×

Estimating matching games with transfers. (English) Zbl 1395.91342

Summary: I explore the estimation of transferable utility matching games, encompassing many-to-many matching, marriage, and matching with trading networks (trades). Computational issues are paramount. I introduce a matching maximum score estimator that does not suffer from a computational curse of dimensionality in the number of agents in a matching market. I apply the estimator to data on the car parts supplied by automotive suppliers to estimate the valuations from different portfolios of parts to suppliers and automotive assemblers.

MSC:

91B68 Matching models
91A12 Cooperative games
Full Text: DOI

References:

[1] Agarwal, N. and W.Diamond (2017), “Latent indices in assortative matching models.” Quantitative Economics, 8 (3), 685-728. · Zbl 1396.91565
[2] Akkus, O., J. A.Cookson, and A.Hortacsu (2016), “The determinants of bank mergers: A revealed preference analysis.” Management Science, 62 (8), 2241-2258.
[3] Azevedo, E. M. and J. W.Hatfield (2015), “Existence of equilibrium in large matching markets with complementarities.” Working paper, University of Pennsylvania.
[4] Baccara, M., A.Imrohoroglu, A.Wilson, and L.Yariv (2012), “A field study on matching with network externalities.” American Economic Review, 102 (5), 1773-1804.
[5] Bajari, P., J. T.Fox, and S.Ryan (2008), “Evaluating wireless carrier consolidation using semiparametric demand estimation.” Quantitative Marketing and Economics, 6 (4), 299-338.
[6] Becker, G. S. (1973), “A theory of marriage: Part I.” Journal of Political Economy, July‐August, 81 (4), 813-846.
[7] Boyd, D., H.Lankford, S.Loeb, and J.Wyckoff (2013), “Analyzing the determinants of the matching public school teachers to jobs: Estimating compensating differentials in imperfect labor markets.” Journal of Labor Economics, 31 (1), 83-117.
[8] Briesch, R. A., P. C.Chintagunta, and R. L.Matzkin (2002), “Semiparametric estimation of brand choice behavior.” Journal of the American Statistical Association, 97 (460), 973-982. · Zbl 1048.62035
[9] Chiappori, P.‐A. and B.Salanié (2016), “The econometrics of matching models.” Journal of Economic Literature, 54 (3), 832-861.
[10] Chiappori, P.‐A., B.Salanié, and Y.Weiss (2017), “Partner choice, investment in children, and the marital college premium.” American Economic Review, 107 (8), 2109-2167.
[11] Choo, E. and A.Siow (2006), “Who marries whom and why.” The Journal of Political Economy, 114 (1), 175-201.
[12] Ciliberto, F. and E.Tamer (2009), “Market structure and multiple equilibria in airline markets.” Econometrica, 77 (6), 1791-1828.
[13] Dagsvik, J. K. (2000), “Aggregation in matching markets.” International Economic Review, 41 (1), 27-57.
[14] Delgado, M. A., J. M.Rodriguez‐Poo, and M.Wolf (2001), “Subsampling inference in cube root asymptotics with an application to Manski”s maximum score estimator.” Economics Letters, 73 (2), 241-250. · Zbl 1056.91546
[15] Dupuy, A. and A.Galichon (2014), “Personality traits and the marriage market.” Journal of Political Economy, 122 (6), 1271-1319.
[16] Dyer, J. H. (1996), “Specialized supplier networks as a source of competitive advantage: Evidence from the auto industry.” Strategic Management Journal, 17 (4), 271-291.
[17] Dyer, J. H. (1997), “Effective interim collaboration: How firms minimize transaction costs and maximise transaction value.” Strategic Management Journal, 18 (7), 535-556.
[18] Ekeland, I., J. J.Heckman, and L.Nesheim (2004), “Identification and estimation of hedonic models.” Journal of Political Economy, 112 (S1), 60-109.
[19] Fox, J. T. (2007), “Semiparametric estimation of multinomial discrete‐choice models using a subset of choices.” RAND Journal of Economics, Winter, 38 (4), 1002-1019.
[20] Fox, J. T. (2010), “Identification in matching games.” Quantitative Economics, 1 (2), 203-254. · Zbl 1204.91076
[21] Fox, J. T. and P.Bajari (2013), “Measuring the efficiency of an FCC spectrum auction.” American Economic Journal: Microeconomics, 5 (1), 100-146.
[22] Fox, J. T., C.Yang, and D.Hsu (forthcoming). “Unobserved heterogeneity in matching games.” Journal of Political Economy.
[23] Gale, D. (1960), The Theory of Linear Economic Models. McGraw‐Hill, New York.
[24] Galichon, A. and B.Salanié (2015), “Cupid”s invisible hand: Cupid’s invisible hand: Social surplus and identification in matching models.” Working paper, New York University.
[25] Goeree, J. K., C. A.Holt, and T. R.Palfrey (2005), “Regular quantal response equilibrium.” Experimental Economics, 8, 347-367. · Zbl 1108.91313
[26] Graham, B. S. (2011), “Econometric methods for the analysis of assignment problems in the presence of complementarity and social spillovers.” In Handbook of Social Economics (J.Benhabib (ed.), A.Bisin (ed.), and M.Jackson (ed.), eds.). Elsevier. Chapter 19.
[27] Graham, B. S. (2013), “Errata in “Econometric Methods for the Analysis of Assignment Problems in the Presence of Complementarity and Social Spillovers”.” Online erratum.
[28] Han, A. K. (1987), “Non‐parametric analysis of a generalized regression model.” Journal of Econometrics, 35, 303-316. · Zbl 0638.62063
[29] Hatfield, J. M., S. D.Kominers, A.Nichifor, M.Ostrovsky, and A.Westkamp (2013), “Stability and competitive equilibrium in trading networks.” Journal of Political Economy, 121 (5), 966-1005.
[30] Hatfield, J. W. and P. R.Milgrom (2005), “Matching with contracts.” American Economic Review, 95 (4), 913-935.
[31] Heckman, J. J., R. L.Matzkin, and L.Nesheim (2010), “Nonparametric identification and estimation of nonadditive hedonic models.” Econometrica, 78 (5), 1569-1591. · Zbl 1200.91252
[32] Horowitz, J. L. (1992), “A smoothed maximum score estimator for the binary response model.” Econometrica, 60 (3), 505-551. · Zbl 0761.62166
[33] Kamath, R. R. and J. K.Liker (1994), “A second look at Japanese product development.” Harvard Business Review, November‐December.
[34] Kim, J. and D.Pollard (1990), “Cube root asymptotics.” The Annals of Statistics, 18 (1), 191-219. · Zbl 0703.62063
[35] Klier, T. and J.Rubenstein (2008), Who Really Made Your Car? Restructuring and Geographic Change in the Auto Industry. Upjohn Institute.
[36] Koopmans, T. C. and M.Beckmann (1957), “Assignment problems and the location of economic activities.” Econometrica, 25 (1), 53-76. · Zbl 0098.12203
[37] Langfield‐Smith, K. and M. R.Greenwood (1998), “Developing co‐operative buyer‐supplier relationships: A case study of Toyota.” Journal of Management Studies, 35 (3), 331-353.
[38] Liker, J. K. and Y.‐C.Wu (2000), “Japanese Automakers, U.S. Suppliers and Supply‐Chain Superiority.” Sloan Management Review, Fall.
[39] Manski, C. F. (1975), “Maximum score estimation of the stochastic utility model of choice.” Journal of Econometrics, 3 (3), 205-228. · Zbl 0307.62068
[40] Manski, C. F. (1985), “Semiparametric analysis of discrete response: Asymptotic properties of the maximum score estimator.” Journal of Econometrics, 27 (3), 313-333. · Zbl 0567.62096
[41] Matzkin, R. L. (1993), “Nonparametric identification and estimation of polychotomous choice models.” Journal of Econometrics, 58, 137-168. · Zbl 0780.62030
[42] McFadden, D. (1973), “Conditional logit analysis of qualitative choice behavior.” In Frontiers in Econometrics, 105-142.
[43] McFadden, D. L. (1989), “A method of simulated moments for estimation of discrete response models without numerical integration.” Econometrica, 57 (5), 995-1026. · Zbl 0679.62101
[44] Menzel, K. (2015), “Large matching markets as two‐sided demand systems.” Econometrica, 83 (3), 897-941. · Zbl 1419.91533
[45] Mindruta, D., M.Moeen, and R.Agarwal (2016), “A two‐sided matching approach for partner selection and assessing complementarities in partners” attributes in inter‐firm alliances.” Strategic Management Journal, 37 (1), 206-231.
[46] Monteverde, K. and D. J.Teece (1982), “Supplier switching costs and vertical integration in the automobile industry.” The Bell Journal of Economics, 13 (1), 206-213.
[47] Newey, W. K. and D.McFadden (1994), “Large sample estimation and hypothesis testing.” In Handbook of Econometrics, Vol. 4, 2111-2245, Elsevier.
[48] Novak, S. and S. D.Eppinger (2001), “Sourcing by design: Product complexity and the supply chain.” Management Science, 47 (1), 189-204.
[49] Novak, S. and S.Stern (2008), “How does outsourcing affect performance dynamics? Evidence from the automobile industry.” Management Science, 54 (12), 1963-1979.
[50] Novak, S. and S.Stern (2009), “Complementarity among vertical integration decisions: Evidence from automobile product development.” Management Science, 55 (2), 311-332.
[51] Novak, S. and B.Wernerfelt (2012), “On the grouping of tasks into firms: Make‐or‐buy with interdependent parts.” Journal of Economics and Management Strategy, 21 (1), 53-77.
[52] Pakes, A. and D.Pollard (1989), “Simulation and the asymptotics of optimization estimators.” Econometrica, 57 (5), 1027-1057. · Zbl 0698.62031
[53] Romano, J. P. and A. M.Shaikh (2008), “Inference for identifiable parameters in partially identified econometric models.” Journal of Statistical Planning and Inference, 138 (9), 2786-2807. · Zbl 1141.62096
[54] Romano, J. P. and A. M.Shaikh (2010), “Inference for the identified set in partially identified econometric models.” Econometrica, 78 (1), 169-211. · Zbl 1185.62198
[55] Rosen, S. (1974), “Hedonic prices and implicit markets: Product differentiation in pure competition.” Journal of Political Economy, 82 (1), 34-55.
[56] Santiago, D. and J. T.Fox (2009), “A toolkit for matching maximum score estimation and point and set identified subsampling inference.” Working paper, Rice University.
[57] Shapley, L. S. and M.Shubik (1972), “The assignment game I: The core.” International Journal of Game Theory, 1, 111-130. · Zbl 0236.90078
[58] Sherman, R. P. (1993), “The limiting distribution of the maximum rank correlation estimation.” Econometrica, 61 (1), 123-137. · Zbl 0773.62011
[59] Sørensen, M. (2007), “How smart is smart money? A two‐sided matching model of venture capital.” Journal of Finance, LXII (6), 2725-2762.
[60] Subbotin, V. (2007), “Asymptotic and bootstrap properties of rank regressions.” Working paper, Northwestern University.
[61] Uetake, K. and Y.Watanabe (2016), “Entry by merger: Estimates from a two‐sided matching model with externalities.” Working paper, Yale University.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.