IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2014y2014i1n109616.html

Stable Analysis of Solution Set for System of Quasivariational Relations with Applications

Author

Listed:
  • Lefeng Shi
  • Zhe Yang

Abstract

The essential stability of solutions for system of quasivariational relations is studied. We show that most of systems of quasivariational relations are essential (in the sense of Baire category) and that, for any system of quasivariational relations, there exists at least one essential component of its solution set. As applications, the existence of essential components of solution set for systems of KKM problems and systems of quasivariational inclusions is obtained.

Suggested Citation

  • Lefeng Shi & Zhe Yang, 2014. "Stable Analysis of Solution Set for System of Quasivariational Relations with Applications," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:109616
    DOI: 10.1155/2014/109616
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/109616
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/109616?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
    ---><---

    References listed on IDEAS

    as
    1. Yong-Hui Zhou & Jian Yu & Shu-Wen Xiang, 2007. "Essential stability in games with infinitely many pure strategies," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(4), pages 493-503, April.
    2. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, 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. Carbonell-Nicolau, Oriol, 2011. "On strategic stability in discontinuous games," Economics Letters, Elsevier, vol. 113(2), pages 120-123.
    2. Vincenzo Scalzo, 2014. "On the existence of essential and trembling-hand perfect equilibria in discontinuous games," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(1), pages 1-12, April.
    3. Vaccari, Federico, 2023. "Competition in costly talk," Journal of Economic Theory, Elsevier, vol. 213(C).
    4. Gabriele Gratton & Richard Holden & Anton Kolotilin, 2015. "Timing Information Flows," Discussion Papers 2015-16, School of Economics, The University of New South Wales.
    5. 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.
    6. Dominiak, Adam & Lee, Dongwoo, 2023. "Testing rational hypotheses in signaling games," European Economic Review, Elsevier, vol. 160(C).
    7. 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.
    8. Bernheim, B Douglas, 1994. "A Theory of Conformity," Journal of Political Economy, University of Chicago Press, vol. 102(5), pages 841-877, October.
    9. 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.
    10. Asheim, G.B. & Dufwenberg, M., 1996. "Admissibility and Common Knowledge," Discussion Paper 1996-16, Tilburg University, Center for Economic Research.
    11. Daniel Gottlieb & Kent Smetters, 2011. "Grade Non-Disclosure," NBER Working Papers 17465, National Bureau of Economic Research, Inc.
    12. 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.
    13. Iñaki Aguirre, 1999. "Information transmission and incentives not to price discriminate," Spanish Economic Review, Springer;Spanish Economic Association, vol. 1(3), pages 283-299.
    14. 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.
    15. Adrian de Groot Ruiz & Theo Offerman & Sander Onderstal, 2011. "An Experimental Study of Credible Deviations and ACDC," Tinbergen Institute Discussion Papers 11-153/1, Tinbergen Institute.
    16. Mehmet Ekmekci & Nenad Kos, 2020. "Signaling Covertly Acquired Information," Working Papers 658, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    17. Casajus, Andre, 2003. "Weak isomorphism of extensive games," Mathematical Social Sciences, Elsevier, vol. 46(3), pages 267-290, December.
    18. Satoru Takahashi, 2020. "Correction to: Non‑equivalence between all and canonical elaborations," The Japanese Economic Review, Springer, vol. 71(2), pages 349-349, April.
    19. Jason Milionis & Christos Papadimitriou & Georgios Piliouras & Kelly Spendlove, 2022. "Nash, Conley, and Computation: Impossibility and Incompleteness in Game Dynamics," Papers 2203.14129, arXiv.org.
    20. Christian Ewerhart & Stanisław Kaźmierowski, 2024. "An equilibrium analysis of the Arad-Rubinstein game," ECON - Working Papers 443, Department of Economics - University of Zurich.

    More about this item

    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:wly:jnljam:v:2014:y:2014:i:1:n:109616. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4185 .

    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.