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First Price Package Auction with Many Traders

Listed author(s):
  • Shirata, Yasuhiro

This paper studies a first price package auction in which multiple sellers participate in addition to multiple buyers. We generalize the notion of the profit-target strategy which is first introduced as a truthful strategy in a first price package auction with a single seller by Bernheim and Whinston (1986b). We then show that the set of equilibrium payoffs in profit-target strategies is equal to the bidder-optimal core, and is also equal to the set of coalition-proof Nash equilibria. Using this result, we find that any equilibrium payoff vector is weakly Pareto-dominated by the VCG payoff vector for buyers, and that the Walrasian competitive equilibrium payoff vector is weakly Pareto-dominated by some equilibrium payoff vector for buyers, even if goods are substitutes. This contrasts with the first price package auction with a single seller, in which it is shown that if goods are substitutes, then those three outcomes are payoff-equivalent.

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Paper provided by Otaru University of Commerce in its series ビジネス創造センターディスカッション・ペーパー (Discussion papers of the Center for Business Creation) with number 10252/5134.

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Length: 19 pages
Date of creation: Jun 2013
Publication status: Published in Discussion paper series (2013), 159: 1-19
Handle: RePEc:ota:busdis:10252/5134
Contact details of provider: Postal:
3-5-21 Midori, Otaru, 047-8501

Web page: http://www.otaru-uc.ac.jp/dept/econ/

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  1. de Vries, Sven & Schummer, James & Vohra, Rakesh V., 2007. "On ascending Vickrey auctions for heterogeneous objects," Journal of Economic Theory, Elsevier, vol. 132(1), pages 95-118, January.
  2. Hitoshi Matsushima, 2011. "Efficient Combinatorial Exchanges with Opt-Out Types," CARF F-Series CARF-F-294, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo, revised Aug 2012.
  3. Martin W. Cripps & Jeroen M. Swinkels, 2006. "Efficiency of Large Double Auctions," Econometrica, Econometric Society, vol. 74(1), pages 47-92, 01.
  4. Anwar, Sajid & McMillan, Robert & Zheng, Mingli, 2006. "Bidding behavior in competing auctions: Evidence from eBay," European Economic Review, Elsevier, vol. 50(2), pages 307-322, February.
  5. B. Douglas Bernheim & Michael D. Whinston, 1986. "Menu Auctions, Resource Allocation, and Economic Influence," The Quarterly Journal of Economics, Oxford University Press, vol. 101(1), pages 1-31.
  6. Peters, Michael & Severinov, Sergei, 2006. "Internet auctions with many traders," Journal of Economic Theory, Elsevier, vol. 130(1), pages 220-245, September.
  7. Ausubel Lawrence M & Milgrom Paul R, 2002. "Ascending Auctions with Package Bidding," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 1(1), pages 1-44, August.
  8. Bikhchandani, Sushil & Ostroy, Joseph M., 2002. "The Package Assignment Model," Journal of Economic Theory, Elsevier, vol. 107(2), pages 377-406, December.
  9. Bernheim, B Douglas & Whinston, Michael D, 1986. "Common Agency," Econometrica, Econometric Society, vol. 54(4), pages 923-942, July.
  10. Robert Day & Paul Milgrom, 2008. "Core-selecting package auctions," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 393-407, March.
  11. Mishra, Debasis & Parkes, David C., 2007. "Ascending price Vickrey auctions for general valuations," Journal of Economic Theory, Elsevier, vol. 132(1), pages 335-366, January.
  12. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721, September.
  13. Andrea Prat & Aldo Rustichini, 2003. "Games Played Through Agents," Econometrica, Econometric Society, vol. 71(4), pages 989-1026, 07.
  14. Milgrom, Paul & Strulovici, Bruno, 2009. "Substitute goods, auctions, and equilibrium," Journal of Economic Theory, Elsevier, vol. 144(1), pages 212-247, January.
  15. Lawrence M. Ausubel, 2006. "An Efficient Dynamic Auction for Heterogeneous Commodities," American Economic Review, American Economic Association, vol. 96(3), pages 602-629, June.
  16. Lawrence M. Ausubel, 2004. "An Efficient Ascending-Bid Auction for Multiple Objects," American Economic Review, American Economic Association, vol. 94(5), pages 1452-1475, December.
  17. Peter Cramton & Yoav Shoham & Richard Steinberg (ed.), 2006. "Combinatorial Auctions," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262033429, July.
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