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A Brief Survey of the Theory of Auction

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  • Rittwik Chatterjee

    (Rittwik Chatterjee is affiliated with Centre for Studies in Social Sciences, Calcutta, R-1, B. P. Township, Kolkata 700094, India.)

Abstract

This is a brief survey of the theory of auction. We first discuss the types of agents who participate in an auction and their respective objectives. In the next section we briefly explain the concepts of standard auction, revenue equivalence theorem (perhaps the most cited result in auction theory, along with the result of Myerson on optimal auction), optimal auction, interdependent valuations, risk and some other commonly used concepts. Finally we discuss the theory of contest, as contests are essentially auctions where a part of the payment function is exogenously given to the contestants. JEL Classification: D44 (Auctions)

Suggested Citation

  • Rittwik Chatterjee, 2013. "A Brief Survey of the Theory of Auction," South Asian Journal of Macroeconomics and Public Finance, , vol. 2(2), pages 169-191, December.
    • Handle: RePEc:sae:smppub:v:2:y:2013:i:2:p:169-191
    DOI: 10.1177/2277978713503608
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    1. Lazear, Edward P & Rosen, Sherwin, 1981. "Rank-Order Tournaments as Optimum Labor Contracts," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 841-864, October.
    2. Benny Moldovanu & Aner Sela, 2008. "The Optimal Allocation of Prizes in Contests," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 615-631, Springer.
    3. Birendra Rai & Rajiv Sarin, 2009. "Generalized contest success functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(1), pages 139-149, July.
    4. Bulow, Jeremy & Klemperer, Paul, 1996. "Auctions versus Negotiations," American Economic Review, American Economic Association, vol. 86(1), pages 180-194, March.
    5. Varian, Hal R, 1980. "A Model of Sales," American Economic Review, American Economic Association, vol. 70(4), pages 651-659, September.
    6. Maskin, Eric & Riley, John, 2003. "Uniqueness of equilibrium in sealed high-bid auctions," Games and Economic Behavior, Elsevier, vol. 45(2), pages 395-409, November.
    7. Klumpp, Tilman & Polborn, Mattias K., 2006. "Primaries and the New Hampshire Effect," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1073-1114, August.
    8. 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.
    9. David Malueg & Andrew Yates, 2006. "Equilibria in rent-seeking contests with homogeneous success functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 27(3), pages 719-727, April.
    10. 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.
    11. Konrad, Kai Andreas & Kovenock, Daniel J., 2005. "Equilibrium and efficiency in the tug-of-war [Gleichgewicht und Effizienz im "Tug of War"]," Discussion Papers, Research Unit: Market Processes and Governance SP II 2005-14, WZB Berlin Social Science Center.
    12. Robert B. Wilson, 2021. "Strategic Analysis of Auctions," Econometrica, Econometric Society, vol. 89(2), pages 555-561, March.
    13. Michael J. Fishman, 1988. "A Theory of Preemptive Takeover Bidding," RAND Journal of Economics, The RAND Corporation, vol. 19(1), pages 88-101, Spring.
    14. Baye, Michael R. & Kovenock, Dan & de Vries, Casper G., 1992. "It takes two to tango: Equilibria in a model of sales," Games and Economic Behavior, Elsevier, vol. 4(4), pages 493-510, October.
    15. Jehiel, Philippe & Moldovanu, Benny, 2001. "Efficient Design with Interdependent Valuations," Econometrica, Econometric Society, vol. 69(5), pages 1237-1259, September.
    16. Broecker, Thorsten, 1990. "Credit-Worthiness Tests and Interbank Competition," Econometrica, Econometric Society, vol. 58(2), pages 429-452, March.
    17. Harstad, Ronald M. & Kagel, John H. & Levin, Dan, 1990. "Equilibrium bid functions for auctions with an uncertain number of bidders," Economics Letters, Elsevier, vol. 33(1), pages 35-40, May.
    18. Hao Jia, 2008. "A stochastic derivation of the ratio form of contest success functions," Public Choice, Springer, vol. 135(3), pages 125-130, June.
    19. Konrad, Kai A. & Kovenock, Dan, 2009. "Multi-battle contests," Games and Economic Behavior, Elsevier, vol. 66(1), pages 256-274, May.
    20. Warneryd, Karl, 2003. "Information in conflicts," Journal of Economic Theory, Elsevier, vol. 110(1), pages 121-136, May.
    21. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    22. Harris, Milton & Raviv, Artur, 1981. "Allocation Mechanisms and the Design of Auctions," Econometrica, Econometric Society, vol. 49(6), pages 1477-1499, November.
    23. Paul Klemperer & Jeremy Bulow, 1999. "The Generalized War of Attrition," American Economic Review, American Economic Association, vol. 89(1), pages 175-189, March.
    24. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-392, June.
    25. Christian Groh & Benny Moldovanu & Aner Sela & Uwe Sunde, 2012. "Optimal seedings in elimination tournaments," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(1), pages 59-80, January.
    26. Dmitry Ryvkin, 2007. "Tullock contests of weakly heterogeneous players," Public Choice, Springer, vol. 132(1), pages 49-64, July.
    27. John McMillan, 1994. "Selling Spectrum Rights," Journal of Economic Perspectives, American Economic Association, vol. 8(3), pages 145-162, Summer.
    28. Krishna, Vijay & Morgan, John, 1997. "An Analysis of the War of Attrition and the All-Pay Auction," Journal of Economic Theory, Elsevier, vol. 72(2), pages 343-362, February.
    29. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    30. Barry J. Nalebuff & Joseph E. Stiglitz, 1983. "Prices and Incentives: Towards a General Theory of Compensation and Competition," Bell Journal of Economics, The RAND Corporation, vol. 14(1), pages 21-43, Spring.
    31. Rosen, Sherwin, 1986. "Prizes and Incentives in Elimination Tournaments," American Economic Review, American Economic Association, vol. 76(4), pages 701-715, September.
    32. McAfee, R. Preston & McMillan, John, 1989. "Government procurement and international trade," Journal of International Economics, Elsevier, vol. 26(3-4), pages 291-308, May.
    33. 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.
    34. Warneryd, Karl, 1998. "Distributional conflict and jurisdictional organization," Journal of Public Economics, Elsevier, vol. 69(3), pages 435-450, September.
    35. Kai A. Konrad, 2004. "Bidding in hierarchies," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 547-554, Springer.
    36. James J. Anton & Dennis A. Yao, 1992. "Coordination in Split Award Auctions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 681-707.
    37. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
    38. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521551847.
    39. Robert Wilson, 1979. "Auctions of Shares," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(4), pages 675-689.
    40. Mark Fey, 2008. "Rent-seeking contests with incomplete information," Public Choice, Springer, vol. 135(3), pages 225-236, June.
    41. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    42. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721.
    43. Szidarovszky, Ferenc & Okuguchi, Koji, 1997. "On the Existence and Uniqueness of Pure Nash Equilibrium in Rent-Seeking Games," Games and Economic Behavior, Elsevier, vol. 18(1), pages 135-140, January.
    44. Joseph E. Stiglitz & G. Frank Mathewson (ed.), 1986. "New Developments in the Analysis of Market Structure," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262690934, December.
    45. Clark, Derek J & Riis, Christian, 1998. "Competition over More Than One Prize," American Economic Review, American Economic Association, vol. 88(1), pages 276-289, March.
    46. Cremer, Jacques & McLean, Richard P, 1985. "Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent," Econometrica, Econometric Society, vol. 53(2), pages 345-361, March.
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    More about this item

    Keywords

    Auction; mechanism design; contest; bidding; interdependent valuations;
    All these keywords.

    JEL classification:

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

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