IDEAS home Printed from https://ideas.repec.org/p/ces/ceswps/_5575.html
   My bibliography  Save this paper

Matching on Bipartite Graphs

Author

Listed:
  • Hans Gersbach
  • Hans Haller

Abstract

We study stable matchings on exogenously given or endogenously formed bipartite graphs that reflect constraints on matching. The effects of a change of the exogenously given graph (constraints) are investigated. Specifically, we examine to what extent individuals gain or lose from relaxing restrictions on matching. Sabotage of particular matches or location choice can render certain matches infeasible and, therefore, lead to endogenous constraints.

Suggested Citation

  • Hans Gersbach & Hans Haller, 2015. "Matching on Bipartite Graphs," CESifo Working Paper Series 5575, CESifo.
    • Handle: RePEc:ces:ceswps:_5575
    as

    Download full text from publisher

    File URL: https://www.cesifo.org/DocDL/cesifo1_wp5575.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Subhadip Chakrabarti & Hans Haller, 2011. "An Analysis Of Advertising Wars," Manchester School, University of Manchester, vol. 79(1), pages 100-124, January.
    2. Gabrielle Demange & David Gale & Marilda Sotomayor, 1987. "A Further Note on the Stable Matching Problem," Post-Print halshs-00670980, HAL.
    3. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
    4. Gersbach, Hans & Schmutzler, Armin, 2014. "Does globalization create superstars? A simple theory of managerial wages," European Economic Review, Elsevier, vol. 71(C), pages 34-51.
    5. Friedman, Walter A., 1998. "John H. Patterson and the Sales Strategy of the National Cash Register Company, 1884 to 1922," Business History Review, Cambridge University Press, vol. 72(4), pages 552-584, January.
    6. Holzman, Ron & Samet, Dov, 2014. "Matching of like rank and the size of the core in the marriage problem," Games and Economic Behavior, Elsevier, vol. 88(C), pages 277-285.
    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..
    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. Gersbach, Hans & Haller, Hans, 2022. "Gainers and losers from market integration," Mathematical Social Sciences, Elsevier, vol. 116(C), pages 32-39.

    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. Alfred Galichon & Bernard Salanié, 2010. "Matching with Trade-offs: Revealed Preferences over Competiting Characteristics," Working Papers hal-00473173, HAL.
    2. Alfred Galichon & Scott Kominers & Simon Weber, 2014. "An Empirical Framework for Matching with Imperfectly Transferable Utility," Working Papers hal-03460155, HAL.
    3. 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.
    4. Nikhil Agarwal & Eric Budish, 2021. "Market Design," NBER Working Papers 29367, National Bureau of Economic Research, Inc.
    5. Fuhito Kojima & Parag A. Pathak, 2009. "Incentives and Stability in Large Two-Sided Matching Markets," American Economic Review, American Economic Association, vol. 99(3), pages 608-627, June.
    6. Jeremy T. Fox, 2018. "Estimating matching games with transfers," Quantitative Economics, Econometric Society, vol. 9(1), pages 1-38, March.
    7. Alvin Roth, 2008. "Deferred acceptance algorithms: history, theory, practice, and open questions," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 537-569, March.
    8. Jeremy T. Fox & David H. Hsu & Chenyu Yang, 2012. "Unobserved Heterogeneity in Matching Games with an Application to Venture Capital," NBER Working Papers 18168, National Bureau of Economic Research, Inc.
    9. Philippe Choné & Francis Kramarz, 2021. "Matching Workers' Skills and Firms' Technologies: From Bundling to Unbundling," Working Papers 2021-10, Center for Research in Economics and Statistics.
    10. Ning Sun & Zaifu Yang, 2016. "A Theory of Marriage with Mutually Consented Divorces," Discussion Papers 16/14, Department of Economics, University of York.
    11. Jeremy T. Fox, 2010. "Identification in matching games," Quantitative Economics, Econometric Society, vol. 1(2), pages 203-254, November.
    12. repec:hal:spmain:info:hdl:2441/1293p84sf58s482v2dpn0gsd67 is not listed on IDEAS
    13. Alfred Galichon & Bernard Salanié, 2010. "Matching with Trade-Offs," Working Papers hal-03596979, HAL.
    14. Pycia, Marek & Yenmez, M. Bumin, 2019. "Matching with Externalities," CEPR Discussion Papers 13994, C.E.P.R. Discussion Papers.
    15. Alfred Galichon & Bernard Salanié, 2010. "Matching with Trade-Offs," Working Papers hal-03596979, HAL.
    16. Gutin, Gregory Z. & Neary, Philip R. & Yeo, Anders, 2023. "Unique stable matchings," Games and Economic Behavior, Elsevier, vol. 141(C), pages 529-547.
    17. Robert A. Pollak, 2016. "Marriage Market Equilibrium," NBER Working Papers 22309, National Bureau of Economic Research, Inc.
    18. Azevedo, Eduardo M., 2014. "Imperfect competition in two-sided matching markets," Games and Economic Behavior, Elsevier, vol. 83(C), pages 207-223.
    19. Jeremy T. Fox & Patrick Bajari, 2013. "Measuring the Efficiency of an FCC Spectrum Auction," American Economic Journal: Microeconomics, American Economic Association, vol. 5(1), pages 100-146, February.
    20. Jan Eeckhout & Philipp Kircher, 2011. "The Research Agenda: Jan Eeckhout and Philipp Kircher on Sorting in Macroeconomic Models," EconomicDynamics Newsletter, Review of Economic Dynamics, vol. 13(1), November.
    21. repec:hal:spmain:info:hdl:2441/5kmb4ke32h9ur9159sab6hvkck is not listed on IDEAS
    22. Alfred Galichon & Scott Kominers & Simon Weber, 2014. "An Empirical Framework for Matching with Imperfectly Transferable Utility," Working Papers hal-03460155, HAL.

    More about this item

    Keywords

    matching theory; networks; graphs;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

    Statistics

    Access and download statistics

    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:ces:ceswps:_5575. 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: Klaus Wohlrabe (email available below). General contact details of provider: https://edirc.repec.org/data/cesifde.html .

    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.