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Identification in Matching Games

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  • Jeremy T. Fox

Abstract

I study a many-to-many, two-sided, transferable-utility matching game. Consider data on matches or relationships between agents but not on the choice set of each agent. I investigate what economic parameters can be learned from data on equilibrium matches and agent characteristics. Features of a production function, which gives the surplus from a match, are nonparametrically identified. In particular, the ratios of complementarities from multiple pairs of inputs are identified. Also, the ordering of production levels is identified.

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  • Jeremy T. Fox, 2009. "Identification in Matching Games," NBER Working Papers 15092, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:15092
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    as
    1. repec:adr:anecst:y:1994:i:34 is not listed on IDEAS
    2. Federico Ciliberto & Elie Tamer, 2009. "Market Structure and Multiple Equilibria in Airline Markets," Econometrica, Econometric Society, vol. 77(6), pages 1791-1828, November.
    3. Gourieroux,Christian & Monfort,Alain, 1995. "Statistics and Econometric Models," Cambridge Books, Cambridge University Press, number 9780521471626.
    4. Dagsvik, John K, 2000. "Aggregation in Matching Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(1), pages 27-57, February.
    5. Matzkin, Rosa L, 1991. "Semiparametric Estimation of Monotone and Concave Utility Functions for Polychotomous Choice Models," Econometrica, Econometric Society, vol. 59(5), pages 1315-1327, September.
    6. Bernard Elyakime & Jean-Jacques Laffont & Patrice Loisel & Quang Vuong, 1994. "First-Price Sealed-Bid Auctions with Secret Reservation Prices," Annals of Economics and Statistics, GENES, issue 34, pages 71-114.
    7. Tjalling C. Koopmans & Martin J. Beckmann, 1955. "Assignment Problems and the Location of Economic Activities," Cowles Foundation Discussion Papers 4, Cowles Foundation for Research in Economics, Yale University.
    8. Donald Boyd & Hamilton Lankford & Susanna Loeb & James Wyckoff, 2003. "Analyzing the Determinants of the Matching Public School Teachers to Jobs: Estimating Compensating Differentials in Imperfect Labor Markets," NBER Working Papers 9878, National Bureau of Economic Research, Inc.
    9. Lewbel, Arthur, 2000. "Semiparametric qualitative response model estimation with unknown heteroscedasticity or instrumental variables," Journal of Econometrics, Elsevier, vol. 97(1), pages 145-177, July.
    10. Berry, Steven T, 1992. "Estimation of a Model of Entry in the Airline Industry," Econometrica, Econometric Society, vol. 60(4), pages 889-917, July.
    11. A. Pakes & J. Porter & Kate Ho & Joy Ishii, 2015. "Moment Inequalities and Their Application," Econometrica, Econometric Society, vol. 83, pages 315-334, January.
    12. Matzkin, Rosa L., 1993. "Nonparametric identification and estimation of polychotomous choice models," Journal of Econometrics, Elsevier, vol. 58(1-2), pages 137-168, July.
    13. Jacob Goeree & Charles Holt & Thomas Palfrey, 2005. "Regular Quantal Response Equilibrium," Experimental Economics, Springer;Economic Science Association, vol. 8(4), pages 347-367, December.
    14. Roth, Alvin E. & Sotomayor, Marilda, 1992. "Two-sided matching," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541 Elsevier.
    15. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    16. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
    17. 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..
    18. Michael Ostrovsky, 2008. "Stability in Supply Chain Networks," American Economic Review, American Economic Association, vol. 98(3), pages 897-923, June.
    19. Elie Tamer, 2003. "Incomplete Simultaneous Discrete Response Model with Multiple Equilibria," Review of Economic Studies, Oxford University Press, vol. 70(1), pages 147-165.
    20. Eugene Choo & Aloysius Siow, 2006. "Who Marries Whom and Why," Journal of Political Economy, University of Chicago Press, vol. 114(1), pages 175-201, February.
    21. Arie Beresteanu & Ilya Molchanov & Francesca Molinari, 2008. "Sharp identification regions in games," CeMMAP working papers CWP15/08, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    22. Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-872, August.
    23. Patrick Bajari & Han Hong & Stephen Ryan, 2004. "Identification and Estimation of Discrete Games of Complete Information," NBER Technical Working Papers 0301, National Bureau of Economic Research, Inc.
    24. Bresnahan, Timothy F & Reiss, Peter C, 1991. "Entry and Competition in Concentrated Markets," Journal of Political Economy, University of Chicago Press, vol. 99(5), pages 977-1009, October.
    25. John William Hatfield & Fuhito Kojima, 2008. "Matching with Contracts: Comment," American Economic Review, American Economic Association, vol. 98(3), pages 1189-1194, June.
    26. Sherwin Rosen, 1982. "Authority, Control, and the Distribution of Earnings," Bell Journal of Economics, The RAND Corporation, vol. 13(2), pages 311-323, Autumn.
    27. Robert E. Lucas Jr., 1978. "On the Size Distribution of Business Firms," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 508-523, Autumn.
    28. Marilda Sotomayor, 1999. "The lattice structure of the set of stable outcomes of the multiple partners assignment game," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(4), pages 567-583.
    29. Morten Sørensen, 2007. "How Smart Is Smart Money? A Two-Sided Matching Model of Venture Capital," Journal of Finance, American Finance Association, vol. 62(6), pages 2725-2762, December.
    30. Panle Jia, 2008. "What Happens When Wal-Mart Comes to Town: An Empirical Analysis of the Discount Retailing Industry," Econometrica, Econometric Society, vol. 76(6), pages 1263-1316, November.
    31. Denisa Mindruta, 2009. "Value creation in university-firm research collaborations: a matching approach," Post-Print hal-00496175, HAL.
    32. Nora Gordon & Brian Knight, 2006. "The Causes of Political Integration: An Application to School Districts," NBER Working Papers 12047, National Bureau of Economic Research, Inc.
    33. Leonard, Herman B, 1983. "Elicitation of Honest Preferences for the Assignment of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 461-479, June.
    34. Manski, Charles F., 1975. "Maximum score estimation of the stochastic utility model of choice," Journal of Econometrics, Elsevier, vol. 3(3), pages 205-228, August.
    35. Luis Garicano & Esteban Rossi-Hansberg, 2006. "Organization and Inequality in a Knowledge Economy," The Quarterly Journal of Economics, Oxford University Press, vol. 121(4), pages 1383-1435.
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    Cited by:

    1. Magnac, Thierry, 2018. "Quels étudiants pour quelles universités ? Analyses empiriques de mécanismes d'allocation centralisée," TSE Working Papers 18-899, Toulouse School of Economics (TSE).
    2. Raicho Bojilov & Alfred Galichon, 2016. "Matching in closed-form: equilibrium, identification, and comparative statics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(4), pages 587-609, April.
    3. Hatfield, John William & Kominers, Scott Duke, 2015. "Multilateral matching," Journal of Economic Theory, Elsevier, vol. 156(C), pages 175-206.
    4. Edwards, Ryan D. & Roff, Jennifer, 2016. "What mom and dad’s match means for junior: Marital sorting and child outcomes," Labour Economics, Elsevier, vol. 40(C), pages 43-56.
    5. Uetake, Kosuke & Watanabe, Yasutora, 2012. "A note on estimation of two-sided matching models," Economics Letters, Elsevier, vol. 116(3), pages 535-537.
    6. Bryan S. Graham, 2017. "An econometric model of network formation with degree heterogeneity," CeMMAP working papers CWP08/17, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    7. repec:eee:jetheo:v:172:y:2017:i:c:p:202-219 is not listed on IDEAS
    8. Donna, Javier & Schenone, Pablo & Veramendi, Gregory, 2015. "Networks, Frictions, and Price Dispersion," MPRA Paper 66999, University Library of Munich, Germany.
    9. Aloysius Siow, 2015. "Testing Becker's Theory of Positive Assortative Matching," Journal of Labor Economics, University of Chicago Press, vol. 33(2), pages 409-441.
    10. NAKAJIMA Kentaro, 2012. "Transactions as a Source of Agglomeration Economies: Buyer-seller matching in the Japanese manufacturing industry," Discussion papers 12021, Research Institute of Economy, Trade and Industry (RIETI).
    11. Jerez, Belén, 2016. "Competitive Search Equilibrium with Multidimensional Heterogeneity and Two-Sided Ex-ante Investments," UC3M Working papers. Economics 23566, Universidad Carlos III de Madrid. Departamento de Economía.
    12. Peter Arcidiacono & Andrew Beauchamp & Marjorie McElroy, 2016. "Terms of endearment: An equilibrium model of sex and matching," Quantitative Economics, Econometric Society, vol. 7(1), pages 117-156, March.
    13. Dupuy, Arnaud & Galichon, Alfred & Sun, Yifei, 2016. "Estimating Matching Affinity Matrix under Low-Rank Constraints," IZA Discussion Papers 10449, Institute for the Study of Labor (IZA).
    14. Dupuy, Arnaud & Galichon, Alfred, 2017. "A Note on the Estimation of Job Amenities and Labor Productivity," IZA Discussion Papers 10900, Institute for the Study of Labor (IZA).
    15. Nikhil Agarwal & Paulo Somaini, 2014. "Demand Analysis using Strategic Reports: An application to a school choice mechanism," NBER Working Papers 20775, National Bureau of Economic Research, Inc.
    16. repec:bla:stratm:v:38:y:2017:i:10:p:1964-1985 is not listed on IDEAS
    17. Miyauchi, Yuhei, 2016. "Structural estimation of pairwise stable networks with nonnegative externality," Journal of Econometrics, Elsevier, vol. 195(2), pages 224-235.
    18. Denisa Mindruta, 2013. "Value creation in university-firm research collaborations: A matching approach," Strategic Management Journal, Wiley Blackwell, vol. 34(6), pages 644-665, June.
    19. Tam'as Fleiner & Zsuzsanna Jank'o & Akihisa Tamura & Alexander Teytelboym, 2015. "Trading Networks with Bilateral Contracts," Papers 1510.01210, arXiv.org, revised Feb 2016.

    More about this item

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D4 - Microeconomics - - Market Structure, Pricing, and Design
    • L22 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Organization and Market Structure

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