IDEAS home Printed from https://ideas.repec.org/p/qld/uq2004/527.html
   My bibliography  Save this paper

Corrigendum to: “Discounted Stochastic Games with No Stationary Nash Equilibrium: Two Examples

Author

Listed:

Abstract

Levy (2013) presents examples of discounted stochastic games that do not have stationary equilibria. The second named author has pointed out that one of these examples is incorrect. In addition to describing the details of this error, this note presents a new example by the first named author that succeeds in demonstrating that discounted stochastic games with absolutely continuous transitions can fail to have stationary equilibria.

Suggested Citation

  • Yehuda John Levy & Andrew McLennan, 2014. "Corrigendum to: “Discounted Stochastic Games with No Stationary Nash Equilibrium: Two Examples," Discussion Papers Series 527, School of Economics, University of Queensland, Australia.
    • Handle: RePEc:qld:uq2004:527
    as

    Download full text from publisher

    File URL: https://economics.uq.edu.au/files/46020/527.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    2. McLennan, Andrew, 2014. "Fixed points of parameterized perturbations," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 186-189.
    3. Yehuda Levy, 2013. "Discounted Stochastic Games With No Stationary Nash Equilibrium: Two Examples," Econometrica, Econometric Society, vol. 81(5), pages 1973-2007, September.
    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. Page, Frank, 2016. "On K-Class discounted stochastic games," LSE Research Online Documents on Economics 67809, London School of Economics and Political Science, LSE Library.
    2. Qingda Wei & Xian Chen, 2022. "Discounted stochastic games for continuous-time jump processes with an uncountable state space," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 95(2), pages 187-218, April.
    3. McLennan, Andrew, 2014. "Fixed points of parameterized perturbations," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 186-189.
    4. Subir K. Chakrabarti, 2021. "Stationary equilibrium in stochastic dynamic models: Semi-Markov strategies," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(2), pages 177-194, October.
    5. Page, Frank, 2015. "Stationary Markov equilibria for K-class discounted stochastic games," LSE Research Online Documents on Economics 65103, London School of Economics and Political Science, LSE Library.
    6. Kimmo Berg, 2016. "Elementary Subpaths in Discounted Stochastic Games," Dynamic Games and Applications, Springer, vol. 6(3), pages 304-323, September.
    7. He, Wei & Sun, Yeneng, 2017. "Stationary Markov perfect equilibria in discounted stochastic games," Journal of Economic Theory, Elsevier, vol. 169(C), pages 35-61.
    8. Anna Jaśkiewicz & Andrzej S. Nowak, 2016. "Stationary Almost Markov Perfect Equilibria in Discounted Stochastic Games," Mathematics of Operations Research, INFORMS, vol. 41(2), pages 430-441, May.
    9. Page, Frank, 2016. "Stationary Markov equilibria for approximable discounted stochastic games," LSE Research Online Documents on Economics 67808, London School of Economics and Political Science, LSE Library.
    10. Hülya Eraslan & Kirill S. Evdokimov & Jan Zápal, 2022. "Dynamic Legislative Bargaining," Springer Books, in: Emin Karagözoğlu & Kyle B. Hyndman (ed.), Bargaining, chapter 0, pages 151-175, Springer.
    11. Eunmi Ko, 2024. "Stationary Bayesian–Markov Equilibria in Bayesian Stochastic Games with Periodic Revelation," Games, MDPI, vol. 15(5), pages 1-17, September.
    12. Wei He, 2022. "Discontinuous stochastic games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(4), pages 827-858, June.
    13. Vivek S. Borkar, 2022. "Learning to cooperate in agent-based control of queueing networks," Queueing Systems: Theory and Applications, Springer, vol. 100(3), pages 513-515, April.

    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. McLennan, Andrew, 2014. "Fixed points of parameterized perturbations," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 186-189.
    2. He, Wei & Sun, Yeneng, 2013. "Stationary Markov Perfect Equilibria in Discounted Stochastic Games," MPRA Paper 51274, University Library of Munich, Germany.
    3. Eduardo Perez-Richet, 2014. "Interim Bayesian Persuasion: First Steps," American Economic Review, American Economic Association, vol. 104(5), pages 469-474, May.
    4. Vaccari, Federico, 2023. "Competition in costly talk," Journal of Economic Theory, Elsevier, vol. 213(C).
    5. Maria Arvaniti & Chandra K. Krishnamurthy & Anne-Sophie Crépin, 2019. "Time-consistent resource management with regime shifts," CER-ETH Economics working paper series 19/329, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    6. Gary Charness & Francesco Feri & Miguel A. Meléndez-Jiménez & Matthias Sutter, 2023. "An Experimental Study on the Effects of Communication, Credibility, and Clustering in Network Games," The Review of Economics and Statistics, MIT Press, vol. 105(6), pages 1530-1543, November.
    7. Dieter Balkenborg & Rosemarie Nagel, 2016. "An Experiment on Forward vs. Backward Induction: How Fairness and Level k Reasoning Matter," German Economic Review, Verein für Socialpolitik, vol. 17(3), pages 378-408, August.
    8. Gabriele Gratton & Richard Holden & Anton Kolotilin, 2015. "Timing Information Flows," Discussion Papers 2015-16, School of Economics, The University of New South Wales.
    9. Srihari Govindan & Robert Wilson, 2009. "On Forward Induction," Econometrica, Econometric Society, vol. 77(1), pages 1-28, January.
    10. Berentsen, Aleksander & McBride, Michael & Rocheteau, Guillaume, 2017. "Limelight on dark markets: Theory and experimental evidence on liquidity and information," Journal of Economic Dynamics and Control, Elsevier, vol. 75(C), pages 70-90.
    11. Dominiak, Adam & Lee, Dongwoo, 2023. "Testing rational hypotheses in signaling games," European Economic Review, Elsevier, vol. 160(C).
    12. De Sinopoli, Francesco, 2004. "A note on forward induction in a model of representative democracy," Games and Economic Behavior, Elsevier, vol. 46(1), pages 41-54, January.
    13. Bernheim, B Douglas, 1994. "A Theory of Conformity," Journal of Political Economy, University of Chicago Press, vol. 102(5), pages 841-877, October.
    14. Bajoori, Elnaz & Flesch, János & Vermeulen, Dries, 2016. "Behavioral perfect equilibrium in Bayesian games," Games and Economic Behavior, Elsevier, vol. 98(C), pages 78-109.
    15. van Damme, E.E.C., 1995. "Game theory : The next stage," Other publications TiSEM 7779b0f9-bef5-45c7-ae6b-7, Tilburg University, School of Economics and Management.
    16. Asheim, G.B. & Dufwenberg, M., 1996. "Admissibility and Common Knowledge," Discussion Paper 1996-16, Tilburg University, Center for Economic Research.
    17. Daniel Gottlieb & Kent Smetters, 2011. "Grade Non-Disclosure," NBER Working Papers 17465, National Bureau of Economic Research, Inc.
    18. Peleg, Bezalel & Tijs, Stef, 1996. "The Consistency Principle for Games in Strategic Forms," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(1), pages 13-34.
    19. Iñaki Aguirre, 1999. "Information transmission and incentives not to price discriminate," Spanish Economic Review, Springer;Spanish Economic Association, vol. 1(3), pages 283-299.
    20. Francesco De Sinopoli & Leo Ferraris & Giovanna Iannantuoni, 2013. "Electing a parliament," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 715-737, March.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:qld:uq2004:527. 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: SOE IT (email available below). General contact details of provider: https://edirc.repec.org/data/decuqau.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.