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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..

Suggested Citation

  • James W. Boudreau & Vicki Knoblauch, 2010. "Marriage Matching and Intercorrelation of Preferences," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(3), pages 587-602, June.
  • Handle: RePEc:bla:jpbect:v:12:y:2010:i:3:p:587-602
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    References listed on IDEAS

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    1. Atila Abdulkadiroğlu & Parag A. Pathak & Alvin E. Roth, 2005. "The New York City High School Match," American Economic Review, American Economic Association, vol. 95(2), pages 364-367, May.
    2. Roth,Alvin E. & Sotomayor,Marilda A. Oliveira, 1992. "Two-Sided Matching," Cambridge Books, Cambridge University Press, number 9780521437882.
    3. Tayfun Sonmez, 1999. "Strategy-Proofness and Essentially Single-Valued Cores," Econometrica, Econometric Society, vol. 67(3), pages 677-690, May.
    4. Haruvy, Ernan & Roth, Alvin E. & Unver, M. Utku, 2006. "The dynamics of law clerk matching: An experimental and computational investigation of proposals for reform of the market," Journal of Economic Dynamics and Control, Elsevier, vol. 30(3), pages 457-486, March.
    5. Caldarelli, G. & Capocci, A., 2001. "Beauty and distance in the stable marriage problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 300(1), pages 325-331.
    6. Chen, Yan & Sonmez, Tayfun, 2006. "School choice: an experimental study," Journal of Economic Theory, Elsevier, vol. 127(1), pages 202-231, March.
    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. 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.
    9. Elliott Peranson & Alvin E. Roth, 1999. "The Redesign of the Matching Market for American Physicians: Some Engineering Aspects of Economic Design," American Economic Review, American Economic Association, vol. 89(4), pages 748-780, September.
    10. Onur B. Celik & Vicki Knoblauch, 2007. "Marriage Matching with Correlated Preferences," Working papers 2007-16, University of Connecticut, Department of Economics.
    11. Mongell, Susan & Roth, Alvin E, 1991. "Sorority Rush as a Two-Sided Matching Mechanism," American Economic Review, American Economic Association, vol. 81(3), pages 441-464, June.
    12. Vicki Knoblauch, 2009. "Marriage matching and gender satisfaction," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(1), pages 15-27, January.
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    Cited by:

    1. James Boudreau, 2008. "Preference Structure and Random Paths to Stability in Matching Markets," Economics Bulletin, AccessEcon, vol. 3(67), pages 1-12.
    2. Boudreau, James W. & Knoblauch, Vicki, 2014. "What price stability? Social welfare in matching markets," Mathematical Social Sciences, Elsevier, vol. 67(C), pages 27-33.
    3. Kai Konrad, 2015. "Affection, speed dating and heartbreaking," Journal of Population Economics, Springer;European Society for Population Economics, vol. 28(1), pages 159-172, January.
    4. 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.
    5. 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.
    6. Joana Pais & Ágnes Pintér & Róbert F. Veszteg, 2017. "Decentralized Matching Markets With(out) Frictions: A Laboratory Experiment," Working Papers REM 2017/03, ISEG - Lisbon School of Economics and Management, REM, Universidade de Lisboa.
    7. Janine Balter & Michela Rancan & Olena Senyuta, 2014. "Truncation in the Matching Markets and Market Ineffciency," RSCAS Working Papers 2014/04, European University Institute.
    8. repec:spr:jeicoo:v:13:y:2018:i:3:d:10.1007_s11403-017-0198-z is not listed on IDEAS

    More about this item

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

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