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Efficient Ascending Menu Auctions with Budget Constrained Bidders

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  • Zaifu Yang
  • Jingsheng Yu

Abstract

The Lucas (1978) asset pricing model lies at the heart of modern macro-finance. At its core, it provides an analysis of the equilibrium price of a long-lived financial asset in an economy where consumption is the objective, and the sole purpose of the asset is to smooth consumption through time. Experimental tests of the model are mainly confined to Crockett et al (forthcoming 2019) and Asparouhova et al (2016), both of them using a particular instantiation of the Lucas Model. Here we adopt a different instantiation, extending their analyses from a two-period oscillating world to a three-period cyclical world. We also go one step further, and compare this asset market solution (to a consumption-smoothing problem) with the perhaps intuitively more reasonable solution provided by a credit market, in which agents can directly trade consumption between periods. We find that the latter is more efficient in smoothing consumption, and that prices in the credit market are closer to their equilibrium values than those in the asset market, and also less volatile. We find evidence of uncompetitive trading in both markets.

Suggested Citation

  • Zaifu Yang & Jingsheng Yu, 2018. "Efficient Ascending Menu Auctions with Budget Constrained Bidders," Discussion Papers 18/09, Department of Economics, University of York.
  • Handle: RePEc:yor:yorken:18/09
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    References listed on IDEAS

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    1. Crawford, Vincent P & Knoer, Elsie Marie, 1981. "Job Matching with Heterogeneous Firms and Workers," Econometrica, Econometric Society, vol. 49(2), pages 437-450, March.
    2. Aytek Erdil & Paul Klemperer, 2010. "A New Payment Rule for Core-Selecting Package Auctions," Journal of the European Economic Association, MIT Press, vol. 8(2-3), pages 537-547, 04-05.
    3. 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.
    4. 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.
    5. 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.
    6. Yeon-Koo Che & Ian Gale, 1998. "Standard Auctions with Financially Constrained Bidders," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(1), pages 1-21.
    7. A. Talman & Zaifu Yang, 2015. "An efficient multi-item dynamic auction with budget constrained bidders," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(3), pages 769-784, August.
    8. Predtetchinski, Arkadi & Jean-Jacques Herings, P., 2004. "A necessary and sufficient condition for non-emptiness of the core of a non-transferable utility game," Journal of Economic Theory, Elsevier, vol. 116(1), pages 84-92, May.
    9. Paul Klemperer, 2004. "Auctions: Theory and Practice," Online economics textbooks, SUNY-Oswego, Department of Economics, number auction1.
    10. Pitchik, Carolyn, 2009. "Budget-constrained sequential auctions with incomplete information," Games and Economic Behavior, Elsevier, vol. 66(2), pages 928-949, July.
    11. 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.
    12. 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.
    13. Dirk Bergemann & Stephen Morris, 2012. "An Ascending Auction for Interdependent Values: Uniqueness and Robustness to Strategic Uncertainty," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 7, pages 253-262, World Scientific Publishing Co. Pte. Ltd..
    14. Zheng, Charles Z., 2001. "High Bids and Broke Winners," Journal of Economic Theory, Elsevier, vol. 100(1), pages 129-171, September.
    15. Michael H. Rothkopf, 2007. "Thirteen Reasons Why the Vickrey-Clarke-Groves Process Is Not Practical," Operations Research, INFORMS, vol. 55(2), pages 191-197, April.
    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. Andersson, Tommy & Erlanson, Albin, 2013. "Multi-item Vickrey–English–Dutch auctions," Games and Economic Behavior, Elsevier, vol. 81(C), pages 116-129.
    18. Paul Klemperer, 2004. "Survey of Auction Theory, from Auctions: Theory and Practice," Introductory Chapters, in: Auctions: Theory and Practice, Princeton University Press.
    19. Rothkopf, Michael H & Teisberg, Thomas J & Kahn, Edward P, 1990. "Why Are Vickrey Auctions Rare?," Journal of Political Economy, University of Chicago Press, vol. 98(1), pages 94-109, February.
    20. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
    21. Laffont, Jean-Jacques & Robert, Jacques, 1996. "Optimal auction with financially constrained buyers," Economics Letters, Elsevier, vol. 52(2), pages 181-186, August.
    22. Paul Milgrom, 2000. "Putting Auction Theory to Work: The Simultaneous Ascending Auction," Journal of Political Economy, University of Chicago Press, vol. 108(2), pages 245-272, April.
    23. Gerard van der Laan & Zaifu Yang, 2016. "An ascending multi-item auction with financially constrained bidders," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 1(1), pages 109-149, December.
    24. Dirk Bergemann & Stephen Morris, 2007. "An Ascending Auction for Independent Values: Uniqueness and Robustness to Strategic Uncertainty," Cowles Foundation Discussion Papers 1600, Cowles Foundation for Research in Economics, Yale University, revised Mar 2007.
    25. Sandro Brusco & Giuseppe Lopomo, 2008. "Budget Constraints And Demand Reduction In Simultaneous Ascending‐Bid Auctions," Journal of Industrial Economics, Wiley Blackwell, vol. 56(1), pages 113-142, March.
    26. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    27. Gul, Faruk & Stacchetti, Ennio, 1999. "Walrasian Equilibrium with Gross Substitutes," Journal of Economic Theory, Elsevier, vol. 87(1), pages 95-124, July.
    28. Gerard Debreu, 1963. "On a Theorem of Scarf," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(3), pages 177-180.
    29. Ning Sun & Zaifu Yang, 2009. "A Double-Track Adjustment Process for Discrete Markets With Substitutes and Complements," Econometrica, Econometric Society, vol. 77(3), pages 933-952, May.
    30. Maskin, Eric S., 2000. "Auctions, development, and privatization: Efficient auctions with liquidity-constrained buyers," European Economic Review, Elsevier, vol. 44(4-6), pages 667-681, May.
    31. Beker, Pablo F. & Hernando-Veciana, Ángel, 2015. "The dynamics of bidding markets with financial constraints," Journal of Economic Theory, Elsevier, vol. 155(C), pages 234-261.
    32. Dirk Bergemann & Stephen Morris, 2007. "Ascending Auction: Uniqueness and Robustness to Strategic Uncertainty," Levine's Bibliography 321307000000000845, UCLA Department of Economics.
    33. Motty Perry & Philip J. Reny, 2005. "An Efficient Multi-Unit Ascending Auction," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(2), pages 567-592.
    34. Paul Klemperer, 2004. "Auctions: Theory and Practice," Online economics textbooks, SUNY-Oswego, Department of Economics, number auction1.
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    More about this item

    Keywords

    Dynamic menu auction; core; budget constraint; efficiency.;
    All these keywords.

    JEL classification:

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

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