IDEAS home Printed from https://ideas.repec.org/p/unm/umamet/2011029.html
   My bibliography  Save this paper

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. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-894, July.
    2. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
    3. 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.
    4. 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.
    5. Jean-François Mertens, 1989. "Stable Equilibria---A Reformulation," Mathematics of Operations Research, INFORMS, vol. 14(4), pages 575-625, November.
    6. 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.
    7. Carbonell-Nicolau, Oriol, 2010. "Essential equilibria in normal-form games," Journal of Economic Theory, Elsevier, vol. 145(1), pages 421-431, January.
    8. Matthew O. Jackson & Leo K. Simon & Jeroen M. Swinkels & William R. Zame, 2002. "Communication and Equilibrium in Discontinuous Games of Incomplete Information," Econometrica, Econometric Society, vol. 70(5), pages 1711-1740, September.
    9. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818742, October.
    10. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    11. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524117, October.
    12. 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.
    13. 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.
    14. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818735, October.
    15. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524124, October.
    16. 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).
    17. 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.
    18. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818728, October.
    19. Andersson, O. & Argenton, C. & Weibull, J., 2010. "Robustness to Strategic Uncertainty (Revision of DP 2010-70)," Other publications TiSEM ed3ff1ba-756a-4445-8892-c, Tilburg University, School of Economics and Management.
    20. Simon, Leo K & Stinchcombe, Maxwell B, 1995. "Equilibrium Refinement for Infinite Normal-Form Games," Econometrica, Econometric Society, vol. 63(6), pages 1421-1443, November.
    21. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524131, October.
    22. Hillas, John, 1990. "On the Definition of the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 58(6), pages 1365-1390, November.
    23. 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.
    24. Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, January.
    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. Bajoori, Elnaz & Flesch, János & Vermeulen, Dries, 2016. "Behavioral perfect equilibrium in Bayesian games," Games and Economic Behavior, Elsevier, vol. 98(C), pages 78-109.
    4. Andersson, Ola & Argenton, Cédric & Weibull, Jörgen W., 2014. "Robustness to strategic uncertainty," Games and Economic Behavior, Elsevier, vol. 85(C), pages 272-288.
    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. 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, 2008. "Correct (and misleading) arguments for using market based pollution control policies," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt8rw5801j, Department of Agricultural & Resource Economics, UC Berkeley.
    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. Yoo, Seung Han, 2014. "Learning a population distribution," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 188-201.
    6. Chassang, Sylvain, 2008. "Uniform selection in global games," Journal of Economic Theory, Elsevier, vol. 139(1), pages 222-241, March.
    7. 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.
    8. Ahnert, Toni & Martinez-Miera, David, 2021. "Bank Runs, Bank Competition and Opacity," VfS Annual Conference 2021 (Virtual Conference): Climate Economics 242348, Verein für Socialpolitik / German Economic Association.
    9. Aldashev, Gani, 2010. "Political Information Acquisition for Social Exchange," Quarterly Journal of Political Science, now publishers, vol. 5(1), pages 1-25, April.
    10. Stephen Morris & Ming Yang, 2016. "Coordination and the Relative Cost of Distinguishing Nearby States," Working Papers 079_2016, Princeton University, Department of Economics, Econometric Research Program..
    11. Bruno Jullien & Alessandro Pavan, 2013. "Platform Competition under Dispersed Information," Discussion Papers 1568, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    12. repec:hum:wpaper:sfb649dp2016-045 is not listed on IDEAS
    13. Koenig, Philipp & Pothier, David, 2016. "Information acquisition and liquidity dry-ups," SFB 649 Discussion Papers 2016-045, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    14. 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.
    15. Brunnermeier, Markus & Abadi, Joseph, 2018. "Blockchain Economics," CEPR Discussion Papers 13420, C.E.P.R. Discussion Papers.
    16. Camille Cornand & Frank Heinemann, 2009. "Speculative Attacks with Multiple Sources of Public Information," Scandinavian Journal of Economics, Wiley Blackwell, vol. 111(1), pages 73-102, March.
    17. Ahnert, Toni & Anand, Kartik & Gai, Prasanna & Chapman, James, 2015. "Safe, or not safe? Covered bonds and Bank Fragility," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 112875, Verein für Socialpolitik / German Economic Association.
    18. Albert Banal‐Estañol & Jo Seldeslachts, 2011. "Merger Failures," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 20(2), pages 589-624, June.
    19. Pekka S��skilahti, 2015. "Monopoly Pricing of Social Goods," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 22(3), pages 429-448, November.
    20. Pekka Sääskilahti, 2016. "Buying Decision Coordination and Monopoly Pricing of Network Goods," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 25(2), pages 313-333, April.
    21. Guimaraes, Bernardo & Machado, Caio, 2013. "Demand expectations and the timing of stimulus policies," MPRA Paper 48895, University Library of Munich, Germany.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

    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: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 Leonne Portz (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.