IDEAS home Printed from https://ideas.repec.org/a/spr/jcomop/v36y2018i4d10.1007_s10878-017-0189-y.html
   My bibliography  Save this article

Congestion games with mixed objectives

Author

Listed:
  • Matthias Feldotto

    (Paderborn University)

  • Lennart Leder

    (Paderborn University)

  • Alexander Skopalik

    (Paderborn University)

Abstract

We study a new class of games which generalizes congestion games and its bottleneck variant. We introduce congestion games with mixed objectives to model network scenarios in which players seek to optimize for latency and bandwidths alike. We characterize the (non-)existence of pure Nash equilibria (PNE), the convergence of improvement dynamics, the quality of equilibria and show the complexity of the decision problem. For games that do not possess PNE we give bounds on the approximation ratio of approximate pure Nash equilibria.

Suggested Citation

  • Matthias Feldotto & Lennart Leder & Alexander Skopalik, 2018. "Congestion games with mixed objectives," Journal of Combinatorial Optimization, Springer, vol. 36(4), pages 1145-1167, November.
    • Handle: RePEc:spr:jcomop:v:36:y:2018:i:4:d:10.1007_s10878-017-0189-y
    DOI: 10.1007/s10878-017-0189-y
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10878-017-0189-y
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10878-017-0189-y?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. Chien, Steve & Sinclair, Alistair, 2011. "Convergence to approximate Nash equilibria in congestion games," Games and Economic Behavior, Elsevier, vol. 71(2), pages 315-327, March.
    2. Milchtaich, Igal, 1996. "Congestion Games with Player-Specific Payoff Functions," Games and Economic Behavior, Elsevier, vol. 13(1), pages 111-124, March.
    3. Ioannis Caragiannis & Angelo Fanelli & Nick Gravin & Alexander Skopalik, 2015. "Approximate Pure Nash Equilibria in Weighted Congestion Games," Post-Print halshs-02094622, HAL.
    4. Juliane Dunkel & Andreas S. Schulz, 2008. "On the Complexity of Pure-Strategy Nash Equilibria in Congestion and Local-Effect Games," Mathematics of Operations Research, INFORMS, vol. 33(4), pages 851-868, November.
    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. Maximilian Drees & Matthias Feldotto & Sören Riechers & Alexander Skopalik, 2019. "Pure Nash equilibria in restricted budget games," Journal of Combinatorial Optimization, Springer, vol. 37(2), pages 620-638, February.
    2. Dominique Barth & Benjamin Cohen-Boulakia & Wilfried Ehounou, 2022. "Distributed Reinforcement Learning for the Management of a Smart Grid Interconnecting Independent Prosumers," Energies, MDPI, vol. 15(4), pages 1-19, February.
    3. Igal Milchtaich, 2015. "Network topology and equilibrium existence in weighted network congestion games," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(3), pages 515-541, August.
    4. Tobias Harks & Max Klimm, 2012. "On the Existence of Pure Nash Equilibria in Weighted Congestion Games," Mathematics of Operations Research, INFORMS, vol. 37(3), pages 419-436, August.
    5. Daskalakis, Constantinos & Papadimitriou, Christos H., 2015. "Approximate Nash equilibria in anonymous games," Journal of Economic Theory, Elsevier, vol. 156(C), pages 207-245.
    6. 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.
    7. Tami Tamir, 2023. "Cost-sharing games in real-time scheduling systems," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(1), pages 273-301, March.
    8. Le Breton, Michel & Weber, Shlomo, 2009. "Existence of Pure Strategies Nash Equilibria in Social Interaction Games with Dyadic Externalities," CEPR Discussion Papers 7279, C.E.P.R. Discussion Papers.
    9. Arnold, Tone & Wooders, Myrna, 2002. "Dynamic Club Formation with Coordination," Economic Research Papers 269414, University of Warwick - Department of Economics.
    10. Ryo Kawasaki & Hideo Konishi & Junki Yukawa, 2023. "Equilibria in bottleneck games," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(3), pages 649-685, September.
    11. Hideo Konishi, 2004. "Uniqueness of User Equilibrium in Transportation Networks with Heterogeneous Commuters," Transportation Science, INFORMS, vol. 38(3), pages 315-330, August.
    12. Igal Milchtaich, 2000. "Generic Uniqueness of Equilibrium in Large Crowding Games," Mathematics of Operations Research, INFORMS, vol. 25(3), pages 349-364, August.
    13. Milchtaich, Igal, 2009. "Weighted congestion games with separable preferences," Games and Economic Behavior, Elsevier, vol. 67(2), pages 750-757, November.
    14. Yash Kanoria & Hamid Nazerzadeh, 2020. "Dynamic Reserve Prices for Repeated Auctions: Learning from Bids," Papers 2002.07331, arXiv.org.
    15. Aner Sela & Ishay Rabi & Chen Cohen, 2023. "An Algorithmic Analysis of Parallel Contests," Working Papers 2317, Ben-Gurion University of the Negev, Department of Economics.
    16. Olivier Tercieux & Mark Voorneveld, 2010. "The cutting power of preparation," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 71(1), pages 85-101, February.
    17. Le Breton, Michel & Shapoval, Alexander & Weber, Shlomo, 2021. "A game-theoretical model of the landscape theory," Journal of Mathematical Economics, Elsevier, vol. 92(C), pages 41-46.
    18. Bavly, Gilad & Heller, Yuval & Schreiber, Amnon, 2022. "Social welfare in search games with asymmetric information," Journal of Economic Theory, Elsevier, vol. 202(C).
    19. Kukushkin, Nikolai S., 2015. "Cournot tatonnement and potentials," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 117-127.
    20. Darryl Seale & Amnon Rapoport, 2000. "Elicitation of Strategy Profiles in Large Group Coordination Games," Experimental Economics, Springer;Economic Science Association, vol. 3(2), pages 153-179, October.

    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:jcomop:v:36:y:2018:i:4:d:10.1007_s10878-017-0189-y. 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.