IDEAS home Printed from https://ideas.repec.org/p/unm/umamet/2011029.html

Perfect equilibrium in games with compact action spaces

Author

Listed:
  • Bajoori, E.

    (Quantitative Economics)

  • Flesch, J.

    (Quantitative Economics)

  • Vermeulen, A.J.

    (Quantitative Economics)

Abstract

Simon and Stinchcombe distinguish two approaches to perfect equilibrium, the “trembling hand” approach, and the “finitistic” approach, for games with compact action spaces and continuous payoffs. We investigate relations between the different types of perfect equilibrium introduced by Simon and Stinchcombe. We also propose an improved version of the finitistic approach, and prove existence.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Bajoori, E. & Flesch, J. & Vermeulen, A.J., 2011. "Perfect equilibrium in games with compact action spaces," Research Memorandum 029, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  • Handle: RePEc:unm:umamet:2011029
    DOI: 10.26481/umamet.2011029
    as

    Download full text from publisher

    File URL: https://cris.maastrichtuniversity.nl/ws/files/1508692/guid-b2542acd-fe12-4e25-8881-46570d789b87-ASSET1.0.pdf
    Download Restriction: no

    File URL: https://libkey.io/10.26481/umamet.2011029?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
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
    2. Andersson, Ola & Argenton, Cédric & Weibull, Jörgen, 2010. "Robustness to strategic uncertainty in price competition," SSE/EFI Working Paper Series in Economics and Finance 0726, Stockholm School of Economics, revised 08 Apr 2010.
    3. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818728.
    4. Andersson, O. & Argenton, C. & Weibull, J., 2010. "Robustness to Strategic Uncertainty (Revision of DP 2010-70)," Discussion Paper 2010-98, Tilburg University, Center for Economic Research.
    5. Jean-François Mertens, 1989. "Stable Equilibria---A Reformulation," Mathematics of Operations Research, INFORMS, vol. 14(4), pages 575-625, November.
    6. Simon, Leo K & Stinchcombe, Maxwell B, 1995. "Equilibrium Refinement for Infinite Normal-Form Games," Econometrica, Econometric Society, vol. 63(6), pages 1421-1443, November.
    7. MERTENS, Jean-François, 1989. "Stable equilibria - a reformulation. Part I. Definition and basic properties," LIDAM Reprints CORE 866, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. Olivier Compte & Philippe Jehiel, 2007. "Auctions and information acquisition: sealed bid or dynamic formats?," RAND Journal of Economics, RAND Corporation, vol. 38(2), pages 355-372, June.
    9. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524131.
    10. Jean-François Mertens, 2004. "Ordinality in non cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(3), pages 387-430, June.
    11. Hillas, John, 1990. "On the Definition of the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 58(6), pages 1365-1390, November.
    12. Carbonell-Nicolau, Oriol, 2010. "Essential equilibria in normal-form games," Journal of Economic Theory, Elsevier, vol. 145(1), pages 421-431, January.
    13. Matthew O. Jackson & Leo K. Simon & Jeroen M. Swinkels & William R. Zame, 2004. "Corrigendum to "Communication and Equilibrium in Discontinuous Games of Incomplete Information"," Econometrica, Econometric Society, vol. 72(6), pages 1927-1929, November.
    14. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818742.
    15. Vermeulen, A. J. & Jansen, M. J. M., 1997. "On the invariance of solutions of finite games," Mathematical Social Sciences, Elsevier, vol. 33(3), pages 251-267, June.
    16. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    17. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524117.
    18. Mendez-Naya L. & Garcia-Jurado, I. & Cesco, J. C., 1996. "Perfection of Nash equilibria in continous games," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 53-53, February.
    19. Jacques Crémer & Yossi Spiegel & Charles Zheng, 2009. "Auctions with costly information acquisition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(1), pages 41-72, January.
    20. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818735.
    21. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524124.
    22. Mathias Dewatripont & Lars Peter Hansen & Stephen Turnovsky, 2003. "Advances in economics and econometrics :theory and applications," ULB Institutional Repository 2013/9557, ULB -- Universite Libre de Bruxelles.
    23. MERTENS, Jean-François, 1991. "Stable equilibria - a reformulation. Part II. Discussion of the definition, and further results," LIDAM Reprints CORE 960, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    24. Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, October.
    25. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-894, July.
    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. Bajoori, Elnaz & Vermeulen, Dries, 2019. "Equilibrium selection in interdependent value auctions," Mathematical Social Sciences, Elsevier, vol. 98(C), pages 47-56.
    2. Oriol Carbonell-Nicolau & Richard McLean, 2013. "Approximation results for discontinuous games with an application to equilibrium refinement," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(1), pages 1-26, September.
    3. repec:eid:wpaper:58137 is not listed on IDEAS
    4. Bajoori, Elnaz & Flesch, János & Vermeulen, Dries, 2016. "Behavioral perfect equilibrium in Bayesian games," Games and Economic Behavior, Elsevier, vol. 98(C), pages 78-109.
    5. Oriol Carbonell-Nicolau, 2021. "Perfect equilibria in games of incomplete information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(4), pages 1591-1648, June.
    6. repec:eid:wpaper:37904 is not listed on IDEAS
    7. Roger B. Myerson & Philip J. Reny, 2020. "Perfect Conditional ε‐Equilibria of Multi‐Stage Games With Infinite Sets of Signals and Actions," Econometrica, Econometric Society, vol. 88(2), pages 495-531, March.
    8. Francesc Dilmé, 2026. "Nash Equilibria as Limits of Equilibria of Nearby Finite Games," ECONtribute Discussion Papers Series 400, University of Bonn and University of Cologne, Germany.
    9. Andersson, Ola & Argenton, Cédric & Weibull, Jörgen W., 2014. "Robustness to strategic uncertainty," Games and Economic Behavior, Elsevier, vol. 85(C), pages 272-288.
    10. Elnaz Bajoori & Dries Vermeulen, 2018. "Distributional Perfect Equilibrium in Bayesian Games with Applications to Auctions," Department of Economics Working Papers 15/13R, University of Bath, Department of Economics.
    11. Dahjin Kim & Gechun Lin & Keith E. Schnakenberg, 2024. "Informative campaigns, overpromising, and policy bargaining," Journal of Theoretical Politics, , vol. 36(4), pages 344-366, October.
    12. Jonathan Spiteri & Jonathan James & Michele Belot, 2018. "A Computer-Based Incentivized Food Basket Choice Tool: Presentation and Evaluation," Department of Economics Working Papers 69/18, University of Bath, Department of Economics.
    13. repec:eid:wpaper:37909 is not listed 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. Andersson, Ola & Argenton, Cédric & Weibull, Jörgen W., 2014. "Robustness to strategic uncertainty," Games and Economic Behavior, Elsevier, vol. 85(C), pages 272-288.
    2. Gehlbach, Scott & Keefer, Philip, 2011. "Investment without democracy: Ruling-party institutionalization and credible commitment in autocracies," Journal of Comparative Economics, Elsevier, vol. 39(2), pages 123-139, June.
    3. Karp, Larry S., "undated". "Correct (and misleading) arguments for using market based pollution control policies," CUDARE Working Papers 42868, University of California, Berkeley, Department of Agricultural and Resource Economics.
    4. Kasahara, Tetsuya, 2009. "Coordination failure among multiple lenders and the role and effects of public policy," Journal of Financial Stability, Elsevier, vol. 5(2), pages 183-198, June.
    5. Bruno Jullien & Alessandro Pavan, 2013. "Platform Competition under Dispersed Information," Discussion Papers 1568, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    6. Junnosuke Shino, 2010. "Lender of Last Resort Policy in a Global Game and the Role of Depositors Aggregate Behavior as Signaling," Departmental Working Papers 201007, Rutgers University, Department of Economics.
    7. Assaf Razin & Itay Goldstein, 2012. "Review Of Theories of Financial Crises," 2012 Meeting Papers 214, Society for Economic Dynamics.
    8. König, Philipp & Anand, Kartik & Heinemann, Frank, 2014. "Guarantees, transparency and the interdependency between sovereign and bank default risk," Journal of Banking & Finance, Elsevier, vol. 45(C), pages 321-337.
    9. Guimaraes, Bernardo & Pereira, Ana Elisa, 2017. "Dynamic coordination among heterogeneous agents," Journal of Mathematical Economics, Elsevier, vol. 73(C), pages 13-33.
    10. Mason, Robin & Valentinyi, Ã kos, 2007. "The existence and uniqueness of monotone pure strategy equilibrium in Bayesian games," Discussion Paper Series In Economics And Econometrics 710, Economics Division, School of Social Sciences, University of Southampton.
    11. Kasahara, Tetsuya, 2013. "Investment complementarities, coordination failure, and the role and effects of public investment policy," Discussion Paper Series 589, Institute of Economic Research, Hitotsubashi University.
    12. Camille Cornand & Frank Heinemann, 2018. "Experiments on macroeconomics: methods and applications," Working Papers 1810, Groupe d'Analyse et de Théorie Economique Lyon St-Etienne (GATE Lyon St-Etienne), Université de Lyon.
    13. Claudia Cerrone & Francesco Feri & Philip R. Neary, 2019. "Ignorance is bliss: a game of regret," Discussion Paper Series of the Max Planck Institute for Behavioral Economics 2019_10, Max Planck Institute for Behavioral Economics.
    14. Morris, Stephen & Shin, Hyun Song & Yildiz, Muhamet, 2016. "Common belief foundations of global games," Journal of Economic Theory, Elsevier, vol. 163(C), pages 826-848.
    15. Aleh Tsyvinski & Arijit Mukherji & Christian Hellwig, 2006. "Self-Fulfilling Currency Crises: The Role of Interest Rates," American Economic Review, American Economic Association, vol. 96(5), pages 1769-1787, December.
    16. George-Marios Angeletos & Christian Hellwig & Alessandro Pavan, 2006. "Signaling in a Global Game: Coordination and Policy Traps," Journal of Political Economy, University of Chicago Press, vol. 114(3), pages 452-484, June.
    17. Khan, Mohammed Ali & Rath, Kali P. & Yu, Haomiao & Zhang, Yongchao, 2017. "On the equivalence of large individualized and distributionalized games," Theoretical Economics, Econometric Society, vol. 12(2), May.
    18. Aldashev, Gani, 2010. "Political Information Acquisition for Social Exchange," Quarterly Journal of Political Science, now publishers, vol. 5(1), pages 1-25, April.
    19. Lehtinen, Aki, 2008. "The welfare consequences of strategic behaviour under approval and plurality voting," European Journal of Political Economy, Elsevier, vol. 24(3), pages 688-704, September.
    20. Basteck, Christian & Daniëls, Tijmen R. & Heinemann, Frank, 2013. "Characterising equilibrium selection in global games with strategic complementarities," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2620-2637.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative 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:unm:umamet:2011029. 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: Andrea Willems or Angie Figueroa Alarcon (email available below). General contact details of provider: https://edirc.repec.org/data/meteonl.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.