IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v107y2000i2d10.1023_a1026477202567.html
   My bibliography  Save this article

Infinite Hierarchical Potential Games

Author

Listed:
  • L. Mallozi

    (Università di Napoli Federico II)

  • S. Tijs

    (Tilburg University)

  • M. Voorneveld

    (Tilburg University)

Abstract

Hierarchical potential games with infinite strategy sets are considered. For these games, pessimistic Stackelberg equilibria are characterized as minimum points of the potential function; properties are studied and illustrated with examples.

Suggested Citation

  • L. Mallozi & S. Tijs & M. Voorneveld, 2000. "Infinite Hierarchical Potential Games," Journal of Optimization Theory and Applications, Springer, vol. 107(2), pages 287-296, November.
    • Handle: RePEc:spr:joptap:v:107:y:2000:i:2:d:10.1023_a:1026477202567
    DOI: 10.1023/A:1026477202567
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1023/A:1026477202567
    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:1026477202567?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Peleg, Bezalel & Potters, Jos A M & Tijs, Stef H, 1996. "Minimality of Consistent Solutions for Strategic Games, in Particular for Potential Games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(1), pages 81-93, January.
    2. M. B. Lignola & J. Morgan, 1997. "Stability of Regularized Bilevel Programming Problems," Journal of Optimization Theory and Applications, Springer, vol. 93(3), pages 575-596, June.
    3. Patrone, F. & Pieri, G. & Tijs, S.H. & Torre, A., 1996. "On Consistent Solutions for Strategic Games," Other publications TiSEM 07b489e5-dff2-45d0-bd65-1, Tilburg University, School of Economics and Management.
    4. Giovanni Facchini & Freek van Megen & Peter Borm & Stef Tijs, 1997. "Congestion Models And Weighted Bayesian Potential Games," Theory and Decision, Springer, vol. 42(2), pages 193-206, March.
    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. Branzei, Rodica & Mallozzi, Lina & Tijs, Stef, 2003. "Supermodular games and potential games," Journal of Mathematical Economics, Elsevier, vol. 39(1-2), pages 39-49, February.
    2. Lina Mallozzi, 2013. "An application of optimization theory to the study of equilibria for games: a survey," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(3), pages 523-539, September.

    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. Voorneveld, Mark, 1997. "Equilibria and approximate equilibria in infinite potential games," Economics Letters, Elsevier, vol. 56(2), pages 163-169, October.
    2. Voorneveld, Mark, 2019. "An axiomatization of the Nash equilibrium concept," Games and Economic Behavior, Elsevier, vol. 117(C), pages 316-321.
    3. Mark Voorneveld & Peter Borm & Freek Van Megen & Stef Tijs & Giovanni Facchini, 1999. "Congestion Games And Potentials Reconsidered," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 1(03n04), pages 283-299.
    4. Martin Meier & Burkhard Schipper, 2014. "Bayesian games with unawareness and unawareness perfection," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 219-249, June.
    5. Dufwenberg, M. & Norde, H.W. & Reijnierse, J.H. & Tijs, S.H., 1997. "The consistency principle for set-valued solutions and a new direction for the theory of equilibrium refinements," Discussion Paper 1997-34, Tilburg University, Center for Economic Research.
    6. Stéphane Gonzalez & Aymeric Lardon, 2018. "Axiomatic Foundations of a Unifying Concept of the Core of Games in Effectiveness Form," GREDEG Working Papers 2018-15, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
    7. Koster, M.A.L. & Reijnierse, J.H. & Voorneveld, M., 1999. "Voluntary Contribution to Multiple Public Projects," Other publications TiSEM aec6651a-5174-4670-ae62-3, Tilburg University, School of Economics and Management.
    8. Yan-An Hwang & Chun-Hsien Yeh, 2012. "A characterization of the nucleolus without homogeneity in airport problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(2), pages 355-364, February.
    9. Mark Voorneveld & Willemien Kets & Henk Norde, 2006. "An Axiomatization of Minimal Curb Sets," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(1), pages 153-153, April.
    10. Peleg, Bezalel & Sudholter, Peter, 1997. "An Axiomatization of Nash Equilibria in Economic Situations," Games and Economic Behavior, Elsevier, vol. 18(2), pages 277-285, February.
    11. P. Jean-Jacques Herings & Andrey Meshalkin & Arkadi Predtetchinski, 2020. "Optimality, Equilibrium, and Curb Sets in Decision Problems Without Commitment," Dynamic Games and Applications, Springer, vol. 10(2), pages 478-492, June.
    12. Koji Takamiya, 2006. "Consistency and Unanimity in the House Allocation Problems I: Collective Initial Endowments," ISER Discussion Paper 0657, Institute of Social and Economic Research, Osaka University.
    13. Jacques Durieu & Hans Haller & Philippe Solal, 2011. "Nonspecific Networking," Games, MDPI, vol. 2(1), pages 1-27, February.
    14. Voorneveld, Mark & Vermeulen, Dries & Borm, Peter, 1999. "Axiomatizations of Pareto Equilibria in Multicriteria Games," Games and Economic Behavior, Elsevier, vol. 28(1), pages 146-154, July.
    15. Kets, W., 2008. "Networks and learning in game theory," Other publications TiSEM 7713fce1-3131-498c-8c6f-3, Tilburg University, School of Economics and Management.
    16. M. Koster & H. Reijnierse & M. Voorneveld, 2003. "Voluntary Contributions to Multiple Public Projects," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 5(1), pages 25-50, January.
    17. Christian Ewerhart, 2020. "Ordinal potentials in smooth games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(4), pages 1069-1100, November.
    18. Giovanni Facchini & Freek van Megen & Peter Borm & Stef Tijs, 1997. "Congestion Models And Weighted Bayesian Potential Games," Theory and Decision, Springer, vol. 42(2), pages 193-206, March.
    19. Voorneveld, M., 1996. "Equilibria and Approximate Equilibria in Infinite Potential Games," Other publications TiSEM ba912d2a-7e99-45f6-b8ae-f, Tilburg University, School of Economics and Management.
    20. Voorneveld, Mark, 2004. "Preparation," Games and Economic Behavior, Elsevier, vol. 48(2), pages 403-414, August.

    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:107:y:2000:i:2:d:10.1023_a:1026477202567. 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.