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The Variable Value Environment: Auctions and Actions

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  • Schwarz, Michael
  • Sonin, Konstantin

Abstract

This Paper introduces and formally models the variable value environment, where bidders' private values may change over time as a result of both private actions and exogenous shocks. Examples of private actions and exogenous shocks are complementary investments and exogenous changes in bidder's business, respectively. We study mechanisms that lead to efficient allocations, i.e. those in which the final value of the object to the winning bidder net of the total cost of private actions undertaken by all agents is maximized. We characterize the first best allocation, and propose a mechanism that yields the first best allocation in equilibrium. This mechanism has an inefficient pooling equilibrium along with an efficient separating equilibrium. To rule out the pooling equilibrium, we introduce a class of almost efficient mechanisms that force players to coordinate on the separating equilibrium.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 3670.

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Date of creation: Dec 2002
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Handle: RePEc:cpr:ceprdp:3670

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Keywords: auctions; variable value environment;

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References

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  1. Partha Dasgupta & Eric Maskin, 2000. "Efficient Auctions," The Quarterly Journal of Economics, MIT Press, vol. 115(2), pages 341-388, May.
  2. Klemperer, Paul, 1999. "Auction Theory: a Guide to the Literature," CEPR Discussion Papers 2163, C.E.P.R. Discussion Papers.
  3. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
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  6. 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.
  7. Paul Milgrom & Robert J. Weber, 1981. "A Theory of Auctions and Competitive Bidding," Discussion Papers 447R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  8. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-80, January.
  9. Athey, Susan, 2001. "Single Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Econometrica, Econometric Society, vol. 69(4), pages 861-89, July.
  10. Haim Levy, 1992. "Stochastic Dominance and Expected Utility: Survey and Analysis," Management Science, INFORMS, vol. 38(4), pages 555-593, April.
  11. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-37, September.
  12. Roger B. Myerson, 1977. "Incentive Compatability and the Bargaining Problem," Discussion Papers 284, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  13. Milgrom, Paul R, 1981. "Rational Expectations, Information Acquisition, and Competitive Bidding," Econometrica, Econometric Society, vol. 49(4), pages 921-43, June.
  14. Vijay Krishna & Motty Perry, 1997. "Efficient Mechanism Design," Game Theory and Information 9703010, EconWPA, revised 28 Apr 1998.
  15. Riordan, Michael H & Sappington, David E M, 1987. "Awarding Monopoly Franchises," American Economic Review, American Economic Association, vol. 77(3), pages 375-87, June.
  16. Richard L. Fullerton & R. Preston McAfee, 1999. "Auctioning Entry into Tournaments," Journal of Political Economy, University of Chicago Press, vol. 107(3), pages 573-605, June.
  17. Paul R. Milgrom, 1985. "Auction Theory," Cowles Foundation Discussion Papers 779, Cowles Foundation for Research in Economics, Yale University.
  18. Levin, Dan & Smith, James L, 1994. "Equilibrium in Auctions with Entry," American Economic Review, American Economic Association, vol. 84(3), pages 585-99, June.
  19. McAfee, R. Preston & McMillan, John, 1987. "Auctions with entry," Economics Letters, Elsevier, vol. 23(4), pages 343-347.
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Citations

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Cited by:
  1. Giacomo Calzolari & Alessandro Pavan, 2003. "Monopoly with Resale," Working Papers 2003.20, Fondazione Eni Enrico Mattei.
    • Giacomo Calzolari & Alessandro Pavan, 2005. "Monopoly with Resale," Discussion Papers 1405, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    • Giacomo Calzolari & Alessandro Pavan, 2004. "Monopoly with Resale," Discussion Papers 1393, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Andreas Lange & John A. List & Michael K. Price, 2010. "Auctions with Resale When Private Values Are Uncertain: Evidence from the Lab and Field," NBER Working Papers 16360, National Bureau of Economic Research, Inc.
  3. Schmöller, Arno, 2010. "Bidding Behavior, Seller Strategies, and the Utilization of Information in Auctions for Complex Goods," Munich Dissertations in Economics 11175, University of Munich, Department of Economics.
  4. Sonin Konstantin, 2004. "Private interest in public tenders: no revenue, no efficiency and no social benefits," EERC Working Paper Series 00-111e, EERC Research Network, Russia and CIS.
  5. Michael Schwarz & Sergei Severinov, 2010. "Investment Tournaments: When Should a Rational Agent Put All Eggs in One Basket?," Journal of Labor Economics, University of Chicago Press, vol. 28(4), pages 893-922, October.

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