Combinatorial Auctions: A Survey
Published Online:1 Aug 2003https://doi.org/10.1287/ijoc.15.3.284.16077
References
- , Kontoghiorghes E. J., Rustem B., Siokos S. An opportunity-cost algorithm for combinatorial auctions. Applied Optimization: Computational Methods in Decision-Making, Economics and Finance (2002) (Kluwer, Dordrecht, The Netherlands) Crossref, Google Scholar
- Integer programming for combinatorial auction winner determination. Proceedings of the Fourth International Conference on Multi-Agent Systems (ICMAS00) (2000) Boston, MA:39–46Crossref, Google Scholar
- An efficient ascending-bid auction for multiple objects. (1997) . Working Paper No. 97-06, Department of Economics, University of Maryland, College Park, MDGoogle Scholar
- An efficient dynamic auction for heterogeneous commodities. (2000) . Working paper, Department of Economics, University of Maryland, College Park, MDGoogle Scholar
- Demand reduction and inefficiency in multi-unit auctions. (1998) . Manuscript, Department of Economics, University of Maryland, College Park, MDGoogle Scholar
- A dynamic subgradient-based branch-and-bound procedure for set covering. Oper. Res. (1996) 44:875–890Link, Google Scholar
- A lift-and-project cutting plane algorithm for mixed 0-1 programs. Math. Programming (1993) 58:295–324Crossref, Google Scholar
- Set partitioning: a survey. SIAM Rev. (1976) 18:710–760Crossref, Google Scholar
- The design and analysis of heuristics. Networks (1981) 11:215–219Crossref, Google Scholar
- Allocating uncertain and unresponsive resources: an experimental approach. RAND J. of Econom. (1989) 20:1–25Crossref, Google Scholar
- Branch and price: column generation for solving huge integer programs. Oper. Res. (1998) 46:316–329Link, Google Scholar
- A Lagrangian heuristic for set-covering problems. Naval Res. Logist. (1990) 37:151–164Crossref, Google Scholar
- Linear Network Optimization: Algorithms and Codes (1991) (MIT Press, Cambridge, MA) Google Scholar
- The economics of treasury securities markets. J. of Econom. Perspectives (1993) 7:117–134Crossref, Google Scholar
- , Dietrich B., Vohra R. V. Linear programming and Vickrey auctions. Mathematics of the Internet: E-Auction and Markets. The IMA Volumes in Mathematics and Its Applications (2002) 127(Springer-Verlag, New York) 75–116Crossref, Google Scholar
- Competitive equilibrium in an exchange economy with indivisibilities. J. of Econom. Theory (1997) 74:385–413Crossref, Google Scholar
- The package assignment model. (2001) . Manuscript, The Anderson School, UCLA, Los Angeles, CAGoogle Scholar
- The biggest auction ever: the sale of the British 3G telecom licences. Econom. J. (2002) 112:C74–C96Google Scholar
- Approximating maximum independent sets by excluding subgraphs. BIT (1992) 32:180–196Crossref, Google Scholar
- Decentralized computation procurement and computational robustness in a smart market. Econom. Theory (1999) 13:41–92Crossref, Google Scholar
- Mutually destructive bidding: the FCC auction design problem. J. of Regulatory Econom. (2000) 17:205–228Crossref, Google Scholar
- An optimization based bidding process: A new framework for shipper-carrier relationships. (1996) . Thesis, Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, MAGoogle Scholar
- Multipart pricing of public goods. Public Choice (1971) 8:19–33Google Scholar
- On the 0-1 facets of the set covering polytope. Math. Programming (1989) 43:45–56Crossref, Google Scholar
- , Cave S. Majumdar, Vogelsang I. Spectrum auctions. In M. Handbook of Telecommunications Economics (2002) (Elsevier Science B.V., Amsterdam, The Netherlands) Google Scholar
- A compendium of NP optimization problems. (1995) . Technical report SI/RR-95/02, Dipartimento di Scienze dell'Informazione, Università di Roma “La Sapienza,” Italy. http://www.nada.kth.se/theory/compendium/. Continuously updatedGoogle Scholar
- Cybernomics, Inc. An experimental comparison of the simultaneous multi-round auction and the CRA combinatorial auction. (2000) . http://combin.fcc.gov/98540193.pdfGoogle Scholar
- Linear Programming and Extensions (1963) (Princeton University Press, Princeton, NJ) Crossref, Google Scholar
- , Dietrich B., Vohra R. V. Price negotiations for procurement of direct inputs. In. Mathematics of the Internet: E-Auction and Markets. The IMA Volumes in Mathematics and Its Applications (2002) 127(Springer-Verlag, New York) 27–44Crossref, Google Scholar
- A new and improved design for multi-object iterative auctions. (1999) . Social Science Working Paper No. 1054, Division of the Humanities and Social Sciences, California Institute of Technology, Pasadena, CAGoogle Scholar
- Auctions and the German UMTS-auction. Mitteilungen der DMV (2001a) No. 1:31–38Crossref, Google Scholar
- A solver for winner determination for combinatorial auctions. (2001b) . Manuscript, Zentrum Mathematik, TU München, München, GermanyGoogle Scholar
- , Dietrich B., Vohra R. V. A column generation approach for combinatorial auctions. Mathematics of the Internet: E-Auction and Markets. The IMA Volumes in Mathematics and Its Applications (2002) 127(Springer-Verlag, New York) 15–26Crossref, Google Scholar
- Parallel branch and cut for set partitioning. (1999) . Ph.D. thesis, School of Operations Research and Industrial Engineering, Cornell University, Ithaca, NYGoogle Scholar
- Multi-good efficient auctions with multi-dimensional information. (2000) . Working paper, Kellogg School of Management, Northwestern University, Evanston, ILGoogle Scholar
- Game Theory (1992) (MIT Press, Cambridge, MA) Google Scholar
- Taming the computational complexity of combinatorial auctions: optimal and approximate approaches. Proc. of IJCAI-99 (1999) Stockholm, Sweden:548–553Google Scholar
- A linear programming approach to the cutting stock problem. Oper. Res. (1961) 9:849–859Link, Google Scholar
- Optimal solutions for multi-unit combinatorial auctions: branch-and-bound heuristics. ACM Conf. on Electronic Commerce (EC-00) (2000) Minneapolis, MN:13–20Crossref, Google Scholar
- An auction method for course registration. Interfaces (1993) 23:81–92Link, Google Scholar
- The third generation (UMTS) spectrum auction in Germany. (2001) . Manuscript, Institute of Economic Theory I, Humboldt University of Berlin, Berlin, GermanyGoogle Scholar
- Geometric Algorithms and Combinatorial Optimization (1988) (Springer-Verlag, Berlin Heidelberg, Germany) Crossref, Google Scholar
- Incentives in teams. Econometrica (1973) 41:617–631Crossref, Google Scholar
- Stability in circular arc graphs. J. Algorithms (1988) 9:314–320Crossref, Google Scholar
- English and double auctions with differentiated commodities. J. of Econom. Theory (2000) 92:66–95Crossref, Google Scholar
- Clique is hard to approximate within n1-ε. Acta Mathematica (1999) 182:105–142Crossref, Google Scholar
- Vickrey prices and shortest paths: What is an edge worth? 42nd Annual Sympos. on Foundations of Comput. Sci. (FOCS) (2001) (Las Vegas, NV)129–140Crossref, Google Scholar
- Evaluation of a truthful revelation auction in the context of energy markets with nonconcave benefits. J. of Regulatory Econom. (2000) 18:5–32Crossref, Google Scholar
- Solving airline crew scheduling problems by branch and cut. Management Sci. (1993) 39:657–682Link, Google Scholar
- Robustness of the incentive compatible combinatorial auction. (1998) . Manuscript, Department of Economics, University of Arizona, Tucson, AZGoogle Scholar
- Technology for spectrum markets. (1976) . Ph.D. thesis, Department of Electrical Engineering, Massachusetts Institute of Technology, Cambridge, MAGoogle Scholar
- Efficient design with interdependent valuations. Econometrica (2001a) 69:1237–1259Crossref, Google Scholar
- The European UMTS/IMT-2000 license auctions. (2001b) . Discussion paper, Faculty of Economics, University of Mannheim, Mannheim, GermanyGoogle Scholar
- note on revenue maximization and efficiency in multi-object auctions. Econom. Bull. (2001c) 3:1–5Google Scholar
- Multidimensional mechanism design for auctions with externalities. J. of Econom. Theory (1999) 85:258–294Crossref, Google Scholar
- Equity and efficiency of unit commitment in competitive electricity markets. Utilities Policy (1997) 6:9–20Crossref, Google Scholar
- Behavior in multi-unit demand auctions: Experiments with uniform price and dynamic Vickrey auctions. Econometrica (2001) 69:413–454Crossref, Google Scholar
- On the complexity of scheduling tasks with discrete starting times. Oper. Res. Lett. (1992) 12:293–295Crossref, Google Scholar
- Job matching, coalition formation and gross substitutes. Econometrica (1982) 50:1483–1504Crossref, Google Scholar
- A combinatorial auction with multiple winners for universal service. Management Sci. (2000) 46:586–596Link, Google Scholar
- What really matters in auction design. J. of Econom. Perspectives (2002) 16:169–190Crossref, Google Scholar
- Efficient mechanism design. (1998) . Manuscript, Department of Economics, The Pennsylvania State University, University Park, PAGoogle Scholar
- Simultaneous auctions with synergies. Games and Econom. Behavior (1996) 17:1–31Crossref, Google Scholar
- On combinatorial auction and Lagrangean relaxation for distributed resource scheduling. IIE Trans. (1999) 31:813–826Crossref, Google Scholar
- The first use of a combined value auction for transportation services. (2000) . Social Science Working Paper No. 1093, Division of the Humanities and Social Sciences, California Institute of Technology, Pasadena, CAGoogle Scholar
- Truth revelation in rapid, approximately efficient combinatorial auctions. Proc. ACM Conf. on Electronic Commerce (EC-99) (1999) Denver, CO:96–102Google Scholar
- An optimal auction for complements. Games and Econom. Behavior (1997) 18:176–192Crossref, Google Scholar
- An algorithm for multi-unit combinatorial auctions. Proc. of the Seventeenth National Conf. on Artificial Intelligence and Twelfth Conference on Innovative Applications of Artificial Intelligence (2000a) Austin, TX:56–61Google Scholar
- Towards a universal test suite for combinatorial auction algorithms. Proc. ACM Conf. on Electronic Commerce (EC-00) (2000b) Minneapolis, MN:66–76Crossref, Google Scholar
- Matching theory. Annals of Discrete Mathematics (1986) (29. North-Holland, Elsevier, Amsterdam, The Netherlands)Google Scholar
- Microeconomic Theory (1995) (Oxford University Press, New York) Google Scholar
- Auctioning the radio spectrum. Auction Theory for Privatization (1995) (Cambridge University Press, Cambridge, England) . ForthcomingGoogle Scholar
- Asymptotically optimal multi-object auctions for risk-averse agents. (2000) . Manuscript, Faculty of Industrial Engineering and Management, Technion—Israel Institute of Technology, Haifa, IsraelGoogle Scholar
- New characterizations of M-convex functions and connections to mathematical economics. (2000) . RIMS Preprint 1307, Research Institute for Mathematical Sciences, Kyoto University, Kyoto, JapanGoogle Scholar
- Optimal auction design. Math. of Oper. Res. (1981) 6:58–73Link, Google Scholar
- Privacy preserving auctions and mechanism design. Proc. ACM Conf. on Electronic Commerce (EC-99) (1999) Denver, CO:129–139Crossref, Google Scholar
- Integer and Combinatorial Optimization (1988) (John Wiley, New York) Crossref, Google Scholar
- Bidding and allocation in combinatorial auctions. Proc. ACM Conf. on Electronic Commerce (EC-00) (2000) Minneapolis, MN:1–12Crossref, Google Scholar
- Computationally feasible VCG mechanisms. Proc. ACM Conf. on Electronic Commerce (EC-00) (2000) Minneapolis, MN:242–252Crossref, Google Scholar
- The communications complexity of efficient allocation problems. (2002) . Working paper, Institute of Computer Science, Hebrew University, Jerusalem, IsraelGoogle Scholar
- On the facial structure of set packing polyhedra. Math. Programming (1973) 5:199–215Crossref, Google Scholar
- On the complexity of the set packing polyhedra. Ann. of Discrete Math. (1975) 1:421–434Crossref, Google Scholar
- Covering, packing and knapsack problems. Ann. of Discrete Math. (1979) 4:265–287Crossref, Google Scholar
- Combinatorial Optimization (1982) (Prentice-Hall, Inc., Englewood Cliffs, NJ) Google Scholar
- iBundle: an efficient ascending price bundle auction. Proc. ACM Conf. on Electronic Commerce (EC-99) (1999) Denver, CO:148–157Crossref, Google Scholar
- Iterative combinatorial auctions: theory and practice. Proc. 17th National Conf. on Artificial Intelligence (2000) Austin, TX:74–81Google Scholar
- A combinatorial auction mechanism for airport time slot allocation. Bell J. of Econom. (1982) 13:402–417Crossref, Google Scholar
- The economics of multidimensional screening. (2001) . Manuscript, Graduate School of Business, University of Chicago, Chicago, ILGoogle Scholar
- Computationally manageable combinatorial auctions. Management Science (1998) 44:1131–1147Link, Google Scholar
- An algorithm for optimal winner determination in combinatorial auctions. Proc. of IJCAI-99 (1999) Stockholm, Sweden:542–547Google Scholar
- On the facial structure of the set covering polytope. Math. Programming (1989) 44:181–202Crossref, Google Scholar
- Theory of Linear and Integer Programming (1986) (John Wiley, New York) Google Scholar
- Portfolio trading and electronic networks. (1998) . Working paper, Center for Research in Electronic Commerce, The University of Texas at Austin, Austin, TexasGoogle Scholar
- Gambling on vacation. Interfaces (1985) 15:63–67Link, Google Scholar
- Optimization in electronic markets: examples in combinatorial auctions. Netnomics (2001) 3:23–33Crossref, Google Scholar
- Counterspeculation, auctions, and competitive sealed tenders. J. of Finance (1961) 16:8–37Crossref, Google Scholar
- Auction protocols for decentralized scheduling. Games and Econom. Behavior (2001) 35:271–303Crossref, Google Scholar
- A characterization of efficient, Bayesian incentive compatible mechanisms. Econom. Theory (1999) 14:155–180Crossref, Google Scholar
- Integer programming duality: Price functions and sensitivity analysis. Math. Programming (1981) 20:173–195Crossref, Google Scholar
- AkBA: A progressive, anonymous-price combinatorial auction. Proc. Second ACM Conf. on Electronic Commerce (EC-00) (2000) Minneapolis, MN:21–29Crossref, Google Scholar
- Improving the computational efficiency of combinatorial auction algorithms. (1999) . EnerSearch Public Report:EnS 99:08, EnerSearch AB, Göteborg, SwedenGoogle Scholar
- Robust combinatorial auction protocol against false-name bids. Artificial Intelligence J. (2001) 130:167–181Crossref, Google Scholar

