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On The Complete Information First-Price Auction And Its Intuitive Solution

Author

Listed:
  • JOSÉ ALCALDE

    (Department of Quantitative Methods and Economic Theory and IUDESP, University of Alicante, E-03071 Alicante, Spain)

  • MATTHIAS DAHM

    (Departament d'Economia and CREIP, Universitat Rovira i Virgili, Av. de la Universitat, 1, E-43204 Reus (Tarragona), Spain)

Abstract

Despite the popularity of auction theoretical thinking, it appears that no one has presented an elementary equilibrium analysis of the complete information first-price sealed-bid auction mechanism when the bidding space has a finite grid. This paper aims to remedy that omission. We show that there always exists a "high price equilibrium" which can be considered "the intuitive solution" (an agent with the highest valuation wins the auction bidding at the second highest valuation). Although there might be other "low price equilibria," we also show that when there are two bidders "the intuitive solution" is the unique limiting equilibrium when the grid size goes to zero and ties are randomly broken.

Suggested Citation

  • José Alcalde & Matthias Dahm, 2011. "On The Complete Information First-Price Auction And Its Intuitive Solution," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 13(03), pages 353-361.
    • Handle: RePEc:wsi:igtrxx:v:13:y:2011:i:03:n:s0219198911003040
    DOI: 10.1142/S0219198911003040
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    References listed on IDEAS

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    1. B. Douglas Bernheim & Michael D. Whinston, 1986. "Menu Auctions, Resource Allocation, and Economic Influence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(1), pages 1-31.
    2. Jean-Pierre Benoît & Vijay Krishna, 2001. "Multiple-Object Auctions with Budget Constrained Bidders," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(1), pages 155-179.
    3. Moldovanu, Benny & Sela, Aner, 2003. "Patent licensing to Bertrand competitors," International Journal of Industrial Organization, Elsevier, vol. 21(1), pages 1-13, January.
    4. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
    5. Michael R. Baye & Dan Kovenock & Casper G. Vries, 2008. "Rigging the lobbying process: An application of the all-pay auction," Springer Books, in: Roger D. Congleton & Kai A. Konrad & Arye L. Hillman (ed.), 40 Years of Research on Rent Seeking 2, pages 331-336, Springer.
    6. Michael R. Baye & Dan Kovenock & Casper G. Vries, 1996. "The all-pay auction with complete information," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 209-223, Springer.
    7. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818742, January.
    8. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524124, January.
    9. Mathias Dewatripont & Lars Peter Hansen & Stephen Turnovsky, 2003. "Advances in economics and econometrics :theory and applications," ULB Institutional Repository 2013/9557, ULB -- Universite Libre de Bruxelles.
    10. Simon, Leo K & Zame, William R, 1990. "Discontinuous Games and Endogenous Sharing Rules," Econometrica, Econometric Society, vol. 58(4), pages 861-872, July.
    11. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818728, January.
    12. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524131, January.
    13. Chwe, Michael Suk-Young, 1989. "The discrete bid first auction," Economics Letters, Elsevier, vol. 31(4), pages 303-306, December.
    14. Kala Krishna & Torben Tranæ s, 2002. "Allocating multiple units," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(4), pages 733-750.
    15. Barry O'neill, 1986. "International Escalation and the Dollar Auction," Journal of Conflict Resolution, Peace Science Society (International), vol. 30(1), pages 33-50, March.
    16. repec:cup:cbooks:9780521524117 is not listed on IDEAS
    17. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818735, January.
    18. Rapoport, Amnon & Amaldoss, Wilfred, 2004. "Mixed-strategy play in single-stage first-price all-pay auctions with symmetric players," Journal of Economic Behavior & Organization, Elsevier, vol. 54(4), pages 585-607, August.
    19. Alcalde, José & Dahm, Matthias, 2008. "The Complete Information First. Price Auction or the Importance of Being Indivisible," Working Papers 2072/13264, Universitat Rovira i Virgili, Department of Economics.
    20. James J. Anton & Dennis A. Yao, 1989. "Split Awards, Procurement, and Innovation," RAND Journal of Economics, The RAND Corporation, vol. 20(4), pages 538-552, Winter.
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    Cited by:

    1. Alcalde, José & Dahm, Matthias, 2020. "Affirmative Action Through Endogenous Set-Asides," QM&ET Working Papers 20-1, University of Alicante, D. Quantitative Methods and Economic Theory.
    2. Brennan C. Platt & Joseph Price & Henry Tappen, 2013. "The Role of Risk Preferences in Pay-to-Bid Auctions," Management Science, INFORMS, vol. 59(9), pages 2117-2134, September.
    3. Gian Luigi Albano & Berardino Cesi & Alberto Iozzi, 2023. "Teaching an old dog a new trick: Reserve price and unverifiable quality in repeated procurement," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 32(2), pages 377-399, April.
    4. Alcalde, José & Dahm, Matthias, 2013. "Competition for procurement shares," Games and Economic Behavior, Elsevier, vol. 80(C), pages 193-208.
    5. José Alcalde & Matthias Dahm, "undated". "Supplier Diversity before the Time of Cholera," Discussion Papers in Economics 20/07, Division of Economics, School of Business, University of Leicester.
    6. Alcalde, José & Dahm, Matthias, 2024. "On the trade-off between supplier diversity and cost-effective procurement," Journal of Economic Behavior & Organization, Elsevier, vol. 217(C), pages 63-90.
    7. Matthias Dahm & Robert Dur & Amihai Glazer, 2014. "How a firm can induce legislators to adopt a bad policy," Public Choice, Springer, vol. 159(1), pages 63-82, April.

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    More about this item

    Keywords

    First-price auctions; undominated Nash equilibria; C72; D74;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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