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Selling Multiple Complements with Packaging Costs

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  • Simon Finster

Abstract

I consider a package assignment problem where multiple units of indivisible items are allocated among individuals. The seller specifies allocation preferences as cost savings on packages. I propose a social welfare maximising, sealed-bid auction with a novel cost function graph to express seller preferences. It facilitates the use of linear programming to find anonymous, competitive, package-linear prices. If agents bid truthfully, these prices support a Walrasian equilibrium. I provide necessary and sufficient conditions, and additional sufficient conditions, for the existence of Walrasian equilibria. The auction guarantees fair and transparent pricing and admits preferences over the market concentration.

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  • Simon Finster, 2023. "Selling Multiple Complements with Packaging Costs," Papers 2306.14247, arXiv.org.
    • Handle: RePEc:arx:papers:2306.14247
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    References listed on IDEAS

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    1. Stoneham, Gary & Chaudhri, Vivek & Ha, Arthur & Strappazzon, Loris, 2003. "Auctions for conservation contracts: an empirical examination of Victoria’s BushTender trial," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 47(4), pages 1-24.
    2. Bichler, Martin & Schneider, Stefan & Guler, Kemal & Sayal, Mehmet, 2011. "Compact bidding languages and supplier selection for markets with economies of scale and scope," European Journal of Operational Research, Elsevier, vol. 214(1), pages 67-77, October.
    3. Gharad Bryan & Jonathan de Quidt & Tom Wilkening & Nitin Yadav, 2017. "Land Trade and Development: A Market Design Approach," CESifo Working Paper Series 6557, CESifo.
    4. Gary Stoneham & Vivek Chaudhri & Arthur Ha & Loris Strappazzon, 2003. "Auctions for conservation contracts: an empirical examination of Victoria's BushTender trial," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 47(4), pages 477-500, December.
    5. Danilov, Vladimir & Koshevoy, Gleb & Murota, Kazuo, 2001. "Discrete convexity and equilibria in economies with indivisible goods and money," Mathematical Social Sciences, Elsevier, vol. 41(3), pages 251-273, May.
    6. Ning Sun & Zaifu Yang, 2014. "An Efficient and Incentive Compatible Dynamic Auction for Multiple Complements," Journal of Political Economy, University of Chicago Press, vol. 122(2), pages 422-466.
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