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Marriage Matching and Intercorrelation of Preferences

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  • JAMES W. BOUDREAU
  • VICKI KNOBLAUCH

Abstract

Men's and women's preferences are intercorrelated to the extent that men rank highly those women who rank them highly. Intercorrelation plays an important but overlooked role in determining outcomes of matching mechanisms. We employ simulation techniques to quantify the effects of intercorrelated preferences on men's and women's aggregate satisfaction with the outcome of the Gale-Shapley matching mechanism. Our results show that even a small amount of positive intercorrelation in a matching market means increased satisfaction for women and dramatically decreased potential for strategic manipulation. Negative intercorrelation has the opposite effects. Thus, matching markets characterized by positive intercorrelation are well suited for matching via Gale-Shapley, while markets characterized by negative intercorrelation may face opposition from the nonproposing side of the market. So that our results are immediately applicable, we also define and employ a general measure of intercorrelation that can be used for any matching market. Copyright � 2010 Wiley Periodicals, Inc..

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Article provided by Association for Public Economic Theory in its journal Journal of Public Economic Theory.

Volume (Year): 12 (2010)
Issue (Month): 3 (06)
Pages: 587-602

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Handle: RePEc:bla:jpbect:v:12:y:2010:i:3:p:587-602

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  1. Alvin E. Roth & Elliott Peranson, 1999. "The Redesign of the Matching Market for American Physicians: Some Engineering Aspects of Economic Design," NBER Working Papers 6963, National Bureau of Economic Research, Inc.
  2. Pathak, Parag A. & Abdulkadiroglu, Atila & Roth, Alvin, 2005. "The New York City High School Match," Scholarly Articles 2562765, Harvard University Department of Economics.
  3. 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.
  4. Yan Chen & Tayfun Sönmez, 2004. "School Choice: An Experimental Study," Boston College Working Papers in Economics 622, Boston College Department of Economics.
  5. Ernan Haruvy & Alvin E. Roth & M. Utku Unver, 2004. "The Dynamics of Law Clerk Matching: An Experimental and Computational Investigation of Proposals for Reform of the Market," Experimental 0404001, EconWPA.
  6. Ehlers, Lars & Masso, Jordi, 2007. "Incomplete information and singleton cores in matching markets," Journal of Economic Theory, Elsevier, vol. 136(1), pages 587-600, September.
  7. Chung-Piaw Teo & Jay Sethuraman & Wee-Peng Tan, 2001. "Gale-Shapley Stable Marriage Problem Revisited: Strategic Issues and Applications," Management Science, INFORMS, vol. 47(9), pages 1252-1267, September.
  8. Onur B. Celik & Vicki Knoblauch, 2007. "Marriage Matching with Correlated Preferences," Working papers 2007-16, University of Connecticut, Department of Economics.
  9. Vicki Knoblauch, 2009. "Marriage matching and gender satisfaction," Social Choice and Welfare, Springer, vol. 32(1), pages 15-27, January.
  10. Tayfun Sonmez, 1999. "Strategy-Proofness and Essentially Single-Valued Cores," Econometrica, Econometric Society, vol. 67(3), pages 677-690, May.
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Cited by:
  1. James Boudreau & Vicki Knoblauch, 2013. "Preferences and the price of stability in matching markets," Theory and Decision, Springer, vol. 74(4), pages 565-589, April.
  2. Janine Balter & Michela Rancan & Olena Senyuta, 2014. "Truncation in the Matching Markets and Market Ineffciency," RSCAS Working Papers 2014/04, European University Institute.
  3. James Boudreau, 2008. "Preference Structure and Random Paths to Stability in Matching Markets," Economics Bulletin, AccessEcon, vol. 3(67), pages 1-12.
  4. Boudreau, James W. & Knoblauch, Vicki, 2014. "What price stability? Social welfare in matching markets," Mathematical Social Sciences, Elsevier, vol. 67(C), pages 27-33.
  5. Konrad, Kai A., 2013. "Affection, speed dating and heart breaking," Discussion Papers, Research Unit: Economics of Change SP II 2013-309, Social Science Research Center Berlin (WZB).

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