IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v120y2020icp144-153.html
   My bibliography  Save this article

Assortative multisided assignment games: The extreme core points

Author

Listed:
  • Martínez-de-Albéniz, F. Javier
  • Rafels, Carlos
  • Ybern, Neus

Abstract

We analyze assortative multisided assignment games, following Sherstyuk (1999) and Martínez-de-Albéniz et al. (2019). In them players' abilities are complementary across types (i.e. supermodular), and also the output of the essential coalitions is increasing depending on types.

Suggested Citation

  • Martínez-de-Albéniz, F. Javier & Rafels, Carlos & Ybern, Neus, 2020. "Assortative multisided assignment games: The extreme core points," Games and Economic Behavior, Elsevier, vol. 120(C), pages 144-153.
    • Handle: RePEc:eee:gamebe:v:120:y:2020:i:c:p:144-153
    DOI: 10.1016/j.geb.2020.01.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825620300026
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.geb.2020.01.001?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. Ata Atay & Marina Núñez, 2019. "Multi-sided assignment games on m-partite graphs," Annals of Operations Research, Springer, vol. 279(1), pages 271-290, August.
    2. Stuart, Harborne Jr, 1997. "The supplier-firm-buyer game and its m-sided generalization," Mathematical Social Sciences, Elsevier, vol. 34(1), pages 21-27, August.
    3. Crawford, Vincent P & Knoer, Elsie Marie, 1981. "Job Matching with Heterogeneous Firms and Workers," Econometrica, Econometric Society, vol. 49(2), pages 437-450, March.
    4. Martínez-de-Albéniz, F. Javier & Rafels, Carlos & Ybern, Neus, 2019. "Solving Becker's assortative assignments and extensions," Games and Economic Behavior, Elsevier, vol. 113(C), pages 248-261.
    5. Quint, Thomas, 1991. "The core of an m-sided assignment game," Games and Economic Behavior, Elsevier, vol. 3(4), pages 487-503, November.
    6. Oriol Tejada, 2013. "Analysis of the core of multisided Böhm-Bawerk assignment markets," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(1), pages 189-205, April.
    7. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-846, July-Aug..
    8. Oriol Tejada & Marina Núñez, 2012. "The nucleolus and the core-center of multi-sided Böhm-Bawerk assignment markets," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 75(2), pages 199-220, April.
    9. Marina Núñez & Tamás Solymosi, 2017. "Lexicographic allocations and extreme core payoffs: the case of assignment games," Annals of Operations Research, Springer, vol. 254(1), pages 211-234, July.
    10. Kaneko, Mamoru & Wooders, Myrna Holtz, 1982. "Cores of partitioning games," Mathematical Social Sciences, Elsevier, vol. 3(4), pages 313-327, December.
    11. Hamers, Herbert & Klijn, Flip & Solymosi, Tamas & Tijs, Stef & Pere Villar, Joan, 2002. "Assignment Games Satisfy the CoMa-Property," Games and Economic Behavior, Elsevier, vol. 38(2), pages 231-239, February.
    12. Katerina Sherstyuk, 1999. "Multisided matching games with complementarities," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(4), pages 489-509.
    13. Eriksson, Kimmo & Karlander, Johan & Oller, Lars-Erik, 2000. "Becker's assortative assignments: stability and fairness," Mathematical Social Sciences, Elsevier, vol. 39(2), pages 109-118, March.
    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. Ata Atay & Eric Bahel & Tamás Solymosi, 2023. "Matching markets with middlemen under transferable utility," Annals of Operations Research, Springer, vol. 322(2), pages 539-563, March.
    2. O. Tejada & M. Álvarez-Mozos, 2016. "Vertical syndication-proof competitive prices in multilateral assignment markets," Review of Economic Design, Springer;Society for Economic Design, vol. 20(4), pages 289-327, December.
    3. Atay, Ata & Solymosi, Tamás, 2018. "On bargaining sets of supplier-firm-buyer games," Economics Letters, Elsevier, vol. 167(C), pages 99-103.
    4. Oriol Tejada, 2013. "Analysis of the core of multisided Böhm-Bawerk assignment markets," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(1), pages 189-205, April.
    5. Combe, Julien, 2022. "Matching with ownership," Journal of Mathematical Economics, Elsevier, vol. 98(C).
    6. F. Javier Martínez-de-Albéniz & Carlos Rafels & Neus Ybern, 2018. "Solving Becker's assortative assignments and extensions," UB School of Economics Working Papers 2018/376, University of Barcelona School of Economics.
    7. Oriol Tejada, 2013. "Complements and Substitutes in Generalized Multisided Assignment Economies," CER-ETH Economics working paper series 13/180, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    8. Martínez-de-Albéniz, F. Javier & Rafels, Carlos & Ybern, Neus, 2019. "Solving Becker's assortative assignments and extensions," Games and Economic Behavior, Elsevier, vol. 113(C), pages 248-261.
    9. Oriol Tejada & Marina Núñez, 2012. "The nucleolus and the core-center of multi-sided Böhm-Bawerk assignment markets," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 75(2), pages 199-220, April.
    10. Atay, Ata & Núñez, Marina, 2019. "A note on the relationship between the core and stable sets in three-sided markets," Mathematical Social Sciences, Elsevier, vol. 98(C), pages 10-14.
    11. Trudeau, Christian, 2018. "From the bankruptcy problem and its Concede-and-Divide solution to the assignment problem and its Fair Division solution," Games and Economic Behavior, Elsevier, vol. 108(C), pages 225-238.
    12. Streekstra, Leanne & Trudeau, Christian, 2020. "Stable source connection and assignment problems as multi-period shortest path problems," Discussion Papers on Economics 7/2020, University of Southern Denmark, Department of Economics.
    13. Ata Atay & Marina Núñez, 2019. "Multi-sided assignment games on m-partite graphs," Annals of Operations Research, Springer, vol. 279(1), pages 271-290, August.
    14. Ata Atay & Francesc Llerena & Marina Núñez, 2016. "Generalized three-sided assignment markets: core consistency and competitive prices," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 24(3), pages 572-593, October.
    15. Bolle, Friedel & Breitmoser, Yves & Otto, Philipp E., 2011. "A positive theory of cooperative games: The logit core and its variants," MPRA Paper 32918, University Library of Munich, Germany.
    16. Roth, Alvin E., 1985. "Common and conflicting interests in two-sided matching markets," European Economic Review, Elsevier, vol. 27(1), pages 75-96, February.
    17. Alfred Galichon & Scott Kominers & Simon Weber, 2014. "An Empirical Framework for Matching with Imperfectly Transferable Utility," Working Papers hal-03460155, HAL.
    18. Talman, Dolf & Yang, Zaifu, 2011. "A model of partnership formation," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 206-212, March.
    19. Hans Gersbach & Hans Haller & Hideo Konishi, 2015. "Household formation and markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(3), pages 461-507, August.
    20. R. Branzei & E. Gutiérrez & N. Llorca & J. Sánchez-Soriano, 2021. "Does it make sense to analyse a two-sided market as a multi-choice game?," Annals of Operations Research, Springer, vol. 301(1), pages 17-40, June.

    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:gamebe:v:120:y:2020:i:c:p:144-153. 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.elsevier.com/locate/inca/622836 .

    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.