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

    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. "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.
    8. 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.
    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. 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.
    2. 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.
    3. Do, Jihwan & Miklós-Thal, Jeanine, 2023. "Partial secrecy in vertical contracting," International Journal of Industrial Organization, Elsevier, vol. 90(C).
    4. 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.
    5. V. Bhaskar & George J. Mailathy & Stephen Morris, 2009. "A Foundation for Markov Equilibria in Infinite Horizon Perfect Information Games," Levine's Working Paper Archive 814577000000000178, David K. Levine.
    6. 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.
    7. Pierre Cahuc & Hubert Kempf, 1997. "Emploi et négociations salariales dans une union monétaire ouverte," Économie et Prévision, Programme National Persée, vol. 128(2), pages 101-114.
    8. Leufkens, Kasper & Peeters, Ronald, 2008. "Intertemporal price competition with exogenous demand shocks," Economics Letters, Elsevier, vol. 99(2), pages 301-303, May.
    9. Vives, Xavier & Jun, Byoung, 2001. "Incentives in Dynamic Duopoly," CEPR Discussion Papers 2899, C.E.P.R. Discussion Papers.
    10. 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.
    11. Chen, Yongmin & Rosenthal, Robert W., 1996. "Dynamic duopoly with slowly changing customer loyalties," International Journal of Industrial Organization, Elsevier, vol. 14(3), pages 269-296, May.
    12. Ding, Zhanwen & Wang, Qiao & Cai, Chaoying & Jiang, Shumin, 2014. "Fictitious play with incomplete learning," Mathematical Social Sciences, Elsevier, vol. 67(C), pages 1-8.
    13. Boone, J., 2004. "Balance of power," Other publications TiSEM dcff47a3-8a29-4ec3-a752-8, Tilburg University, School of Economics and Management.
    14. Mika Kato, 2016. "Jean Tirole, Nobel Prize Winner," Review of Political Economy, Taylor & Francis Journals, vol. 28(1), pages 23-44, January.
    15. 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.
    16. Ulrich Doraszelski & Mark Satterthwaite, 2010. "Computable Markov‐perfect industry dynamics," RAND Journal of Economics, RAND Corporation, vol. 41(2), pages 215-243, June.
    17. 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.
    18. Aguirregabiria, Victor & Nevo, Aviv, 2010. "Recent developments in empirical IO: dynamic demand and dynamic games," MPRA Paper 27814, University Library of Munich, Germany.
    19. 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.
    20. Drew Fudenberg, 2015. "Tirole's Industrial Regulation and Organization Legacy in Economics," Scandinavian Journal of Economics, Wiley Blackwell, vol. 117(3), pages 771-800, July.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    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: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.