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Multidimensional mechanism design: Revenue maximization and the multiple-good monopoly

Citations

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Cited by:

  1. Pavlov Gregory, 2011. "Optimal Mechanism for Selling Two Goods," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-35, February.
  2. Hart, Sergiu & Nisan, Noam, 2017. "Approximate revenue maximization with multiple items," Journal of Economic Theory, Elsevier, vol. 172(C), pages 313-347.
  3. Chawla, Shuchi & Malec, David & Sivan, Balasubramanian, 2015. "The power of randomness in Bayesian optimal mechanism design," Games and Economic Behavior, Elsevier, vol. 91(C), pages 297-317.
  4. Kento Hashimoto & Keita Kuwahara & Reo Nonaka, 2025. "Selling Multiple Items to a Unit-Demand Buyer via Automated Mechanism Design," Papers 2502.10086, arXiv.org, revised Jan 2026.
  5. Santiago Balseiro & Omar Besbes & Francisco Castro, 2021. "Mechanism Design under Approximate Incentive Compatibility," Papers 2103.03403, arXiv.org, revised Mar 2022.
  6. , & , J., 2015. "Maximal revenue with multiple goods: nonmonotonicity and other observations," Theoretical Economics, Econometric Society, vol. 10(3), September.
  7. Ketelaar, Felix & Szalay, Dezsö, 2014. "Pricing a Package of Services - When (not) to bundle," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 487, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
  8. Debasis Mishra & Kolagani Paramahamsa, 2022. "Selling to a principal and a budget-constrained agent," Discussion Papers 22-02, Indian Statistical Institute, Delhi.
  9. Pavlov Gregory, 2011. "A Property of Solutions to Linear Monopoly Problems," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-18, February.
  10. Shivam Gupta & Shouqiang Wang & Milind Dawande & Ganesh Janakiraman, 2021. "Procurement with Cost and Noncost Attributes: Cost-Sharing Mechanisms," Operations Research, INFORMS, vol. 69(5), pages 1349-1367, September.
  11. Tang, Pingzhong & Wang, Zihe, 2017. "Optimal mechanisms with simple menus," Journal of Mathematical Economics, Elsevier, vol. 69(C), pages 54-70.
  12. Bergemann, Dirk & Castro, Francisco & Weintraub, Gabriel Y., 2020. "The scope of sequential screening with ex post participation constraints," Journal of Economic Theory, Elsevier, vol. 188(C).
  13. Alexandre Belloni & Giuseppe Lopomo & Shouqiang Wang, 2010. "Multidimensional Mechanism Design: Finite-Dimensional Approximations and Efficient Computation," Operations Research, INFORMS, vol. 58(4-part-2), pages 1079-1089, August.
  14. Carbajal, Juan Carlos & Müller, Rudolf, 2015. "Implementability under monotonic transformations in differences," Journal of Economic Theory, Elsevier, vol. 160(C), pages 114-131.
  15. Manelli, Alejandro M. & Vincent, Daniel R., 2012. "Multidimensional mechanism design: Revenue maximization and the multiple-good monopoly. A corrigendum," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2492-2493.
  16. Cantillon, Estelle & Asker, John, 2005. "Optimal Procurement When Both Price and Quality Matter," CEPR Discussion Papers 5276, C.E.P.R. Discussion Papers.
  17. Seung Han Yoo, 2018. "Membership Mechanisms," Discussion Paper Series 1804, Institute of Economic Research, Korea University.
  18. Frank Yang & Kai Hao Yang, 2025. "Multidimensional Monotonicity and Economic Applications," Cowles Foundation Discussion Papers 2428R1, Cowles Foundation for Research in Economics, Yale University.
  19. Hagen, Martin & Hernando-Veciana, Ángel, 2021. "Multidimensional bargaining and posted prices," Journal of Economic Theory, Elsevier, vol. 196(C).
  20. Mohammad T. Hajiaghayi & Piotr Krysta & Mohammad Mahdavi & Suho Shin, 2025. "Delegation with Costly Inspection," Papers 2506.07162, arXiv.org, revised Jun 2025.
  21. Peck, James & Rampal, Jeevant, 2019. "Non-optimality of state by state monopoly pricing with demand uncertainty: An example," Economics Letters, Elsevier, vol. 183(C), pages 1-1.
  22. Kazumura, Tomoya & Mishra, Debasis & Serizawa, Shigehiro, 2020. "Strategy-proof multi-object mechanism design: Ex-post revenue maximization with non-quasilinear preferences," Journal of Economic Theory, Elsevier, vol. 188(C).
  23. Jean‐Charles Rochet & John Thanassoulis, 2019. "Intertemporal price discrimination with two products," RAND Journal of Economics, RAND Corporation, vol. 50(4), pages 951-973, December.
  24. Mierendorff, Konrad, 2016. "Optimal dynamic mechanism design with deadlines," Journal of Economic Theory, Elsevier, vol. 161(C), pages 190-222.
  25. Chen, Bo & Ni, Debing, 2017. "Optimal bundle pricing under correlated valuations," International Journal of Industrial Organization, Elsevier, vol. 52(C), pages 248-281.
  26. Yeon-Koo Che & Weijie Zhong, 2021. "Robustly Optimal Mechanisms for Selling Multiple Goods," Papers 2105.02828, arXiv.org, revised Aug 2024.
  27. Menicucci, Domenico & Hurkens, Sjaak & Jeon, Doh-Shin, 2015. "On the optimality of pure bundling for a monopolist," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 33-42.
  28. Frank Yang, 2022. "The Simple Economics of Optimal Bundling," Papers 2212.12623, arXiv.org, revised Apr 2023.
  29. Mehmet Ekmekci & Nenad Kos & Rakesh Vohra, 2016. "Just Enough or All: Selling a Firm," American Economic Journal: Microeconomics, American Economic Association, vol. 8(3), pages 223-256, August.
  30. Naomi Utgoff, 2022. "Informational Hold Up and Intermediaries," Games, MDPI, vol. 13(5), pages 1-14, September.
  31. Mishra, Debasis & Patil, Sanket, 2025. "Undominated monopoly regulation," Journal of Economic Theory, Elsevier, vol. 228(C).
  32. Stéphane Gauthier & Guy Laroque, 2021. "Certainty Equivalence and Noisy Redistribution," Sciences Po Economics Publications (main) halshs-03359574, HAL.
  33. Tridib Sharma & Levent Ülkü, 2015. "Money-Back Guarantees," Working Papers 1502, Centro de Investigacion Economica, ITAM.
  34. Zhi Chen & Zhenyu Hu & Ruiqin Wang, 2024. "Screening with Limited Information: A Dual Perspective," Operations Research, INFORMS, vol. 72(4), pages 1487-1504, July.
  35. Lev, Omer, 2011. "A two-dimensional problem of revenue maximization," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 718-727.
  36. Sandomirskiy, Fedor & Ushchev, Philip, 2024. "The geometry of consumer preference aggregation," CEPR Discussion Papers 19100, C.E.P.R. Discussion Papers.
  37. Pasha Andreyanov & Ilia Krasikov & Alex Suzdaltsev, 2026. "Reduced Forms: Feasibility, Extremality, Optimality," Papers 2602.17812, arXiv.org.
  38. Komal Malik & Kolagani Paramahamsa, 2024. "Selling two complementary goods," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(2), pages 423-447, June.
  39. Runco Mariano G, 2010. "A Note on the Multidimensional Monopolist Problem and Intertemporal Price Discrimination," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-8, August.
  40. Christoph Hertrich & Yixin Tao & László A. Végh, 2026. "Mode Connectivity in Auction Design," Mathematics of Operations Research, INFORMS, vol. 51(1), pages 456-475, January.
  41. Shixin Wang, 2024. "Multi-Item Screening with a Maximin-Ratio Objective," Papers 2408.13580, arXiv.org, revised Oct 2025.
  42. Alexandre Belloni & Changrong Deng & Saša Pekeč, 2017. "Mechanism and Network Design with Private Negative Externalities," Operations Research, INFORMS, vol. 65(3), pages 577-594, June.
  43. Nicholas C. Bedard & Jacob K. Goeree, 2023. "Tropical Analysis: With an Application to Indivisible Goods," Papers 2308.04593, arXiv.org.
  44. Jiayin Liu & Chenglong Zhang, 2025. "Deep Learning for Double Auction," Papers 2504.05355, arXiv.org, revised Jul 2025.
  45. Srinivas Tunuguntla & Carl F. Mela & Jason Pratt, 2026. "Targeting Information in Ad Auction Mechanisms," Papers 2601.09541, arXiv.org.
  46. Rui Sun, 2026. "The Screening Cost of Liquidity," Papers 2604.06447, arXiv.org.
  47. Narvin Kartik & Andreas Kleiner, 2025. "Convex Choice," CRC TR 224 Discussion Paper Series crctr224_2025_676, University of Bonn and University of Mannheim, Germany.
  48. Chaithanya Bandi & Dimitris Bertsimas, 2014. "Optimal Design for Multi-Item Auctions: A Robust Optimization Approach," Mathematics of Operations Research, INFORMS, vol. 39(4), pages 1012-1038, November.
  49. Alexey Kushnir & James Michelson, 2022. "Optimal Multi-Dimensional Auctions: Conjectures and Simulations," Papers 2207.01664, arXiv.org.
  50. Tomer Siedner, 2019. "Optimal pricing by a risk-averse seller," Discussion Paper Series dp725, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
  51. Moshe Babaioff & Linda Cai & Brendan Lucier, 2024. "Bundling in Oligopoly: Revenue Maximization with Single-Item Competitors," Papers 2406.13835, arXiv.org.
  52. Debasis Mishra & Kolagani Paramahamsa, 2018. "Selling to a naive agent with two rationales," Discussion Papers 18-03, Indian Statistical Institute, Delhi.
  53. Schäfers, Sebastian, 2022. "Product Lotteries and Loss Aversion," Working papers 2022/06, Faculty of Business and Economics - University of Basel.
  54. Chen, Xi & Diakonikolas, Ilias & Paparas, Dimitris & Sun, Xiaorui & Yannakakis, Mihalis, 2018. "The complexity of optimal multidimensional pricing for a unit-demand buyer," Games and Economic Behavior, Elsevier, vol. 110(C), pages 139-164.
  55. Rangeet Bhattacharyya & Parvik Dave & Palash Dey & Swaprava Nath, 2022. "Optimal Referral Auction Design," Papers 2208.09326, arXiv.org, revised Jul 2023.
  56. John Asker & Estelle Cantillon, 2010. "Procurement when price and quality matter," RAND Journal of Economics, RAND Corporation, vol. 41(1), pages 1-34, March.
  57. James Peck & Jeevant Rampal, 2021. "Optimal Monopoly Mechanisms with Demand Uncertainty," Mathematics of Operations Research, INFORMS, vol. 46(4), pages 1413-1429, November.
  58. Ranojoy Basu & Conan Mukherjee, 2024. "Strategy-Proof Multidimensional Mechanism Design," Mathematics of Operations Research, INFORMS, vol. 49(4), pages 2768-2785, November.
  59. Santiago R. Balseiro & Omar Besbes & Francisco Castro, 2024. "Mechanism Design Under Approximate Incentive Compatibility," Operations Research, INFORMS, vol. 72(1), pages 355-372, January.
  60. Rochet, Jean-Charles, 2024. "Multidimensional screening after 37 years," Journal of Mathematical Economics, Elsevier, vol. 113(C).
  61. Zeng, Yishu, 2023. "Derandomization of persuasion mechanisms," Journal of Economic Theory, Elsevier, vol. 212(C).
  62. Chatterji, Shurojit & Sen, Arunava & Zeng, Huaxia, 2014. "Random dictatorship domains," Games and Economic Behavior, Elsevier, vol. 86(C), pages 212-236.
  63. Omer Lev, 2010. "A Two-Dimensional Problem of Revenue Maximization," Discussion Paper Series dp542, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
  64. Zhiming Feng, 2025. "A Constructive Characterization of Optimal Bundling," Papers 2502.07863, arXiv.org, revised Oct 2025.
  65. Jason D. Hartline, 2012. "Approximation in Mechanism Design," American Economic Review, American Economic Association, vol. 102(3), pages 330-336, May.
  66. Sergiu Hart & Noam Nisan, 2013. "Selling Multiple Correlated Goods: Revenue Maximization and Menu-Size Complexity (old title: "The Menu-Size Complexity of Auctions")," Papers 1304.6116, arXiv.org, revised Nov 2018.
  67. Cai, Yang & Daskalakis, Constantinos, 2015. "Extreme value theorems for optimal multidimensional pricing," Games and Economic Behavior, Elsevier, vol. 92(C), pages 266-305.
  68. Beccuti, Juan & Möller, Marc, 2018. "Dynamic adverse selection with a patient seller," Journal of Economic Theory, Elsevier, vol. 173(C), pages 95-117.
  69. Wanchang Zhang, 2022. "Auctioning Multiple Goods without Priors," Papers 2204.13726, arXiv.org.
  70. Ran Ben-Moshe & Sergiu Hart & Noam Nisan, 2022. "Monotonic Mechanisms for Selling Multiple Goods," Papers 2210.17150, arXiv.org, revised Jun 2024.
  71. Mishra, Debasis & Pramanik, Anup & Roy, Souvik, 2014. "Multidimensional mechanism design in single peaked type spaces," Journal of Economic Theory, Elsevier, vol. 153(C), pages 103-116.
  72. , & ,, 2013. "Implementation in multidimensional dichotomous domains," Theoretical Economics, Econometric Society, vol. 8(2), May.
  73. Azar, Pablo D. & Kleinberg, Robert & Weinberg, S. Matthew, 2019. "Prior independent mechanisms via prophet inequalities with limited information," Games and Economic Behavior, Elsevier, vol. 118(C), pages 511-532.
  74. Vahab Mirrokni & Renato Paes Leme & Pingzhong Tang & Song Zuo, 2020. "Non‐Clairvoyant Dynamic Mechanism Design," Econometrica, Econometric Society, vol. 88(5), pages 1939-1963, September.
  75. Bikhchandani, Sushil & Mishra, Debasis, 2022. "Selling two identical objects," Journal of Economic Theory, Elsevier, vol. 200(C).
  76. Briest, Patrick & Chawla, Shuchi & Kleinberg, Robert & Weinberg, S. Matthew, 2015. "Pricing lotteries," Journal of Economic Theory, Elsevier, vol. 156(C), pages 144-174.
  77. Szalay, Dezső & Ketelaar, Felix, 2014. "Pricing a Package of Services," CEPR Discussion Papers 10313, C.E.P.R. Discussion Papers.
  78. Mark Armstrong, 2016. "Nonlinear Pricing," Annual Review of Economics, Annual Reviews, vol. 8(1), pages 583-614, October.
  79. Debasis Mishra & Kolagani Paramahamsa, 2022. "Selling to a principal and a budget-constrained agent," Papers 2202.10378, arXiv.org, revised Oct 2024.
  80. Frank Yang & Kai Hao Yang, 2025. "Multidimensional Monotonicity and Economic Applications," Cowles Foundation Discussion Papers 2428, Cowles Foundation for Research in Economics, Yale University.
  81. Sandro Brusco & Giuseppe Lopomo & Leslie M. Marx, 2011. "The Economics of Contingent Re-auctions," American Economic Journal: Microeconomics, American Economic Association, vol. 3(2), pages 165-193, May.
  82. Mariano Runco, 2012. "Retail Pricing and Clearance Sales: The Multidimensional Case," Economics Bulletin, AccessEcon, vol. 32(1), pages 376-381.
  83. Burkett, Justin & Woodward, Kyle, 2025. "Intertemporal allocation with unknown discounting," Journal of Economic Theory, Elsevier, vol. 227(C).
  84. Chang, Dongkyu, 2021. "Optimal sales mechanism with outside options," Journal of Economic Theory, Elsevier, vol. 195(C).
  85. Itai Ashlagi & Constantinos Daskalakis & Nima Haghpanah, 2023. "Sequential Mechanisms with Ex Post Individual Rationality," Operations Research, INFORMS, vol. 71(1), pages 245-258, January.
  86. Santiago R. Balseiro & Antoine Désir, 2023. "Incentive-Compatible Assortment Optimization for Sponsored Products," Management Science, INFORMS, vol. 69(8), pages 4668-4684, August.
  87. Hart, Sergiu & Nisan, Noam, 2019. "Selling multiple correlated goods: Revenue maximization and menu-size complexity," Journal of Economic Theory, Elsevier, vol. 183(C), pages 991-1029.
  88. Alexey Malakhov & Rakesh Vohra, 2009. "An optimal auction for capacity constrained bidders: a network perspective," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(1), pages 113-128, April.
  89. Hoang, Lê Nguyên & Soumis, François & Zaccour, Georges, 2019. "The return function: A new computable perspective on Bayesian–Nash equilibria," European Journal of Operational Research, Elsevier, vol. 279(2), pages 471-485.
  90. Frank Yang & Kai Hao Yang, 2025. "Multidimensional Monotonicity and Economic Applications," Papers 2502.18876, arXiv.org, revised Aug 2025.
  91. Bedard, Nicholas Charles & Goeree, Jacob K, 2025. "Tropical analysis: with an application to indivisible goods," Theoretical Economics, Econometric Society, vol. 20(3), July.
  92. Mishra, Debasis & Paramahamsa, Kolagani, 2024. "Selling to a manager and a budget-constrained agent," Journal of Mathematical Economics, Elsevier, vol. 115(C).
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