moves. A suitable finite-horizon equilibrium relaxation, the ending state constrained MPE, captures the relevant features of an infinite-horizon MPE for a long enough horizon, under a uniformly bounded reachability assumption.

Suggested Citation

  • A. Garcia & R. L. Smith, 2000. "Markov Perfect Equilibrium Existence for a Class of Undiscounted Infinite-Horizon Dynamic Games," Journal of Optimization Theory and Applications, Springer, vol. 106(2), pages 421-429, August.
    • Handle: RePEc:spr:joptap:v:106:y:2000:i:2:d:10.1023_a:1004663800322
    DOI: 10.1023/A:1004663800322
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1023/A:1004663800322
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1023/A:1004663800322?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Engwerda, Jacob C., 1998. "On the open-loop Nash equilibrium in LQ-games," Journal of Economic Dynamics and Control, Elsevier, vol. 22(5), pages 729-762, May.
    2. Drew Fudenberg & David Levine, 2008. "Limit Games and Limit Equilibria," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 2, pages 21-39, World Scientific Publishing Co. Pte. Ltd..
    3. Irwin E. Schochetman & Robert L. Smith, 1998. "Existence and Discovery of Average Optimal Solutions in Deterministic Infinite Horizon Optimization," Mathematics of Operations Research, INFORMS, vol. 23(2), pages 416-432, May.
    4. Aliprantis, Charalambos D., 1999. "On the backward induction method," Economics Letters, Elsevier, vol. 64(2), pages 125-131, August.
    5. Lau, Sau-Him Paul, 1997. "A note on the Markov perfect equilibrium of a linear-quadratic alternating-move game," Economics Letters, Elsevier, vol. 57(1), pages 51-56, November.
    6. Harris, Christopher J, 1985. "Existence and Characterization of Perfect Equilibrium in Games of Perfect Information," Econometrica, Econometric Society, vol. 53(3), pages 613-628, May.
    7. Maskin, Eric & Tirole, Jean, 1988. "A Theory of Dynamic Oligopoly, II: Price Competition, Kinked Demand Curves, and Edgeworth Cycles," Econometrica, Econometric Society, vol. 56(3), pages 571-599, May.
    8. Maskin, Eric & Tirole, Jean, 1988. "Corrigendum to 'A Theory of Dynamic Oligopoly, III, Cournot Competition' (vol. 31, no. 4)," European Economic Review, Elsevier, vol. 32(7), pages 1567-1568, September.
    Full references (including those not matched with items on IDEAS)

    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. Jayakumar Subramanian & Amit Sinha & Aditya Mahajan, 2023. "Robustness and Sample Complexity of Model-Based MARL for General-Sum Markov Games," Dynamic Games and Applications, Springer, vol. 13(1), pages 56-88, March.
    2. Benjamin Atkinson & Andrew Eckert & Douglas S. West, 2009. "Price Matching And The Domino Effect In A Retail Gasoline Market," Economic Inquiry, Western Economic Association International, vol. 47(3), pages 568-588, July.
    3. Victor Aguirregabiria & Margaret Slade, 2017. "Empirical models of firms and industries," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 50(5), pages 1445-1488, December.
    4. Boone, J., 2004. "Balance of power," Other publications TiSEM dcff47a3-8a29-4ec3-a752-8, Tilburg University, School of Economics and Management.
    5. Zhongmin Wang, 2009. "(Mixed) Strategy in Oligopoly Pricing: Evidence from Gasoline Price Cycles Before and Under a Timing Regulation," Journal of Political Economy, University of Chicago Press, vol. 117(6), pages 987-1030, December.
    6. Song, Yanghoon, 2012. "Assessment of Enforcement Mechanism for Pork Traceability System in Korea Using Mixed Strategy Nash Equilibrium," Journal of Rural Development/Nongchon-Gyeongje, Korea Rural Economic Institute, vol. 35(01), pages 1-16, April.
    7. Mark Dijkstra & Maarten Pieter Schinkel, 2019. "State-aided Price Coordination in the Dutch Mortgage Market," Tinbergen Institute Discussion Papers 19-014/VII, Tinbergen Institute, revised 13 Jul 2019.
    8. Pakes, Ariel, 2017. "Empirical tools and competition analysis: Past progress and current problems," International Journal of Industrial Organization, Elsevier, vol. 53(C), pages 241-266.
    9. Takashi Kamihigashi & Taiji Furusawa, 2006. "Immediately Reactive Equilibria in Infinitely Repeated Games with Additively Separable Continuous Payoffs," Discussion Paper Series 199, Research Institute for Economics & Business Administration, Kobe University.
    10. Boone, J., 2003. "'Be nice, unless it pays to fight' : A new theory of price determination with implications for competition policy," Other publications TiSEM 7066cb71-3c22-4565-8c71-5, Tilburg University, School of Economics and Management.
    11. Guilherme Carmona, 2005. "On Games Of Perfect Information: Equilibria, Ε–Equilibria And Approximation By Simple Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 7(04), pages 491-499.
    12. Tigran Melkonyan & Surajeet Chakravarty, 2024. "Pre‐play promises, threats and commitments under partial credibility," Economic Inquiry, Western Economic Association International, vol. 62(1), pages 308-328, January.
    13. Chakrabarti, S. K., 1999. "Finite and infinite action dynamic games with imperfect information1," Journal of Mathematical Economics, Elsevier, vol. 32(2), pages 243-266, October.
    14. Boone, J., 2002. "'Be Nice Unless it Pays to Fight' : A New Theory of Price Determination with Implications for Competition Policy," Other publications TiSEM 739723a0-ffec-49c9-bef8-7, Tilburg University, School of Economics and Management.
    15. Sibdari, Soheil & Pyke, David F., 2014. "Dynamic pricing with uncertain production cost: An alternating-move approach," European Journal of Operational Research, Elsevier, vol. 236(1), pages 218-228.
    16. Guilherme Carmona, 2004. "On Games of Perfect Information: Equilibria, epsilon-Equilibria and Approximation by Simple Games," Game Theory and Information 0402002, University Library of Munich, Germany.
    17. Fullerton, Thomas M. & Jiménez, Alan A. & Walke, Adam G., 2015. "An econometric analysis of retail gasoline prices in a border metropolitan economy," The North American Journal of Economics and Finance, Elsevier, vol. 34(C), pages 450-461.
    18. Wein, Thomas, 2021. "Why abandoning the paradise? Stations incentives to reduce gasoline prices at first," VfS Annual Conference 2021 (Virtual Conference): Climate Economics 242362, Verein für Socialpolitik / German Economic Association.
    19. Lau, Sau-Him Paul, 2001. "Aggregate Pattern of Time-dependent Adjustment Rules, II: Strategic Complementarity and Endogenous Nonsynchronization," Journal of Economic Theory, Elsevier, vol. 98(2), pages 199-231, June.
    20. Benjamin Atkinson, Andrew Eckert, and Douglas S. West, 2014. "Daily Price Cycles and Constant Margins: Recent Events in Canadian Gasoline Retailing," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3).

    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:spr:joptap:v:106:y:2000:i:2:d:10.1023_a:1004663800322. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.