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Pricing and Investments in Matching Markets

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  • George J. Mailath
  • Andrew Postlewaite
  • Larry Samuelson

Abstract

Different markets are cleared by different types of prices -- seller-specific prices that are uniform across buyers in some markets, and personalized prices tailored to the buyer in others. We examine a setting in which buyers and sellers make investments before matching in a competitive market. We introduce the notion of premuneration values -- the values to the transacting agents prior to any transfers -- created by a buyer-seller match. Personalized price equilibrium outcomes are independent of premuneration values and exhibit inefficiencies only in the event of "coordination failures," while uniform-price equilibria depend on premuneration values and in general feature inefficient investments even without coordination failures. There is thus a trade-off between the costs of personalizing prices and the inefficient investments under uniform prices. We characterize the premuneration values under which uniform-price equilibria similarly exhibit inefficiencies only in the event of coordination failures.
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Suggested Citation

  • George J. Mailath & Andrew Postlewaite & Larry Samuelson, 2011. "Pricing and Investments in Matching Markets," Levine's Working Paper Archive 786969000000000162, David K. Levine.
  • Handle: RePEc:cla:levarc:786969000000000162
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    Cited by:

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    3. Nei, Stephen & Pakzad-Hurson, Bobak, 2021. "Strategic disaggregation in matching markets," Journal of Economic Theory, Elsevier, vol. 197(C).
    4. George J. Mailath & Andrew Postlewaite & Larry Samuelson, 2017. "Premuneration Values and Investments in Matching Markets," Economic Journal, Royal Economic Society, vol. 127(604), pages 2041-2065, September.
    5. Amit Basu & Sreekumar Bhaskaran & Rajiv Mukherjee, 2019. "An Analysis of Search and Authentication Strategies for Online Matching Platforms," Management Science, INFORMS, vol. 67(5), pages 2412-2431, May.
    6. Seungjin Han, 2019. "Pre-Match Investment Competition with Bounded Transfers," Department of Economics Working Papers 2019-01, McMaster University.
    7. Kohei Kawamura & József Sákovics, 2014. "Spillovers of Equal Treatment in Wage Offers," Scottish Journal of Political Economy, Scottish Economic Society, vol. 61(5), pages 487-501, November.
    8. Sákovics, József, 2014. "Price formation in a matching market with targeted offers," Games and Economic Behavior, Elsevier, vol. 87(C), pages 161-177.
    9. Alston, Max, 2020. "On the non-existence of stable matches with incomplete information," Games and Economic Behavior, Elsevier, vol. 120(C), pages 336-344.
    10. Bhaskar, Venkataraman, 2015. "The Demographic Transition and the Position of Women: A Marriage Market Perspective," CEPR Discussion Papers 10619, C.E.P.R. Discussion Papers.
    11. Jerez, Belén, 2017. "Competitive search equilibrium with multidimensional heterogeneity and two-sided ex-ante investments," Journal of Economic Theory, Elsevier, vol. 172(C), pages 202-219.
    12. Elliott, M. & Talamàs, E., 2020. "Bargaining Foundations for Price Taking in Matching Markets," Cambridge Working Papers in Economics 2070, Faculty of Economics, University of Cambridge.
    13. Mangin, Sephorah & Julien, Benoît, 2021. "Efficiency in search and matching models: A generalized Hosios condition," Journal of Economic Theory, Elsevier, vol. 193(C).
    14. Hatfield, John William & Kojima, Fuhito & Narita, Yusuke, 2016. "Improving schools through school choice: A market design approach," Journal of Economic Theory, Elsevier, vol. 166(C), pages 186-211.
    15. Thomas Gall, 2017. "Surplus efficiency of ex ante investments in matching markets with nontransferabilities," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(1), pages 51-78, March.
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    17. Guillem Roig, 2022. "The value of investment in nonexclusive contracts," Economic Inquiry, Western Economic Association International, vol. 60(3), pages 1018-1037, July.
    18. Dizdar, Deniz & Moldovanu, Benny, 2016. "On the importance of uniform sharing rules for efficient matching," Journal of Economic Theory, Elsevier, vol. 165(C), pages 106-123.
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    20. Azevedo, Eduardo M., 2014. "Imperfect competition in two-sided matching markets," Games and Economic Behavior, Elsevier, vol. 83(C), pages 207-223.
    21. Tomoeda, Kentaro, 2019. "Efficient investments in the implementation problem," Journal of Economic Theory, Elsevier, vol. 182(C), pages 247-278.
    22. Zhang, Hanzhe, 2020. "Pre-matching gambles," Games and Economic Behavior, Elsevier, vol. 121(C), pages 76-89.
    23. Trégouët, Thomas, 2015. "Gender-based price discrimination in matching markets," International Journal of Industrial Organization, Elsevier, vol. 42(C), pages 34-45.
    24. Kircher, Philipp & Kim, Kyungmin, 2012. "Efficient Cheap Talk in Directed Search: On the Non-essentiality of Commitment in Market Games," CEPR Discussion Papers 8759, C.E.P.R. Discussion Papers.
    25. Xavier Lambin & Joachim Schleich & Corinne Faure, 2023. "The Energy Efficiency Gap in the Rental Housing Market: It Takes Both Sides to Build a Bridge," The Energy Journal, , vol. 44(1), pages 75-92, January.

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    More about this item

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D40 - Microeconomics - - Market Structure, Pricing, and Design - - - General
    • D41 - Microeconomics - - Market Structure, Pricing, and Design - - - Perfect Competition
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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