Abstract
Bidding the same price in descending bid auctions and in first price sealed bid auctions is equivalent to expected utility maximizing behavior, and this is equivalent to dynamically consistent bidding. The claim that, in strategic form, descending bid and first price sealed bid auctions are the same game is thus shown to be false, since the mapping from strategies to payoffs is not the same for the two auction forms.
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References
Chew, Soo Hong: 1985, ‘A Bibliographical Note on Differentiability of Preference Functionals’, Manuscript.
Hadamard, J.: 1923, ‘La Notion de Differentielle dans L'Enseignement’, Scripta Univ. Ad. Hierosolymitanarum (Jerusalem) 1.
Karni, Edi and Zvi Safra: 1986a, ‘Dynamic Consistency in English Auctions and Expected Utility Theory’, Working Paper #167, Department of Political Economy, The Johns Hopkins University.
Karni, Edi and Zvi Safra: 1986b, ‘Revelations in Auctions and the Structure of Preferences’, Working Paper #175, Department of Political Economy, The Johns Hopkins University.
Karni, Edi and Zvi Safra: 1986c, ‘Ascending Bid Auctions with Behaviorally Consistent Preferences’, Manuscript.
Milgrom, Paul R.: 1985, ‘Auction Theory’, A paper presented to the 1985 World Congress of the Econometric Society (1985).
Milgrom, Paul R. and Robert J. Weber: 1982, ‘A Theory of Auctions and Competitive Bidding’, Econometrica 50, 1089–1122.
Vickery, William: 1961, ‘Counterspeculation, Actions, and Competitive Sealed Tenders’, Journal of Finance 16, 8–37.
Weber, Robert J.: 1982, ‘The Allais Paradox, Dutch Auctions, and Alpha-Utility Theory’, Working paper, J.L. Kellog Graduate School of Management, Northwestern University.
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Karni, E. On the equivalence between descending bid auctions and first price sealed bid auctions. Theor Decis 25, 211–217 (1988). https://doi.org/10.1007/BF00133162
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DOI: https://doi.org/10.1007/BF00133162