IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v387y2008i14p3669-3677.html
   My bibliography  Save this article

An n-person battle of sexes game

Author

Listed:
  • Zhao, Jijun
  • Szilagyi, Miklos N.
  • Szidarovszky, Ferenc

Abstract

The n-person Battle of Sexes game is first introduced. The game’s properties are discussed and payoff functions are modeled under the main assumption that players’ payoffs are based on whether they like their choices or not and also on how many other players have the same choices. Linear payoff functions are assumed and the existence of the Nash equilibrium is examined. The dependence of the equilibrium on model parameters is also analyzed.

Suggested Citation

  • Zhao, Jijun & Szilagyi, Miklos N. & Szidarovszky, Ferenc, 2008. "An n-person battle of sexes game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3669-3677.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:14:p:3669-3677
    DOI: 10.1016/j.physa.2007.09.053
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437108002082
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2007.09.053?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. Russell Cooper & Douglas V. DeJong & Robert Forsythe & Thomas W. Ross, 1989. "Communication in the Battle of the Sexes Game: Some Experimental Results," RAND Journal of Economics, The RAND Corporation, vol. 20(4), pages 568-587, Winter.
    2. Joseph Farrell, 1987. "Cheap Talk, Coordination, and Entry," RAND Journal of Economics, The RAND Corporation, vol. 18(1), pages 34-39, Spring.
    3. Cooper, Russell & Douglas V. DeJong & Robert Forsythe & Thomas W. Ross, 1993. "Forward Induction in the Battle-of-the-Sexes Games," American Economic Review, American Economic Association, vol. 83(5), pages 1303-1316, December.
    4. COOPER, R. & DEJONG, D.V. & FORSYTHE, R. & Tom Ross, 1989. "Communication In The Battle Of The Sexes Game," Carleton Industrial Organization Research Unit (CIORU) 89-03, Carleton University, Department of Economics.
    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. Hernández, Penélope & Muñoz-Herrera, Manuel & Sánchez, Ángel, 2013. "Heterogeneous network games: Conflicting preferences," Games and Economic Behavior, Elsevier, vol. 79(C), pages 56-66.
    2. Zhao, Jijun & Szilagyi, Miklos N. & Szidarovszky, Ferenc, 2008. "n-person Battle of sexes games—a simulation study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3678-3688.
    3. Chunlin Wang & Joyendu Bhadury, 2022. "Consensus Game: An Extension of Battle of the Sexes Game," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 24(04), pages 1-15, December.
    4. Ramón Alonso-Sanz, 2012. "The Spatialized, Continuous-Valued Battle of the Sexes," Dynamic Games and Applications, Springer, vol. 2(2), pages 177-194, June.
    5. Bischi, Gian-Italo & Merlone, Ugo, 2010. "Binary choices in small and large groups: A unified model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(4), pages 843-853.
    6. Alonso-Sanz, Ramón, 2011. "Self-organization in the spatial battle of the sexes with probabilistic updating," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(16), pages 2956-2967.

    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. Duffy, John & Feltovich, Nick, 2002. "Do Actions Speak Louder Than Words? An Experimental Comparison of Observation and Cheap Talk," Games and Economic Behavior, Elsevier, vol. 39(1), pages 1-27, April.
    2. Huck, Steffen & Muller, Wieland, 2005. "Burning money and (pseudo) first-mover advantages: an experimental study on forward induction," Games and Economic Behavior, Elsevier, vol. 51(1), pages 109-127, April.
    3. Zhao, Jijun & Szilagyi, Miklos N. & Szidarovszky, Ferenc, 2008. "n-person Battle of sexes games—a simulation study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3678-3688.
    4. Sau-Him Lau & Vai-Lam Mui, 2008. "Using Turn Taking to Mitigate Coordination and Conflict Problems in the Repeated Battle of the Sexes Game," Theory and Decision, Springer, vol. 65(2), pages 153-183, September.
    5. Jan Libich & Dat Thanh Nguyen, 2022. "When a compromise gets compromised by another compromise," Australian Economic Papers, Wiley Blackwell, vol. 61(4), pages 678-716, December.
    6. Antonio Cabrales & Michalis Drouvelis & Zeynep Gurguy & Indrajit Ray, 2017. "Transparency is Overrated: Communicating in a Coordination Game with Private Information," CESifo Working Paper Series 6781, CESifo.
    7. Parkhurst, Gregory M. & Shogren, Jason F. & Bastian, Chris & Kivi, Paul & Donner, Jennifer & Smith, Rodney B. W., 2002. "Agglomeration bonus: an incentive mechanism to reunite fragmented habitat for biodiversity conservation," Ecological Economics, Elsevier, vol. 41(2), pages 305-328, May.
    8. Banerjee, Simanti & Cason, Timothy N. & de Vries, Frans P. & Hanley, Nick, 2017. "Transaction costs, communication and spatial coordination in Payment for Ecosystem Services Schemes," Journal of Environmental Economics and Management, Elsevier, vol. 83(C), pages 68-89.
    9. He, Simin & Offerman, Theo & van de Ven, Jeroen, 2019. "The power and limits of sequential communication in coordination games," Journal of Economic Theory, Elsevier, vol. 181(C), pages 238-273.
    10. Lensberg, Terje & Schenk-Hoppé, Klaus Reiner, 2021. "Cold play: Learning across bimatrix games," Journal of Economic Behavior & Organization, Elsevier, vol. 185(C), pages 419-441.
    11. Régis Deloche, 1993. "Prospection et accueil d'entreprises par les régions. Un problème gigogne de décision conjointe," Revue Économique, Programme National Persée, vol. 44(4), pages 809-820.
    12. Harrison, Glenn W. & Martínez-Correa, Jimmy & Swarthout, J. Todd, 2013. "Inducing risk neutral preferences with binary lotteries: A reconsideration," Journal of Economic Behavior & Organization, Elsevier, vol. 94(C), pages 145-159.
    13. Cabrales, Antonio & Garcia-Fontes, Walter & Motta, Massimo, 2000. "Risk dominance selects the leader: An experimental analysis," International Journal of Industrial Organization, Elsevier, vol. 18(1), pages 137-162, January.
    14. John Duffy & Jonathan Lafky, 2018. "Living a Lie: Theory and Evidence on Public Preference Falsification," Working Papers 2018-01, Carleton College, Department of Economics.
    15. Syngjoo Choi & Jihong Lee, 2014. "Communication, Coordination, And Networks," Journal of the European Economic Association, European Economic Association, vol. 12(1), pages 223-247, February.
    16. Crawford, Vincent, 1998. "A Survey of Experiments on Communication via Cheap Talk," Journal of Economic Theory, Elsevier, vol. 78(2), pages 286-298, February.
    17. Sutter, Matthias & Strassmair, Christina, 2009. "Communication, cooperation and collusion in team tournaments--An experimental study," Games and Economic Behavior, Elsevier, vol. 66(1), pages 506-525, May.
    18. Chirantan Ganguly & Indrajit Ray, 2013. "Information-Revelation and Coordination Using Cheap Talk in a Battle of the Sexes with Two-Sided Private Information," Discussion Papers 13-01r, Department of Economics, University of Birmingham.
    19. Tore Ellingsen & Robert Östling, 2010. "When Does Communication Improve Coordination?," American Economic Review, American Economic Association, vol. 100(4), pages 1695-1724, September.
    20. Sally, David, 2005. "Can I say "bobobo" and mean "There's no such thing as cheap talk"?," Journal of Economic Behavior & Organization, Elsevier, vol. 57(3), pages 245-266, July.

    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:eee:phsmap:v:387:y:2008:i:14:p:3669-3677. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.