Optimal Mechanism Design for a Sequencing Problem with Two-Dimensional Types

Published Online:https://doi.org/10.1287/opre.2016.1522

References

  • Alaei S, Fu H, Haghpanah N, Hartline J, Malekian A (2012) Bayesian optimal auctions via multi- to single-agent reduction. Proc. 13th ACM Conf. Electronic Commerce, EC ’12, Vol. 17 (ACM, New York).CrossrefGoogle Scholar
  • Cai Y, Daskalakis C, Weinberg SM (2012) Optimal multi-dimensional mechanism design: Reducing revenue to welfare maximization. Proc. 53rd Annual Sympos. Foundations Comput. Sci., FOCS ’12, Vol. 130–139 (IEEE Computer Society, Washington, DC).CrossrefGoogle Scholar
  • Chawla S, Sivan B (2014) Bayesian algorithmic mechanism design. ACM SIGecom Exchanges 13(1):5–49.CrossrefGoogle Scholar
  • Conitzer V, Sandholm T (2002) Complexity of mechanism design. Darwiche A, Friedman N, eds. Uncertainty in Artificial Intelligence (UAI 2002) (Morgan Kaufmann, San Francisco), 103–110.Google Scholar
  • Daskalakis C, Weinberg M (2012) Symmetries and optimal multi-dimensional mechanism design. Proc. 13th ACM Conference on Electronic Commerce (ACM, New York), 370–387.CrossrefGoogle Scholar
  • Duives J, Heydenreich B, Mishra D, Müller R, Uetz M (2015) On optimal mechanism design for a sequencing problem. J. Scheduling 18(1):45–59.CrossrefGoogle Scholar
  • Dyer ME, Wolsey LA (1990) Formulating the single machine sequencing problem with release dates as a mixed integer program. Discrete Appl. Math. 26(2–3):255–270.CrossrefGoogle Scholar
  • Edmonds J (1971) Matroids and the greedy algorithm. Math. Programming 1(1):127–136.CrossrefGoogle Scholar
  • Fishburn PC (1992) Induced binary probabilities and the linear ordering polytope: a status report. Math. Soc. Sci. 23(1):67–80.CrossrefGoogle Scholar
  • Fonlupt J, Skoda A (2009) Strongly polynomial algorithm for the intersection of a line with a polymatroid. Cook W, Lovász L, Vygen J, eds. Research Trends in Combinatorial Optimization (Springer, Berlin), 69–85.CrossrefGoogle Scholar
  • Gershkov A, Goeree JK, Kushnir A, Moldovanu B, Shi X (2013) On the equivalence of Bayesian and dominant strategy implementation. Econometrica 81(1):197–220.CrossrefGoogle Scholar
  • Grötschel M, Lovász L, Schrijver A (1988) Geometric Algorithms and Combinatorial Optimization. Algorithms and Combinatorics (Springer, Berlin).CrossrefGoogle Scholar
  • Hart S, Nisan N (2014) How good are simple mechanisms for selling multiple goods? Technical Report DP-666, The Hebrew University of Jerusalem, Center for Rationality.Google Scholar
  • Hart S, Reny P (2015) Maximal revenue with multiple goods: Nonmonotonicity and other observations. Theor. Econom. 10(3):893–922.CrossrefGoogle Scholar
  • Hartline JD, Karlin A (2007) Profit maximization in mechanism design. Nisan N, Roughgarden T, Tardos É, Vazirani V, eds. Algorithmic Game Theory, Chap. 13 (Cambridge University Press, New York), 331–362.CrossrefGoogle Scholar
  • Heydenreich B, Mishra D, Müller R, Uetz M (2008) Optimal mechanisms for single machine scheduling. Papadimitriou C, Zhang S, eds. Proc. 3rd Internat. Workshop Internet Network Econom., WINE ’08, Lecture Notes in Computer Science, Vol. 5385 (Springer, Berlin), 414–425.CrossrefGoogle Scholar
  • Hoeksma R, Uetz M (2013) Two dimensional optimal mechanism design for a sequencing problem. Goemans MX, Correa JR, eds. Proc. 16th Internat. Conf. Integer Programming and Combinatorial Optimization, IPCO ’13, Lecture Notes in Computer Science, Vol. 7801 (Springer, Berlin), 242–253.CrossrefGoogle Scholar
  • Hoeksma R, Manthey B, Uetz M (2014) Decomposition algorithm for the single machine scheduling polytope. Fouilhoux P, Gouveia L, Mahjoub A, Paschos V, eds. Combinatorial Optimization (ISCO 2014), Lecture Notes in Computer Science, Vol. 8596 (Springer, Berlin), 280–291.CrossrefGoogle Scholar
  • Kenis P (2006) Waiting lists in Dutch health care: An analysis from an organization theoretical perspective. J. Health Organ. Management 20(4):294–308.CrossrefGoogle Scholar
  • Manelli AM, Vincent DR (2010) Bayesian and dominant-strategy implementation in the independent private-values model. Econometrica 78(6):1905–1938.CrossrefGoogle Scholar
  • Myerson RB (1981) Optimal auction design. Math. Oper. Res. 6(1):58–73.LinkGoogle Scholar
  • Nisan N (2007) Introduction to mechanism design (for computer scientists). Nisan N, Roughgarden T, Tardos E, Vazirani V, eds. Algorithmic Game Theory, Chap. 9 (Cambridge University Press, New York), 209–242.CrossrefGoogle Scholar
  • Queyranne M (1993) Structure of a simple scheduling polyhedron. Math. Programming 58(1–3):263–285.CrossrefGoogle Scholar
  • Queyranne M, Schulz AS (1994) Polyhedral approaches to machine scheduling. Technical Report 408/1994, TU Berlin.Google Scholar
  • Rothkopf MH (1966) Scheduling with random service times. Management Sci. 12(9):703–713.LinkGoogle Scholar
  • Sandholm T (2003) Automated mechanism design: A new application area for search algorithms. Rossi F, ed. Principles and Practice of Constraint Programming (CP2003), Lecture Notes in Computer Science, Vol. 2833 (Springer, Berlin), 19–36.CrossrefGoogle Scholar
  • Smith WE (1956) Various optimizers for single-stage production. Naval Res. Logist. Quart. 3(1–2):59–66.CrossrefGoogle Scholar
  • Vohra RV (2011) Mechanism Design—A Linear Programming Approach, Econometric Society Monographs (Cambridge University Press, Cambridge, UK).CrossrefGoogle Scholar
  • Vohra RV (2012) Optimization and mechanism design. Math. Programming 134(1):283–303.CrossrefGoogle Scholar
  • Yasutake S, Hatano K, Kijima S, Takimoto E, Takeda M (2011) Online linear optimization over permutations. Asano T, Nakano S-I, Okamoto Y, Watanabe O, eds. Algorithms and Computation (ISAAC 2011), Lecture Notes in Computer Science, Vol. 7074 (Springer, Berlin), 534–543.CrossrefGoogle Scholar
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