Auction Theory: A Guide to the Literature

This paper provides an elementary, non-technical, survey of auction theory, by introducing and describing some of the critical papers in the subject. (The most important of these are reproduced in a companion book, The Economic Theory of Auctions, Paul Klemperer (ed.), Edward Elgar (pub.), forthcoming.) We begin with the most fundamental concepts, and then introduce the basic analysis of optimal auctions, the revenue equivalence theorem, and marginal revenues. Subsequent sections address risk-aversion, affiliation, asymmetries, entry, collusion, multi-unit auctions, double auctions, royalties, incentive contracts, and other topics. Appendices contain technical details, some simple worked examples, and bibliographies.

[1]  L. Friedman A Competitive-Bidding Strategy , 1956 .

[2]  William Vickrey,et al.  Counterspeculation, Auctions, And Competitive Sealed Tenders , 1961 .

[3]  Robert B. Wilson Competitive Bidding with Asymmetric Information , 1967 .

[4]  Armando Ortega-Reichert Models for competitive bidding under uncertainty , 1967 .

[5]  Richard Levitan,et al.  Toward a study of bidding processes : part IV, games with unknown costs , 1967 .

[6]  R. Cassady Auctions and Auctioneering , 2023 .

[7]  M. Rothkopf A Model of Rational Competitive Bidding , 1969 .

[8]  J. Mirrlees An Exploration in the Theory of Optimum Income Taxation an Exploration in the Theory of Optimum Income Taxation L Y 2 , 2022 .

[9]  E. C. Capen,et al.  Competitive Bidding in High-Risk Situations , 1971 .

[10]  Robert B. Wilson A Bidding Model of Perfect Competition , 1977 .

[11]  C. Cannings,et al.  The Generalized War of Attrition , 1997 .

[12]  D. K. Reece An analysis of alternative bidding systems for leasing offshore oil , 1979 .

[13]  Robert B. Wilson Auctions of Shares , 1979 .

[14]  Y. Amihud,et al.  Bidding and Auctioning for Procurement and Allocation , 1979 .

[15]  Paul R. Milgrom,et al.  A Convergence Theorem for Competitive Bidding with Differential Information , 1979 .

[16]  R. Myerson Incentive Compatibility and the Bargaining Problem , 1979 .

[17]  E. Maskin,et al.  The Implementation of Social Choice Rules: Some General Results on Incentive Compatibility , 1979 .

[18]  Charles A. Holt,et al.  Competitive Bidding for Contracts under Alternative Auction Procedures , 1980, Journal of Political Economy.

[19]  Michael H. Rothkopf,et al.  On Multiplicative Bidding Strategies , 1980, Oper. Res..

[20]  Robert W. Rosenthal,et al.  A Model in Which an Increase in the Number of Sellers Leads to a Higher Price , 1980 .

[21]  J. Riley,et al.  Strong evolutionary equilibrium and the war of attrition. , 1980, Journal of theoretical biology.

[22]  Robert M. Townsend,et al.  Resource Allocation under Asymmetric Information , 1981 .

[23]  Roger B. Myerson,et al.  Optimal Auction Design , 1981, Math. Oper. Res..

[24]  Paul R. Milgrom,et al.  Rational Expectations, Information Acquisition, and Competitive Bidding , 1981 .

[25]  M. Harris,et al.  ALLOCATION MECHANISMS AND THE DESIGN OF AUCTIONS , 1981 .

[26]  Paul R. Milgrom,et al.  LIMIT PRICING AND ENTRY UNDER INCOMPLETE INFORMATION: AN EQUILIBRIUM ANALYSIS' , 1982 .

[27]  Paul R. Milgrom,et al.  A theory of auctions and competitive bidding , 1982 .

[28]  Charles A. Holt,et al.  Waiting-Line Auctions , 1982, Journal of Political Economy.

[29]  Paul R. Milgrom,et al.  The value of information in a sealed-bid auction , 1982 .

[30]  Paul R. Milgrom,et al.  Competitive Bidding and Proprietary Information , 1983 .

[31]  Steven A. Matthews Selling to risk averse buyers with unobservable tastes , 1983 .

[32]  Kalyan Chatterjee,et al.  Bargaining under Incomplete Information , 1983, Oper. Res..

[33]  B. Nalebuff,et al.  Dragon-slaying and ballroom dancing: The private supply of a public good , 1984 .

[34]  E. Maskin,et al.  Optimal Auctions with Risk Averse Buyers , 1984 .

[35]  J. Geanakoplos,et al.  Multimarket Oligopoly: Strategic Substitutes and Complements , 1985, Journal of Political Economy.

[36]  Eric Maskin,et al.  Auction Theory with Private Values , 1985 .

[37]  Robert H. Wilson Incentive Efficiency of Double Auctions , 1985 .

[38]  John Geanakoplos,et al.  Holding Idle Capacity to Deter Entry [The Role of Investment in Entry Deterrence] , 1985 .

[39]  Richard P. McLean,et al.  Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent , 1985 .

[40]  P. Cramton,et al.  Dissolving a Partnership Efficiently , 1985 .

[41]  Marc S. Robinson,et al.  Collusion and the Choice of Auction , 1985 .

[42]  M. Whinston,et al.  Menu Auctions, Resource Allocation, and Economic Influence , 1986 .

[43]  D. Fudenberg,et al.  A Theory of Exit in Duopoly , 1986 .

[44]  B HauschDonald,et al.  Multi-Object Auctions , 1986 .

[45]  D. Hausch,et al.  Multi-object auctions: sequential vs. simultaneous sales , 1986 .

[46]  A. Schotter,et al.  Perfect Equilibria in Budget Constrained Sequential Auctions: An Experimental Study , 1988 .

[47]  R. Preston McAfee,et al.  Bidding for contracts: a principal-agent analysis , 1986 .

[48]  R. McAfee,et al.  Auctions and Bidding , 1986 .

[49]  D. Graham,et al.  Collusive Bidder Behavior at Single-Object Second-Price and English Auctions , 1987, Journal of Political Economy.

[50]  An Introduction to the Theory of Contests , 1987 .

[51]  R. Preston McAfee,et al.  Competition for Agency Contracts , 1987 .

[52]  Jean Tirole,et al.  Auctioning Incentive Contracts , 1987, Journal of Political Economy.

[53]  R. McAfee,et al.  Auctions with entry , 1987 .

[54]  Steven A. Matthews Comparing Auctions for Risk Averse Buyers: A Buyer's Point of View , 1987 .

[55]  Roy Radner,et al.  Equilibria of the Sealed- Bid Mechanism for Bargaining with Incomplete Information*, ' , 1987 .

[56]  M. Riordan,et al.  Awarding Monopoly Franchises , 1987 .

[57]  R. McAfee,et al.  Auctions with a stochastic number of bidders , 1987 .

[58]  R. Porter,et al.  An Empirical Study of an Auction with Asymmetric Information , 1988 .

[59]  R. Hansen Auctions with endogenous quantity , 1988 .

[60]  S. Bikhchandani Reputation in repeated second-price auctions , 1988 .

[61]  Richard P. McLean,et al.  FULL EXTRACTION OF THE SURPLUS IN BAYESIAN AND DOMINANT STRATEGY AUCTIONS , 1988 .

[62]  J. Riley Ex Post Information in Auctions , 1988 .

[63]  Steven R. Williams,et al.  The Rate of Convergence to Efficiency in the Buyer's Bid Double Auction as the Market Becomes Large , 1989 .

[64]  Jeremy I. Bulow,et al.  The Simple Economics of Optimal Auctions , 1989, Journal of Political Economy.

[65]  O. Ashenfelter How Auctions Work for Wine and Art , 1989 .

[66]  Steven R. Williams,et al.  Bilateral trade with the sealed bid k-double auction: Existence and efficiency , 1989 .

[67]  F. Hahn,et al.  Optimal Multi-Unit Auctions , 1989 .

[68]  Robert H. Porter,et al.  Collusion in Auctions , 1989 .

[69]  Paul R. Milgrom,et al.  Auctions and Bidding: A Primer , 1989 .

[70]  R. McAfee,et al.  Extracting the Surplus in the Common-Value Auction , 1989 .

[71]  P. Klemperer,et al.  Supply Function Equilibria in Oligopoly under Uncertainty , 1989 .

[72]  James J. Anton,et al.  Split-Awards Procurement and Innovation , 1989 .

[73]  R. McAfee,et al.  Government procurement and international trade , 1989 .

[74]  John G. Riley Expected Revenue from Open and Sealed Bid Auctions , 1989 .

[75]  J. Richard,et al.  Differential Payments within a Bidder Coalition and the Shapley Value , 1990 .

[76]  Ronald M. Harstad Alternative Common-Value Auction Procedures: Revenue Comparisons with Free Entry , 1990, Journal of Political Economy.

[77]  Ronald M. Harstad,et al.  Equilibrium bid functions for auctions with an uncertain number of bidders , 1990 .

[78]  Daniel F. Spulber Auctions and Contract Enforcement , 1990 .

[79]  Kala Krishna,et al.  Auctions with Endogenous Valuations: The Persistence of Monopoly Revisited , 1990 .

[80]  M. Rothkopf,et al.  Why Are Vickrey Auctions Rare? , 1990, Journal of Political Economy.

[81]  George J. Mailath,et al.  Collusion in second price auctions with heterogeneous bidders , 1991 .

[82]  S. Bikhchandani,et al.  Equilibria in open common value auctions , 1991 .

[83]  P. Klemperer Competition when Consumers have Switching Costs: An Overview with Applications to Industrial Organization, Macroeconomics, and International Trade , 1992 .

[84]  R. McAfee,et al.  A dominant strategy double auction , 1992 .

[85]  R. Gibbons Game theory for applied economists , 1992 .

[86]  P. Reny,et al.  Correlated Information and Mechanism Design , 1992 .

[87]  R. Green,et al.  Competition in the British Electricity Spot Market , 1992, Journal of Political Economy.

[88]  Friedel Bolle,et al.  Supply function equilibria and the danger of tacit collusion: The case of spot markets for electricity , 1992 .

[89]  E. Maskin,et al.  Auctions and Privatization , 1992 .

[90]  James J. Anton,et al.  Coordination in Split Award Auctions , 1992 .

[91]  R. Porter The Role of Information in U.S. Offshore Oil and Gas Lease Auctions , 1992 .

[92]  Sequentia Procurement Auctions with Subcontracting , 1993 .

[93]  Daniel R. Vincent,et al.  The Declining Price Anomaly , 1993 .

[94]  Yeon-Koo Che Design competition through multidimensional auctions , 1993 .

[95]  R. McAfee Mechanism Design by Competing Sellers , 1993 .

[96]  Richard Engelbrecht-Wiggans,et al.  Sequential auctions of stochastically equivalent objects , 1994 .

[97]  Michael H. Rothkopf,et al.  Chapter 19 Models of auctions and competitive bidding , 1994, Operations research and the public sector.

[98]  N. M. Fehr,et al.  PREDATORY BIDDING IN SEQUENTIAL AUCTIONS , 1994 .

[99]  Steven R. Williams,et al.  Convergence to Efficiency in a Simple Market with Incomplete Information , 1994 .

[100]  D. Bernhardt,et al.  A Note on Sequential Auctions , 1994 .

[101]  Ian L. Gale,et al.  Bottom-Fishing and Declining Prices in Sequential Auctions , 1994 .

[102]  J. Morgan,et al.  An Analysis of the War of Attrition and the All-Pay Auction , 1997 .

[103]  Walter Stromquist,et al.  Numerical Analysis of Asymmetric First Price Auctions , 1994 .

[104]  Dan Levin,et al.  Equilibrium in Auctions with Entry , 1994 .

[105]  J. Mcmillan Selling Spectrum Rights , 1994 .

[106]  Ronald M. Harstad,et al.  Modeling Competitive Bidding: A Critical Essay , 1994 .

[107]  Daniel R. Vincent,et al.  Optimal Procurement Mechanisms , 1995 .

[108]  Lawrence M. Ausubel,et al.  Demand Reduction and Inefficiency in Multi-Unit Auctions , 2014 .

[109]  K. Waehrer A Model of Auction Contracts with Liquidated Damages , 1995 .

[110]  J. Laffont,et al.  ECONOMETRICS OF FIRST-PRICE AUCTIONS , 1995 .

[111]  Harry J. Paarsch,et al.  A Survey of Recent Empirical Work Concerning Auctions , 1995 .

[112]  Roberto Burguet,et al.  Reserve prices without commitment , 1996 .

[113]  E. Stacchetti,et al.  How (not) to sell nuclear weapons , 1996 .

[114]  B. Lebrun Existence of an equilibrium in first price auctions , 1996 .

[115]  R. Green,et al.  Increasing Competition in the British Electricity Spot Market , 1996 .

[116]  Elmar G. Wolfstetter AUCTIONS: AN INTRODUCTION , 1996 .

[117]  Michele Piccione,et al.  A Simple Model of Expert and Non-Expert Bidding in First-Price Auctions , 1996 .

[118]  Eric Maskin,et al.  Uniqueness in Sealed High Bid Auctions , 1996 .

[119]  R. McAfee,et al.  Analyzing the Airwaves Auction , 1996 .

[120]  Jean-Jacques Laffont,et al.  Structural Analysis of Auction Data , 1996 .

[121]  Dan Levin,et al.  Optimal Reservation Prices in Auctions , 1996 .

[122]  Dan Levin,et al.  Ranking Auctions with Risk Averse Bidders , 1996 .

[123]  Jeroen M. Swinkels,et al.  The Loser's Curse and Information Aggregation in Common Value Auctions , 1997 .

[124]  J. Laffont Game Theory and Empirical Economics: The Case of Auction Data , 1997 .

[125]  Kathryn Graddy,et al.  Declining Values and the Afternoon Effect: Evidence from Art Auctions , 1997 .

[126]  F. Branco The Design of Multidimensional Auctions , 1997 .

[127]  Daniel R. Vincent,et al.  Sequentially Optimal Auctions , 1997 .

[128]  Michael Peters,et al.  Competition among Sellers Who Offer Auctions Instead of Prices , 1997 .

[129]  Victor Ginsburgh,et al.  Absentee Bidders and the Declining Price Anomaly in Wine Auctions , 1998, Journal of Political Economy.

[130]  Susan Athey,et al.  Single Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information , 1997 .

[131]  Kent D. Daniel,et al.  A Theory of Costly Sequential Bidding , 1998 .

[132]  R. Engelbrecht-Wiggans,et al.  Multi-unit auctions with uniform prices , 1998 .

[133]  Jeremy I. Bulow,et al.  Toeholds and Takeovers , 1998, Journal of Political Economy.

[134]  B. Moldovanu,et al.  Efficient Design with Interdependent Valuations , 2001 .

[135]  Philippe Jehiel,et al.  Collusion in Auctions with Externalities , 1998 .

[136]  Richard Engelbrecht-Wiggans,et al.  Multi-Unit Pay-Your-Bid Auctions with Variable Awards , 1998 .

[137]  Ian L. Gale,et al.  Standard Auctions with Financially Constrained Bidders , 1998 .

[138]  Robert B. Wilson,et al.  Sequential equilibria of asymmetric ascending auctions: The case of log-normal distributions , 1998 .

[139]  Moshe Tennenholtz,et al.  Optimal auctions revisited , 1998, Artif. Intell..

[140]  N. M. Fehr,et al.  Option Values in Sequential Markets , 1998 .

[141]  Paul Klemperer,et al.  The Tobacco Deal , 1998 .

[142]  Michael H. Rothkopf,et al.  Auction Form Preferences of Risk-Averse Bid Takers , 1998 .

[143]  C. Avery,et al.  Strategic Jump Bidding in English Auctions , 1998 .

[144]  Giuseppe Lopomo The English Auction Is Optimal Among Simple Sequential Auctions , 1998 .

[145]  Jeremy I. Bulow,et al.  Prices and the Winner's Curse , 1999 .

[146]  E. Jones The Role of Information in U.S. Grain and Oilseed Markets , 1999 .

[147]  R. McAfee,et al.  Auctionin Entry into Tournaments , 1999, Journal of Political Economy.

[148]  P. Reny,et al.  On the failure of the linkage principle in multi-unit auctions , 1999 .

[149]  S. Bikhchandani Auctions of Heterogeneous Objects , 1999 .

[150]  Roberto Burguet,et al.  Imperfect Competition in Auction Designs , 1999 .

[151]  Paul R. Milgrom,et al.  A Theory of Auctions and Competitive Bidding II , 2000 .

[152]  Robert H. Porter,et al.  Joint Bidding in Federal Offshore Oil and Gas Lease Auctions , 2000 .

[153]  Alessandro Lizzeri,et al.  Uniqueness and Existence of Equilibrium in Auctions with a Reserve Price , 2000, Games Econ. Behav..

[154]  P. Monteiro,et al.  Auctions with endogenous participation , 2000 .

[155]  E. Maskin,et al.  Equilibrium in Sealed High Bid Auctions , 2000 .

[156]  Vol Cxv Issue EFFICIENT AUCTIONS , 2000 .

[157]  M. Armstrong Optimal Multi-Object Auctions , 2000 .

[158]  N. Persico Information acquisition in auctions , 2000 .

[159]  Arupratan Daripa A theory of treasury auctions , 2001 .

[160]  Ian L. Gale,et al.  Sequential Auctions of Endogenously Valued Objects , 2001, Games Econ. Behav..

[161]  J. Asker,et al.  Bidding Rings , 2022 .