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The broker-optimal bilateral trading mechanisms with linear contracts

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  • Pan, Lijun
  • Wang, Dazhong

Abstract

We introduce a linear contract to the bilateral trading model with a broker in Myerson and Satterthwaite (Section 5, 1983). Among all the incentive-compatible and individually rational direct bilateral trading mechanisms, we provide a characterization of the broker-optimal direct bilateral trading mechanisms when the buyer makes a non-negative cash payment. In the optimal mechanism, the buyer makes zerocash payment, and shares equity with the seller. This mechanism enables the broker to gain higher profits than that in Myerson and Satterthwaite (1983). A dominant strategy implementation is also proposed. We also discuss the optimal mechanism when the buyer is allowed to be subsidized.

Suggested Citation

  • Pan, Lijun & Wang, Dazhong, 2021. "The broker-optimal bilateral trading mechanisms with linear contracts," Economics Letters, Elsevier, vol. 208(C).
    • Handle: RePEc:eee:ecolet:v:208:y:2021:i:c:s0165176521003323
    DOI: 10.1016/j.econlet.2021.110055
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    References listed on IDEAS

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    1. Yoon, Kiho, 2020. "Implementability with contingent contracts," Economics Letters, Elsevier, vol. 188(C).
    2. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
    3. Mark Bagnoli & Ted Bergstrom, 2006. "Log-concave probability and its applications," Studies in Economic Theory, in: Charalambos D. Aliprantis & Rosa L. Matzkin & Daniel L. McFadden & James C. Moore & Nicholas C. Yann (ed.), Rationality and Equilibrium, pages 217-241, Springer.
    4. Peter M. DeMarzo & Ilan Kremer & Andrzej Skrzypacz, 2005. "Bidding with Securities: Auctions and Security Design," American Economic Review, American Economic Association, vol. 95(4), pages 936-959, September.
    5. Rahul Deb & Debasis Mishra, 2014. "Implementation With Contingent Contracts," Econometrica, Econometric Society, vol. 82, pages 2371-2393, November.
    6. Bernhardt, Dan & Liu, Tingjun & Sogo, Takeharu, 2020. "Costly auction entry, royalty payments, and the optimality of asymmetric designs," Journal of Economic Theory, Elsevier, vol. 188(C).
    7. Sogo, Takeharu, 2017. "Effects of seller’s information disclosure in equity auctions requiring post-auction investment," International Journal of Industrial Organization, Elsevier, vol. 55(C), pages 166-181.
    8. Irwin Feller & Maryann Feldman, 2010. "The commercialization of academic patents: black boxes, pipelines, and Rubik’s cubes," The Journal of Technology Transfer, Springer, vol. 35(6), pages 597-616, December.
    9. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
    10. John G. Riley, 1988. "Ex Post Information in Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(3), pages 409-429.
    11. Liu, Tingjun, 2016. "Optimal equity auctions with heterogeneous bidders," Journal of Economic Theory, Elsevier, vol. 166(C), pages 94-123.
    12. Liu, Tingjun & Bernhardt, Dan, 2019. "Optimal equity auctions with two-dimensional types," Journal of Economic Theory, Elsevier, vol. 184(C).
    13. Kiho Yoon, 2020. "Bilateral trading with contingent contracts," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(2), pages 445-461, June.
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    More about this item

    Keywords

    Bilateral trading mechanism; Linear contract; Incentive-compatibility; Optimal mechanism; Implementation;
    All these keywords.

    JEL classification:

    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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