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Multisided matching games with complementarities

Author

Listed:
  • Katerina Sherstyuk

    (Department of Economics, Melbourne University, Parkville, Victoria 3052, Australia)

Abstract

The paper considers multisided matching games with transfereable utility using the approach of cooperative game theory. Stable matchings are shown to exist when characteristic functions are supermodular, i.e., agents' abilities to contribute to the value of a coalition are complementary across types. We analyze the structure of the core of supermodular matching games and suggest an algorithm for constructing its extreme payoff vectors.

Suggested Citation

  • Katerina Sherstyuk, 1999. "Multisided matching games with complementarities," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(4), pages 489-509.
    • Handle: RePEc:spr:jogath:v:28:y:1999:i:4:p:489-509
    Note: Received February 1997/Final version September 1998
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    Citations

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    Cited by:

    1. Atay, Ata & Solymosi, Tamás, 2018. "On bargaining sets of supplier-firm-buyer games," Economics Letters, Elsevier, vol. 167(C), pages 99-103.
    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. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Vladimir Danilov, 2022. "Complementary choice functions," Papers 2209.06514, arXiv.org.
    9. Christian Roessler & Philipp Koellinger, 2009. "Firm Formation with Complementarities: The Role of the Entrepreneur," Tinbergen Institute Discussion Papers 09-003/3, Tinbergen Institute, revised 26 Jul 2011.
    10. Combe, Julien, 2022. "Matching with ownership," Journal of Mathematical Economics, Elsevier, vol. 98(C).
    11. Roessler, Christian & Koellinger, Philipp, 2012. "Entrepreneurship and organization design," European Economic Review, Elsevier, vol. 56(4), pages 888-902.
    12. 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.
    13. 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.

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