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On the expressiveness of assignment messages

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  • Fichtl, Maximilian

Abstract

In this note we prove that the class of valuation functions representable via integer assignment messages is a proper subset of strong substitutes valuations. Thus, there are strong substitutes valuations not expressible via assignment messages.

Suggested Citation

  • Fichtl, Maximilian, 2021. "On the expressiveness of assignment messages," Economics Letters, Elsevier, vol. 208(C).
    • Handle: RePEc:eee:ecolet:v:208:y:2021:i:c:s0165176521003281
    DOI: 10.1016/j.econlet.2021.110051
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    References listed on IDEAS

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    1. Paul Milgrom, 2009. "Assignment Messages and Exchanges," American Economic Journal: Microeconomics, American Economic Association, vol. 1(2), pages 95-113, August.
    2. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
    3. Elizabeth Baldwin & Paul Klemperer, 2019. "Understanding Preferences: “Demand Types”, and the Existence of Equilibrium With Indivisibilities," Econometrica, Econometric Society, vol. 87(3), pages 867-932, May.
    4. Paul Klemperer, 2010. "The Product-Mix Auction: A New Auction Design for Differentiated Goods," Journal of the European Economic Association, MIT Press, vol. 8(2-3), pages 526-536, 04-05.
    5. Milgrom, Paul & Strulovici, Bruno, 2009. "Substitute goods, auctions, and equilibrium," Journal of Economic Theory, Elsevier, vol. 144(1), pages 212-247, January.
    6. Ostrovsky, Michael & Paes Leme, Renato, 2015. "Gross substitutes and endowed assignment valuations," Theoretical Economics, Econometric Society, vol. 10(3), September.
    7. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
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