IDEAS home Printed from https://ideas.repec.org/a/aea/aecrev/v114y2024i8p2596-2632.html
   My bibliography  Save this article

Buying from a Group

Author

Listed:
  • Nima Haghpanah
  • Aditya Kuvalekar
  • Elliot Lipnowski

Abstract

A buyer procures a good owned by a group of sellers whose heterogeneous cost of trade is private information. The buyer must either buy the whole good or nothing, and sellers share the transfer in proportion to their share of the good. We characterize the optimal mechanism: trade occurs if and only if the buyer's benefit of trade exceeds a weighted average of sellers' virtual costs. These weights are endogenous, with sellers who are ex ante less inclined to trade receiving higher weight. This mechanism always outperforms posted-price mechanisms. An extension characterizes the entire Pareto frontier.

Suggested Citation

  • Nima Haghpanah & Aditya Kuvalekar & Elliot Lipnowski, 2024. "Buying from a Group," American Economic Review, American Economic Association, vol. 114(8), pages 2596-2632, August.
  • Handle: RePEc:aea:aecrev:v:114:y:2024:i:8:p:2596-2632
    DOI: 10.1257/aer.20230914
    as

    Download full text from publisher

    File URL: https://www.aeaweb.org/doi/10.1257/aer.20230914
    Download Restriction: no

    File URL: https://www.aeaweb.org/doi/10.1257/aer.20230914.appx
    Download Restriction: no

    File URL: https://www.aeaweb.org/doi/10.1257/aer.20230914.ds
    Download Restriction: Access to full text is restricted to AEA members and institutional subscribers.

    File URL: https://libkey.io/10.1257/aer.20230914?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Schmitz, Patrick W. & Tröger, Thomas, 2012. "The (sub-)optimality of the majority rule," Games and Economic Behavior, Elsevier, vol. 74(2), pages 651-665.
    2. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, April.
    3. Sanford J. Grossman & Oliver D. Hart, 1980. "Takeover Bids, the Free-Rider Problem, and the Theory of the Corporation," Bell Journal of Economics, The RAND Corporation, vol. 11(1), pages 42-64, Spring.
    4. Chawla, Shuchi & Malec, David & Sivan, Balasubramanian, 2015. "The power of randomness in Bayesian optimal mechanism design," Games and Economic Behavior, Elsevier, vol. 91(C), pages 297-317.
    5. Rae, Douglas W., 1969. "Decision-Rules and Individual Values in Constitutional Choice," American Political Science Review, Cambridge University Press, vol. 63(1), pages 40-56, March.
    6. Rob, Rafael, 1989. "Pollution claim settlements under private information," Journal of Economic Theory, Elsevier, vol. 47(2), pages 307-333, April.
    7. Lawrence M. Ausubel & Peter Cramton & Marek Pycia & Marzena Rostek & Marek Weretka, 2014. "Demand Reduction and Inefficiency in Multi-Unit Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(4), pages 1366-1400.
    8. Yaron Azrieli & Semin Kim, 2014. "Pareto Efficiency And Weighted Majority Rules," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(4), pages 1067-1088, November.
    9. John Riley & Richard Zeckhauser, 1983. "Optimal Selling Strategies: When to Haggle, When to Hold Firm," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(2), pages 267-289.
    10. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    11. Makowski Louis & Mezzetti Claudio, 1994. "Bayesian and Weakly Robust First Best Mechanisms: Characterizations," Journal of Economic Theory, Elsevier, vol. 64(2), pages 500-519, December.
    12. Hagerty, Kathleen M. & Rogerson, William P., 1987. "Robust trading mechanisms," Journal of Economic Theory, Elsevier, vol. 42(1), pages 94-107, June.
    13. Abhijit Banerjee, 1999. "Land Reforms: Prospects and Strategies," Working papers 99-24, Massachusetts Institute of Technology (MIT), Department of Economics.
    14. Yaron Azrieli & Semin Kim, 2014. "Pareto Efficiency And Weighted Majority Rules," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55, pages 1067-1088, November.
    15. George J. Mailath & Andrew Postlewaite, 1990. "Asymmetric Information Bargaining Problems with Many Agents," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(3), pages 351-367.
    16. Timur Kuran, 2004. "Why the Middle East is Economically Underdeveloped: Historical Mechanisms of Institutional Stagnation," Journal of Economic Perspectives, American Economic Association, vol. 18(3), pages 71-90, Summer.
    17. Gandhi, Sahil & Tandel, Vaidehi & Tabarrok, Alexander & Ravi, Shamika, 2021. "Too slow for the urban march: Litigations and the real estate market in Mumbai, India," Journal of Urban Economics, Elsevier, vol. 123(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Schmitz, Patrick W. & Sliwka, Dirk, 1998. "Die Bedeutung von privater Information für Vertragsbeziehungen zwischen Käufern und Verkäufern," MPRA Paper 6941, University Library of Munich, Germany.
    2. Bierbrauer, Felix & Winkelmann, Justus, 2020. "All or nothing: State capacity and optimal public goods provision," Journal of Economic Theory, Elsevier, vol. 185(C).
    3. Pérez-Nievas, Mikel, 2000. "Interim efficient allocation mechanisms," UC3M Working papers. Economics 7220, Universidad Carlos III de Madrid. Departamento de Economía.
    4. Alex Gershkov & Benny Moldovanu & Xianwen Shi, 2017. "Optimal Voting Rules," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(2), pages 688-717.
    5. Kwiek, Maksymilian, 2014. "Efficient voting with penalties," Discussion Paper Series In Economics And Econometrics 1419, Economics Division, School of Social Sciences, University of Southampton.
    6. Loertscher, Simon & Marx, Leslie M., 2017. "Club good intermediaries," International Journal of Industrial Organization, Elsevier, vol. 50(C), pages 430-459.
    7. Peter Norman, 2004. "Efficient Mechanisms for Public Goods with Use Exclusions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(4), pages 1163-1188.
    8. Alex Gershkov & Benny Moldovanu & Xianwen Shi, 2013. "Optimal Mechanism Design without Money," Working Papers tecipa-481, University of Toronto, Department of Economics.
    9. Kwiek, Maksymilian, 2017. "Efficient voting with penalties," Games and Economic Behavior, Elsevier, vol. 104(C), pages 468-485.
    10. Choi, Jaewon & Kim, Taesung, 1999. "A Nonparametric, Efficient Public Good Decision Mechanism: Undominated Bayesian Implementation," Games and Economic Behavior, Elsevier, vol. 27(1), pages 64-85, April.
    11. Vijay Krishna & Motty Perry, 1997. "Efficient Mechanism Design," Game Theory and Information 9703010, University Library of Munich, Germany, revised 28 Apr 1998.
    12. Hanming Fang & Peter Norman, 2014. "Toward an efficiency rationale for the public provision of private goods," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 375-408, June.
    13. Loertscher, Simon & Mezzetti, Claudio, 2021. "A dominant strategy, double clock auction with estimation-based tatonnement," Theoretical Economics, Econometric Society, vol. 16(3), July.
    14. Pivato, Marcus, 2015. "Condorcet meets Bentham," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 58-65.
    15. Jeong, Daeyoung & Kim, Semin, 2023. "Stable constitutions," Games and Economic Behavior, Elsevier, vol. 142(C), pages 794-811.
    16. Kosenok, Grigory & Severinov, Sergei, 2008. "Individually rational, budget-balanced mechanisms and allocation of surplus," Journal of Economic Theory, Elsevier, vol. 140(1), pages 126-161, May.
    17. Ledyard, John O. & Palfrey, Thomas R., 2007. "A general characterization of interim efficient mechanisms for independent linear environments," Journal of Economic Theory, Elsevier, vol. 133(1), pages 441-466, March.
    18. Ehlers, Lars & Majumdar, Dipjyoti & Mishra, Debasis & Sen, Arunava, 2020. "Continuity and incentive compatibility in cardinal mechanisms," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 31-41.
    19. V. V. Chari & Harold L. Cole, 1993. "A contribution to the theory of pork barrel spending," Staff Report 156, Federal Reserve Bank of Minneapolis.
    20. Rong, Kang, 2014. "Proportional individual rationality and the provision of a public good in a large economy," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 187-196.

    More about this item

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • Q15 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Land Ownership and Tenure; Land Reform; Land Use; Irrigation; Agriculture and Environment
    • Q24 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Land

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:aea:aecrev:v:114:y:2024:i:8:p:2596-2632. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Michael P. Albert (email available below). General contact details of provider: https://edirc.repec.org/data/aeaaaea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.