An Ascending Vickrey Auction for Selling Bases of a Matroid

Published Online:https://doi.org/10.1287/opre.1100.0888

References

  • Ausubel L. M. An efficient ascending-bid auction for multiple objects. Amer. Econom. Rev. (2004) 94(5):1452–1475CrossrefGoogle Scholar
  • Ausubel L. M. An efficient dynamic auction for heterogeneous commodities. Amer. Econom. Rev. (2006) 96(3):602–629CrossrefGoogle Scholar
  • Ausubel L. M., Milgrom P. R. Ascending auctions with package bidding. Frontiers Theoret. Econom. (2002) 1(1):1–42Google Scholar
  • Babaioff M., Nisan N., Pavlov E. Mechanisms for a spatially distributed market. Proc. Fifth ACM Conf. Electronic Commerce (2004) (ACM, New York) 9–20CrossrefGoogle Scholar
  • Bikhchandani S., Ostroy J. M. The package assignment model. J. Econom. Theory (2002) 107(2):377–406CrossrefGoogle Scholar
  • Bikhchandani S., de Vries S., Schummer J., Vohra R. V. Ascending auctions for integral (poly)matroids with concave nondecreasing separable values. SODA '08: Proc. Nineteenth Annual ACM-SIAM Sympos. Discrete Algorithms (2008) (Society for Industrial and Applied Mathematics, Philadelphia) 864–873Google Scholar
  • Clarke E. H. Multipart pricing of public goods. Public Choice (1971) 11(1):17–33CrossrefGoogle Scholar
  • Cramton P. Ascending auctions. Eur. Econom. Rev. (1998) 42(3–5):745–756CrossrefGoogle Scholar
  • Dawson J. E. Optimal matroid bases: An algorithm based on cocircuits. Quart. J. Math. (1980) 31(2):65–69CrossrefGoogle Scholar
  • Demange G., Gale D., Sotomayor M. Multi-item auctions. J. Political Econom. (1986) 94:863–872CrossrefGoogle Scholar
  • de Vries S., Schummer J., Vohra R. V. On ascending Vickrey auctions for heterogeneous objects. J. Econom. Theory (2007) 132(1):95–118CrossrefGoogle Scholar
  • Edmonds J., Fulkerson D. R. Transversals and matroid partition. J. Res. National Bureau Standards (1965) 69B(3):147–153CrossrefGoogle Scholar
  • Federgruen A., Groenevelt H. Optimal flows in networks with multiple sources and sinks, with applications to oil and gas lease investment programs. Oper. Res. (1986) 34(2):218–225LinkGoogle Scholar
  • Fujishige S. Lexicographically optimal base of a polymatroid with respect to a weight vector. Math. Oper. Res. (1980) 5(2):186–196LinkGoogle Scholar
  • Grigorieva E., Herings P. J.-J., Müller R., Vermeulen D. The private value single item bisection auction. Econom. Theory (2007) 30(1):107–118CrossrefGoogle Scholar
  • Groenevelt H. Two algorithms for maximizing a separable concave function over a polymatroid feasible region. Eur. J. Oper. Res. (1991) 54(2):227–236CrossrefGoogle Scholar
  • Groves T. Incentives in teams. Econometrica (1973) 41(4):617–631CrossrefGoogle Scholar
  • Gul F., Stacchetti E. The English auction with differentiated commodities. J. Econom. Theory (2000) 92(1):66–95CrossrefGoogle Scholar
  • Helgason T., Berge C., Ray-Chaudhuri D. Aspects of the theory of hypermatroids. Proc. Working Seminar Hypergraphs (1974) 1972Columbus, Ohio(Springer, Berlin) 191–213Lecture Notes in Mathematics, Vol. 411CrossrefGoogle Scholar
  • Kelso A. S., Crawford V. P. Job matching, coalition formation and gross substitutes. Econometrica (1982) 50(6):1483–1504CrossrefGoogle Scholar
  • Korte B., Lovász L. Greedoids and linear objective functions. SIAM J. Algebraic Discrete Methods (1984) 5(2):229–238CrossrefGoogle Scholar
  • Lawler E. L. Covering problems: Duality relations and a new method of solution. SIAM J. Appl. Math. (1966) 14(5):1115–1132CrossrefGoogle Scholar
  • Makowski L., Ostroy J. M. Vickrey-Clarke-Groves mechanisms and perfect competition. J. Econom. Theory (1987) 42(2):244–261CrossrefGoogle Scholar
  • Mishra D., Parkes D. C. Ascending price Vickrey auctions for general valuations. J. Econom. Theory (2007) 132(1):335–366CrossrefGoogle Scholar
  • Moore J., Repullo R. Subgame perfect implementation. Econometrica (1988) 56(5):1191–1220CrossrefGoogle Scholar
  • Nagano K., Fischetti M., Williamson D. P. On convex minimization over base polytopes. Integer Programming Combin. Optim.—12th IPCO Conf. Proc., Vol. 4513 (2007) Ithaca, NY(Springer, Berlin) 252–266Lecture Notes in Computer ScienceCrossrefGoogle Scholar
  • Oxley J. G.Matroid Theory (1992) (Oxford University Press, Oxford, UK) Google Scholar
  • Parkes D. C., Ungar L. H. Iterative combinatorial auctions: Theory and practice. Proc. 17th National Conf. Artificial Intelligence (2000a) Austin, TX(AAAI Press/MIT Press, Cambridge, MA) 74–81Google Scholar
  • Parkes D. C., Ungar L. H. Preventing strategic manipulation in iterative auctions: Proxy agents and price adjustment. Proc. 17th National Conf. Artificial Intelligence (2000b) Austin, TX(AAAI Press/MIT Press, Cambridge, MA) 82–89Google Scholar
  • Perry M., Reny P. J. An efficient multi-unit ascending auction. Rev. Econom. Stud. (2005) 72(2):567–592CrossrefGoogle Scholar
  • Roth A. E., Sönmez T., Ünver M. U. Pairwise kidney exchange. J. Econom. Theory (2005) 125(2):151–188CrossrefGoogle Scholar
  • Schrijver A.Combinatorial Optimization, 1st ed. Algorithms and Combinatorics (2003) 24(Springer Verlag, Berlin, Germany) Google Scholar
  • Shanthikumar J. G., Yao D. D. Multiclass queueing systems: Polymatroidal structure and scheduling control. Oper. Res. (1992) 40(3, Suppl. 2):S293–S299LinkGoogle Scholar
  • Tse D. N. C., Hanly S. V. Multiaccess fading channels-part I: Polymatroid structure, optimal resource allocation and throughput capacities. IEEE Trans. Inform. Theory (1998) 44(7):2796–2815CrossrefGoogle Scholar
  • Vickrey W. Counterspeculation, auctions, and competitive sealed tenders. J. Finance (1961) 16(1):8–37CrossrefGoogle Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.