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A discrete model of discriminatory price auctions - an alternative to Menezes-Monteiro


  • Hans Haller
  • Yvan Lengwiler


Menezes and Monteiro, Math. Soc. Sci. (1995), show that a multi-unit discriminatory price auction does not have a pure strategy equilibrium unless one imposes some rather special conditions on the demand functions. This non-existence result might indicate a problem either with the underlying auction procedure (as Menezes and Monteiro suggest) or with the modelling approach (as we suggest). We observe that the non-existence problem disappears if bids must come in multiples of smallest units --- a realistic feature. Moreover, we show that most of the analysis can be recast in a discrete action model.

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  • Hans Haller & Yvan Lengwiler, 1998. "A discrete model of discriminatory price auctions - an alternative to Menezes-Monteiro," Finance and Economics Discussion Series 1998-08, Board of Governors of the Federal Reserve System (U.S.).
  • Handle: RePEc:fip:fedgfe:1998-08

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    References listed on IDEAS

    1. Menezes F. M. & Monteiro, P. K., 1996. "Existence of equilibrium in a descriminatory price auction," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 60-61, February.
    2. Nyborg, Kjell G. & Sundaresan, Suresh, 1996. "Discriminatory versus uniform Treasury auctions: Evidence from when-issued transactions," Journal of Financial Economics, Elsevier, vol. 42(1), pages 63-104, September.
    3. V. V. Chari & Robert J. Weber, 1992. "How the U.S. Treasury should auction its debt," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 3-12.
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    Cited by:

    1. Francisco Álvarez & Cristina Mazón, 2002. "Treasury actions: The Spanish format," Documentos de Trabajo del ICAE 0228, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    2. Yvan Lengwiler, 1999. "The multiple unit auction with variable supply," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(2), pages 373-392.
    3. Alvarez, Francisco & Mazon, Cristina, 2007. "Comparing the Spanish and the discriminatory auction formats: A discrete model with private information," European Journal of Operational Research, Elsevier, vol. 179(1), pages 253-266, May.

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    Econometric models ; Auctions ; Prices;


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