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Deterministic single object auctions with private values

  • Debasis Mishra

    ()

    (Indian Statistical Institute, New Delhi)

  • Abdul Quadir

    (Indian Statistical Institute, New Delhi)

We study deterministic single object auctions in private values environments. We show that a deterministic allocation rule is implementable (in dominant strategies) if and only if it is a generalized utility maximizer. With a mild continuity condition, we show that a deterministic allocation rule is implementable and non-bossy if and only if it is a virtual utility maximizer (with appropriate tie-breaking). Both our results extend the seminal result of Roberts (1979) from unrestricted domain to the restricted domain of single object auctions.

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File URL: http://www.isid.ac.in/~pu/dispapers/dp12-06.pdf
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Paper provided by Indian Statistical Institute, New Delhi, India in its series Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers with number 12-06.

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Length: 33 pages
Date of creation: Sep 2012
Date of revision:
Handle: RePEc:ind:isipdp:12-06
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  1. Mishra, Debasis & Roy, Souvik, 2013. "Implementation in multidimensional dichotomous domains," Theoretical Economics, Econometric Society, vol. 8(2), May.
  2. Mutuswami, Suresh, 2005. "Strategyproofness, Non-Bossiness and Group Strategyproofness in a cost sharing model," Economics Letters, Elsevier, vol. 89(1), pages 83-88, October.
  3. Ehlers, Lars, 2002. "Coalitional Strategy-Proof House Allocation," Journal of Economic Theory, Elsevier, vol. 105(2), pages 298-317, August.
  4. Sushil Bikhchandani & Shurojit Chatterji & Ron Lavi & Ahuva Mu'alem & Noam Nisan & Arunava Sen, 2006. "Weak Monotonicity Characterizes Deterministic Dominant-Strategy Implementation," Econometrica, Econometric Society, vol. 74(4), pages 1109-1132, 07.
  5. Katherine Cuff & Sunghoon Hong & Jesse Schwartz & Quan Wen & John Weymark, 2012. "Dominant strategy implementation with a convex product space of valuations," Social Choice and Welfare, Springer, vol. 39(2), pages 567-597, July.
  6. Toyotaka Sakai, 2013. "Axiomatizations of second price auctions with a reserve price," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(3), pages 255-265, 09.
  7. Debasis Mishra & Arunava Sen, 2010. "Roberts' theorem with neutrality: A Social welfare ordering approach," Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers 10-03, Indian Statistical Institute, New Delhi, India.
  8. Thierry Marchant & Debasis Mishra, 2012. "Mechanism design with two alternatives in Quasi-linear environment," Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers 12-05, Indian Statistical Institute, New Delhi, India.
  9. Barbera Salvador & Gul Faruk & Stacchetti Ennio, 1993. "Generalized Median Voter Schemes and Committees," Journal of Economic Theory, Elsevier, vol. 61(2), pages 262-289, December.
  10. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, 03.
  11. Babaioff, Moshe & Feldman, Michal & Nisan, Noam & Winter, Eyal, 2012. "Combinatorial agency," Journal of Economic Theory, Elsevier, vol. 147(3), pages 999-1034.
  12. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
  13. John Hatfield, 2009. "Strategy-proof, efficient, and nonbossy quota allocations," Social Choice and Welfare, Springer, vol. 33(3), pages 505-515, September.
  14. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
  15. Alex Gershkov & Jacob Goeree & Alexey Kushnir & Benny Moldovanu & Xianwen Shi, 2012. "On the Equivalence of Bayesian and Dominant Strategy Implementation," Working Papers tecipa-445, University of Toronto, Department of Economics.
  16. Conan Mukherjee, 2014. "Fair and group strategy-proof good allocation with money," Social Choice and Welfare, Springer, vol. 42(2), pages 289-311, February.
  17. Szilvia Papai, 2000. "Strategyproof Assignment by Hierarchical Exchange," Econometrica, Econometric Society, vol. 68(6), pages 1403-1434, November.
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