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Mechanisms for a spatially distributed market

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  • Babaioff, Moshe
  • Nisan, Noam
  • Pavlov, Elan

Abstract

We consider the problem of a spatially distributed market with strategic agents. A single good is traded in a set of independent markets, where shipment between markets is possible but costly. The problem has previously been studied in the non-strategic case, in which it can be analyzed and solved as a min-cost-flow problem. We consider the case where buyers and sellers are strategic. Our first result gives a double characterization of the VCG prices, first as distances in a certain residue graph and second as the minimal (for buyers) and maximal (for sellers) equilibrium prices. This provides a computationally efficient, individually rational and incentive compatible welfare maximizing mechanism. This mechanism is, necessarily, not budget balanced and we also provide a budget-balanced mechanism (which is also computationally efficient, incentive compatible and individually rational) that achieves high welfare. Finally, we present results for some extensions of the model.

Suggested Citation

  • Babaioff, Moshe & Nisan, Noam & Pavlov, Elan, 2009. "Mechanisms for a spatially distributed market," Games and Economic Behavior, Elsevier, vol. 66(2), pages 660-684, July.
    • Handle: RePEc:eee:gamebe:v:66:y:2009:i:2:p:660-684
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    4. Dütting, Paul & Talgam-Cohen, Inbal & Roughgarden, Tim, 2017. "Modularity and greed in double auctions," Games and Economic Behavior, Elsevier, vol. 105(C), pages 59-83.
    5. Dütting, Paul & Talgam-Cohen, Inbal & Roughgarden, Tim, 2017. "Modularity and greed in double auctions," LSE Research Online Documents on Economics 83199, London School of Economics and Political Science, LSE Library.
    6. John Birge & Ozan Candogan & Hongfan Chen & Daniela Saban, 2021. "Optimal Commissions and Subscriptions in Networked Markets," Manufacturing & Service Operations Management, INFORMS, vol. 23(3), pages 569-588, May.
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    8. Yu, Hao & Huang, Min & Chao, Xiuli & Yue, Xiaohang, 2022. "Truthful multi-attribute multi-unit double auctions for B2B e-commerce logistics service transactions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 164(C).
    9. Moshe Babaioff & Kira Goldner & Yannai A. Gonczarowski, 2019. "Bulow-Klemperer-Style Results for Welfare Maximization in Two-Sided Markets," Papers 1903.06696, arXiv.org, revised Dec 2019.

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