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Auctions with variable supply: Uniform price versus discriminatory

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  • Damianov, Damian S.
  • Becker, Johannes Gerd

Abstract

We examine an auction in which the seller determines the supply after observing the bids. We compare the uniform price and the discriminatory auction in a setting of supply uncertainty, where uncertainty is caused by the interplay of two factors: the seller's private information about marginal cost and the seller's incentive to sell the profit-maximizing quantity, given the received bids. In every symmetric mixed strategy equilibrium, bidders submit higher bids in the uniform price auction than in the discriminatory auction. In the two-bidder case, this result extends to the set of rationalizable strategies. As a consequence, we find that the uniform price auction generates a higher expected revenue for the seller and a higher trade volume.

Suggested Citation

  • Damianov, Damian S. & Becker, Johannes Gerd, 2010. "Auctions with variable supply: Uniform price versus discriminatory," European Economic Review, Elsevier, vol. 54(4), pages 571-593, May.
  • Handle: RePEc:eee:eecrev:v:54:y:2010:i:4:p:571-593
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    3. Mazaher Haji Bashi & Gholamreza Yousefi & Claus Leth Bak & Jayakrishnan Radhakrishna Pillai, 2016. "Long Term Expected Revenue of Wind Farms Considering the Bidding Admission Uncertainty," Energies, MDPI, Open Access Journal, vol. 9(11), pages 1-17, November.
    4. Balistreri, Edward J. & Hillberry, Russell H. & Rutherford, Thomas F., 2011. "Structural estimation and solution of international trade models with heterogeneous firms," Journal of International Economics, Elsevier, vol. 83(2), pages 95-108, March.
    5. Peyman Khezr & Ian A. MacKenzie, 2018. "An efficient and implementable auction for environmental rights," Discussion Papers Series 587, School of Economics, University of Queensland, Australia.
    6. Khezr, Peyman & MacKenzie, Ian A., 2021. "Revenue and efficiency in pollution permit allocation mechanisms," Energy Economics, Elsevier, vol. 93(C).
    7. Balistreri, Edward J. & Hillberry, Russell H. & Rutherford, Thomas F., 2010. "Trade and welfare: Does industrial organization matter?," Economics Letters, Elsevier, vol. 109(2), pages 85-87, November.
    8. Ranaldo, Angelo & Rossi, Enzo, 2016. "Uniform-price Auctions for Swiss Government Bonds: Origin and Evolution," Working Papers on Finance 1609, University of St. Gallen, School of Finance.
    9. Becker, Johannes Gerd & Damianov, Damian S., 2006. "On the existence of symmetric mixed strategy equilibria," Economics Letters, Elsevier, vol. 90(1), pages 84-87, January.
    10. Lana Friesen & Lata Gangadharan & Peyman Khezr & Ian A. MacKenzie, 2020. "Mind your Ps and Qs! An Experiment on Variable Allowance Supply in the US Regional Greenhouse Gas Initiative," Discussion Papers Series 618, School of Economics, University of Queensland, Australia.
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    13. Lana Friesen & Lata Gangadharan & Peyman Khezr & Ian A. MacKenzie, 2019. "Cost containment in pollution auctions," Discussion Papers Series 610, School of Economics, University of Queensland, Australia.

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    More about this item

    Keywords

    Sealed bid multi-unit auctions Variable supply auctions Discriminatory and uniform price auctions Subgame perfect equilibria Rationalizable strategies;

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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