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Efficient sequential assignment with incomplete information

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  • Gershkov, Alex
  • Moldovanu, Benny

Abstract

We study the welfare maximizing assignment of several heterogeneous, commonly ranked objects to impatient agents with privately known characteristics who arrive sequentially according to a Poisson or renewal process. There is a deadline after which no more objects can be allocated. We first show that the dynamically efficient allocation, characterized by Albright [Albright, S.C., 1974. Optimal sequential assignments with random arrival times. Manage. Sci. 21 (1), 60-67], is implementable by the dynamic version of VCG mechanism. We then obtain several properties of the welfare maximizing policy using stochastic dominance measures of increased variability and majorization arguments. We also propose redistribution mechanisms that 1) implement the efficient allocation, 2) satisfy individual rationality, 3) never run a budget deficit, 4) may run a budget surplus that vanishes asymptotically.

Suggested Citation

  • Gershkov, Alex & Moldovanu, Benny, 2010. "Efficient sequential assignment with incomplete information," Games and Economic Behavior, Elsevier, vol. 68(1), pages 144-154, January.
  • Handle: RePEc:eee:gamebe:v:68:y:2010:i:1:p:144-154
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    References listed on IDEAS

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    1. Dirk Bergemann & Juuso Valimaki, 2006. "Efficient Dynamic Auctions," Cowles Foundation Discussion Papers 1584, Cowles Foundation for Research in Economics, Yale University.
    2. Susan Athey & Ilya Segal, 2013. "An Efficient Dynamic Mechanism," Econometrica, Econometric Society, vol. 81(6), pages 2463-2485, November.
    3. S. Christian Albright, 1974. "Optimal Sequential Assignments with Random Arrival Times," Management Science, INFORMS, vol. 21(1), pages 60-67, September.
    4. Yokoo, Makoto & Sakurai, Yuko & Matsubara, Shigeo, 2004. "The effect of false-name bids in combinatorial auctions: new fraud in internet auctions," Games and Economic Behavior, Elsevier, vol. 46(1), pages 174-188, January.
    5. Moulin, Hervé, 2009. "Almost budget-balanced VCG mechanisms to assign multiple objects," Journal of Economic Theory, Elsevier, vol. 144(1), pages 96-119, January.
    6. Guo, Mingyu & Conitzer, Vincent, 2009. "Worst-case optimal redistribution of VCG payments in multi-unit auctions," Games and Economic Behavior, Elsevier, vol. 67(1), pages 69-98, September.
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    Citations

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    Cited by:

    1. Said, Maher, 2012. "Auctions with dynamic populations: Efficiency and revenue maximization," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2419-2438.
    2. Anna Krasnosielska-Kobos & Elżbieta Ferenstein, 2013. "Construction of Nash Equilibrium in a Game Version of Elfving’s Multiple Stopping Problem," Dynamic Games and Applications, Springer, vol. 3(2), pages 220-235, June.
    3. Dirk Bergemann & Maher Said, 2010. "Dynamic Auctions: A Survey," Levine's Working Paper Archive 661465000000000035, David K. Levine.
    4. Akan, Mustafa & Ata, Barış & Dana, James D., 2015. "Revenue management by sequential screening," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 728-774.
    5. repec:eee:gamebe:v:104:y:2017:i:c:p:252-270 is not listed on IDEAS
    6. Arieh Gavious & Ella Segev, 2017. "Price Discrimination Based on Buyers’ Purchase History," Dynamic Games and Applications, Springer, vol. 7(2), pages 229-265, June.
    7. Hinnosaar, Toomas, 2017. "Calendar mechanisms," Games and Economic Behavior, Elsevier, vol. 104(C), pages 252-270.
    8. Arash Khatibi & Golshid Baharian & Banafsheh Behzad & Sheldon Jacobson, 2015. "Extensions of the sequential stochastic assignment problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 82(3), pages 317-340, December.
    9. Francis Bloch & Nicolas Houy, 2012. "Optimal assignment of durable objects to successive agents," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(1), pages 13-33, September.
    10. repec:the:publsh:2234 is not listed on IDEAS
    11. Ron Lavi & Ella Segev, 2014. "Efficiency levels in sequential auctions with dynamic arrivals," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(4), pages 791-819, November.
    12. Gershkov, Alex & Moldovanu, Benny, 2012. "Dynamic allocation and pricing: A mechanism design approach," International Journal of Industrial Organization, Elsevier, vol. 30(3), pages 283-286.

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