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A New Solution to the Random Assignment Problem

Citations

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Cited by:

  1. Chen, Yan & Jiang, Ming & Kesten, Onur & Robin, Stéphane & Zhu, Min, 2018. "Matching in the large: An experimental study," Games and Economic Behavior, Elsevier, vol. 110(C), pages 295-317.
  2. Monte, Daniel & Tumennasan, Norovsambuu, 2015. "Centralized allocation in multiple markets," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 74-85.
  3. Han, Xiang, 2016. "On the consistency of random serial dictatorship," Economics Letters, Elsevier, vol. 145(C), pages 168-171.
  4. Atila Abdulkadiro?lu & Yeon-Koo Che & Yosuke Yasuda, 2015. "Expanding "Choice" in School Choice," American Economic Journal: Microeconomics, American Economic Association, vol. 7(1), pages 1-42, February.
  5. Ran I. Shorrer & Sandor Sovago, 2017. "Obvious Mistakes in a Strategically Simple College Admissions Environment," Tinbergen Institute Discussion Papers 17-107/V, Tinbergen Institute.
  6. Eduardo M Azevedo & Eric Budish, 2019. "Strategy-proofness in the Large," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(1), pages 81-116.
  7. Ramezanian, Rasoul & Feizi, Mehdi, 2021. "Stepwise ordinal efficiency for the random assignment problem," Journal of Mathematical Economics, Elsevier, vol. 92(C), pages 60-65.
  8. Heo, Eun Jeong, 2025. "Agent-wise–replication invariance for random allocations," Economics Letters, Elsevier, vol. 247(C).
  9. Marek Pycia & M. Utku Ünver, 2021. "Arrovian Efficiency and Auditability in Discrete Mechanism Design," Boston College Working Papers in Economics 1044, Boston College Department of Economics.
  10. Jose Alcalde, 2013. "Random Housing with Existing Tenants," QM&ET Working Papers 13-5, University of Alicante, D. Quantitative Methods and Economic Theory.
  11. Marek Pycia & M. Utku Ünver, 2025. "Ordinal Simplicity in Discrete Mechanism Design," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 66(4), pages 1665-1680, October.
  12. Hougaard, Jens Leth & Moreno-Ternero, Juan D. & Østerdal, Lars Peter, 2014. "Assigning agents to a line," Games and Economic Behavior, Elsevier, vol. 87(C), pages 539-553.
  13. Onur Kesten & Morimitsu Kurino & Alexander S. Nesterov, 2017. "Efficient lottery design," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 31-57, January.
  14. Harless, Patrick & Phan, William, 2022. "Efficient mixtures of priority rules for assigning objects," Games and Economic Behavior, Elsevier, vol. 132(C), pages 73-89.
  15. Ariel Rosenfeld & Avinatan Hassidim, 2020. "Too smart for their own good: Trading truthfulness for efficiency in the Israeli medical internship market," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 15(5), pages 727-740, September.
  16. Kojima, Fuhito, 2013. "Efficient resource allocation under multi-unit demand," Games and Economic Behavior, Elsevier, vol. 82(C), pages 1-14.
  17. Sarvesh Bandhu & Abhinaba Lahiri & Anup Pramanik, 2024. "Stochastic same-sidedness in the random voting model," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 62(1), pages 167-196, February.
  18. Jérémy Picot, 2012. "Random aggregation without the Pareto principle," Review of Economic Design, Springer;Society for Economic Design, vol. 16(1), pages 1-13, March.
  19. Anno, Hidekazu & Kurino, Morimitsu, 2016. "On the operation of multiple matching markets," Games and Economic Behavior, Elsevier, vol. 100(C), pages 166-185.
  20. Fuhito Kojima & M. Ünver, 2014. "The “Boston” school-choice mechanism: an axiomatic approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(3), pages 515-544, April.
  21. Aziz, Haris & Luo, Pang & Rizkallah, Christine, 2017. "Incompatibility of efficiency and strategyproofness in the random assignment setting with indifferences," Economics Letters, Elsevier, vol. 160(C), pages 46-49.
  22. Th`anh Nguyen & Alexander Teytelboym & Shai Vardi, 2025. "Efficiency, Envy, and Incentives in Combinatorial Assignment," Papers 2509.13198, arXiv.org, revised Oct 2025.
  23. Eric Budish & Estelle Cantillon, 2012. "The Multi-unit Assignment Problem: Theory and Evidence from Course Allocation at Harvard," American Economic Review, American Economic Association, vol. 102(5), pages 2237-2271, August.
  24. Chambers, Christopher P. & Echenique, Federico, 2025. "Empirical welfare economics," Theoretical Economics, Econometric Society, vol. 20(3), July.
  25. Hugh-Jones, David & Kurino, Morimitsu & Vanberg, Christoph, 2014. "An experimental study on the incentives of the probabilistic serial mechanism," Games and Economic Behavior, Elsevier, vol. 87(C), pages 367-380.
  26. Hervé Crès & Hervé Moulin, 2001. "Scheduling with Opting Out: Improving upon Random Priority," Operations Research, INFORMS, vol. 49(4), pages 565-577, August.
  27. Laslier, Jean-François & Núñez, Matías & Remzi Sanver, M., 2021. "A solution to the two-person implementation problem," Journal of Economic Theory, Elsevier, vol. 194(C).
  28. Patrick Harless & William Phan, 2020. "On endowments and indivisibility: partial ownership in the Shapley–Scarf model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(2), pages 411-435, September.
  29. Xiaohui Bei & Guangda Huzhang & Warut Suksompong, 2020. "Truthful fair division without free disposal," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(3), pages 523-545, October.
  30. Liu, Peng, 2020. "Random assignments on sequentially dichotomous domains," Games and Economic Behavior, Elsevier, vol. 121(C), pages 565-584.
  31. Felix Brandt & Patrick Lederer & René Romen, 2024. "Relaxed notions of Condorcet-consistency and efficiency for strategyproof social decision schemes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 63(1), pages 19-55, August.
  32. Onur Kesten & Ayşe Yazıcı, 2012. "The Pareto-dominant strategy-proof and fair rule for problems with indivisible goods," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(2), pages 463-488, June.
  33. Federico Echenique & Antonio Miralles & Jun Zhang, 2019. "Fairness and efficiency for probabilistic allocations with participation constraints," Papers 1908.04336, arXiv.org, revised May 2020.
  34. Freeman, Rupert & Pritchard, Geoffrey & Wilson, Mark, 2021. "Order Symmetry: A New Fairness Criterion for Assignment Mechanisms," SocArXiv xt37c, Center for Open Science.
  35. Scott Duke Kominers & Alexander Teytelboym & Vincent P Crawford, 2017. "An invitation to market design," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 33(4), pages 541-571.
  36. Erya Yang, 2021. "Reduced-form mechanism design and ex post fairness constraints," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(2), pages 269-293, October.
  37. Liu, Peng, 2020. "Local vs. global strategy-proofness: A new equivalence result for ordinal mechanisms," Economics Letters, Elsevier, vol. 189(C).
  38. Ortega, Josué & Klein, Thilo, 2023. "The cost of strategy-proofness in school choice," Games and Economic Behavior, Elsevier, vol. 141(C), pages 515-528.
  39. Aziz, Haris & Brandt, Felix & Brill, Markus, 2013. "The computational complexity of random serial dictatorship," Economics Letters, Elsevier, vol. 121(3), pages 341-345.
  40. Julien Grenet & YingHua He & Dorothea Kübler, 2022. "Preference Discovery in University Admissions: The Case for Dynamic Multioffer Mechanisms," Journal of Political Economy, University of Chicago Press, vol. 130(6), pages 1427-1476.
  41. Yoichi Kasajima, 2013. "Probabilistic assignment of indivisible goods with single-peaked preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(1), pages 203-215, June.
  42. Maor Ben Zaquen & Ron Holzman, 2026. "The Domain of RSD Characterization by Efficiency, Symmetry, and Strategy-Proofness," Papers 2602.01224, arXiv.org.
  43. Dur, Umut & Hammond, Robert G. & Kesten, Onur, 2021. "Sequential school choice: Theory and evidence from the field and lab," Journal of Economic Theory, Elsevier, vol. 198(C).
  44. Aziz, Haris & Brandl, Florian, 2022. "The vigilant eating rule: A general approach for probabilistic economic design with constraints," Games and Economic Behavior, Elsevier, vol. 135(C), pages 168-187.
  45. Georgios Gerasimou, 2019. "Simple Preference Intensity Comparisons," Discussion Paper Series, School of Economics and Finance 201905, School of Economics and Finance, University of St Andrews, revised 27 Apr 2020.
  46. Christian Basteck, 2025. "An Axiomatization of the Random Priority Rule," Rationality and Competition Discussion Paper Series 502, CRC TRR 190 Rationality and Competition.
  47. Eirinakis, Pavlos & Mourtos, Ioannis & Zampou, Eleni, 2022. "Random Serial Dictatorship for horizontal collaboration in logistics," Omega, Elsevier, vol. 111(C).
  48. Korpela, Ville & Lombardi, Michele & Saulle, Riccardo D., 2024. "Designing rotation programs: Limits and possibilities," Games and Economic Behavior, Elsevier, vol. 143(C), pages 77-102.
  49. Daniel Kornbluth & Alexey Kushnir, 2024. "Undergraduate Course Allocation through Competitive Markets," Papers 2412.05691, arXiv.org, revised Dec 2025.
  50. Schlegel, Jan Christoph & Mamageishvili, Akaki, 2020. "Welfare theorems for random assignments with priorities," Games and Economic Behavior, Elsevier, vol. 124(C), pages 62-81.
  51. Lars Ehlers & Bettina Klaus, 2003. "Probabilistic assignments of identical indivisible objects and uniform probabilistic rules," Review of Economic Design, Springer;Society for Economic Design, vol. 8(3), pages 249-268, October.
  52. Che, Yeon-Koo & Kim, Jinwoo & Kojima, Fuhito, 2015. "Efficient assignment with interdependent values," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 54-86.
  53. Behrang Kamali Shahdadi & Kourosh Khounsari, 2026. "A limit to envy in large matching markets with incomplete information," Review of Economic Design, Springer;Society for Economic Design, vol. 30(1), pages 45-82, February.
  54. Bogomolnaia, Anna & Heo, Eun Jeong, 2012. "Probabilistic assignment of objects: Characterizing the serial rule," Journal of Economic Theory, Elsevier, vol. 147(5), pages 2072-2082.
  55. Kojima Fuhito, 2007. "When Can Manipulations be Avoided in Two-Sided Matching Markets? -- Maximal Domain Results," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 7(1), pages 1-18, September.
  56. Ioannis Caragiannis & Panagiotis Kanellopoulos & Maria Kyropoulou, 2025. "On Interim Envy-Free Allocation Lotteries," Mathematics of Operations Research, INFORMS, vol. 50(4), pages 3257-3282, November.
  57. Marco Chiarandini & Rolf Fagerberg & Stefano Gualandi, 2019. "Handling preferences in student-project allocation," Annals of Operations Research, Springer, vol. 275(1), pages 39-78, April.
  58. Stephen Morris & Satoru Takahashi, 2012. "Games in Preference Form and Preference Rationalizability," Working Papers 1420, Princeton University, Department of Economics, Econometric Research Program..
  59. Afacan, Mustafa Oǧuz, 2018. "The object allocation problem with random priorities," Games and Economic Behavior, Elsevier, vol. 110(C), pages 71-89.
  60. Jens Gudmundsson, 2019. "Compromises and Rewards: stable and non-manipulable probabilistic matching," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(2), pages 365-392, June.
  61. Aytek Erdil, 2013. "Strategy-Proof Stochastic Assignment," Cambridge Working Papers in Economics 1333, Faculty of Economics, University of Cambridge.
  62. Paul Gölz & Dominik Peters & Ariel D. Procaccia, 2026. "In This Apportionment Lottery, the House Always Wins," Operations Research, INFORMS, vol. 74(1), pages 390-407, January.
  63. Chen, Yan & He, YingHua, 2021. "Information acquisition and provision in school choice: An experimental study," Journal of Economic Theory, Elsevier, vol. 197(C).
  64. Juan Pereyra & Tom Demeulemeester, 2024. "Rawlsian Assignments," Documentos de Trabajo/Working Papers 2403, Facultad de Ciencias Empresariales y Economia. Universidad de Montevideo..
  65. Azrieli, Yaron & Jain, Ritesh, 2018. "Symmetric mechanism design," Journal of Mathematical Economics, Elsevier, vol. 74(C), pages 108-118.
  66. YIlmaz, Özgür, 2009. "Random assignment under weak preferences," Games and Economic Behavior, Elsevier, vol. 66(1), pages 546-558, May.
  67. Haris Aziz, 2017. "Characterizing SW-Efficiency in the Social Choice Domain," Economics Bulletin, AccessEcon, vol. 37(1), pages 48-51.
  68. Nikhil Agarwal & Eric Budish, 2021. "Market Design," NBER Working Papers 29367, National Bureau of Economic Research, Inc.
  69. Hideo Konishi & Nicolas Sahuguet & Benoît S. Y. Crutzen, 2024. "Allocation rules of indivisible prizes in team contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 78(1), pages 69-100, August.
  70. Aziz, Haris & Brandl, Florian & Brandt, Felix, 2015. "Universal Pareto dominance and welfare for plausible utility functions," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 123-133.
  71. Sreedurga Gogulapati & Yadati Narahari & Souvik Roy & Soumyarup Sadhukhan, 2025. "On Probabilistic Assignment Rules," Papers 2507.09550, arXiv.org.
  72. Balbuzanov, Ivan, 2020. "Short trading cycles: Paired kidney exchange with strict ordinal preferences," Mathematical Social Sciences, Elsevier, vol. 104(C), pages 78-87.
  73. Liu, Peng & Zeng, Huaxia, 2019. "Random assignments on preference domains with a tier structure," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 176-194.
  74. Cho, Wonki Jo & Park, Chang Woo, 2018. "Fractional group identification," Journal of Mathematical Economics, Elsevier, vol. 77(C), pages 66-75.
  75. Florian Brandl & Felix Brandt & Christian Stricker, 2022. "An analytical and experimental comparison of maximal lottery schemes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(1), pages 5-38, January.
  76. Julien Grenet & Yinghua He & Dorothea Kübler, 2022. "Preference Discovery in University Admissions: The Case for Dynamic Multioffer Mechanisms," PSE-Ecole d'économie de Paris (Postprint) hal-04157650, HAL.
  77. Heo, Eun Jeong & Yılmaz, Özgür, 2015. "A characterization of the extended serial correspondence," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 102-110.
  78. Brandt, Felix & Saile, Christian & Stricker, Christian, 2022. "Strategyproof social choice when preferences and outcomes may contain ties," Journal of Economic Theory, Elsevier, vol. 202(C).
  79. Chao Huang, 2021. "Stable matching: an integer programming approach," Papers 2103.03418, arXiv.org, revised Apr 2022.
  80. Felix Brandt & Patrick Lederer & Ren'e Romen, 2022. "Relaxed Notions of Condorcet-Consistency and Efficiency for Strategyproof Social Decision Schemes," Papers 2201.10418, arXiv.org.
  81. Erdil, Aytek, 2014. "Strategy-proof stochastic assignment," Journal of Economic Theory, Elsevier, vol. 151(C), pages 146-162.
  82. Ehlers, Lars & Majumdar, Dipjyoti & Mishra, Debasis & Sen, Arunava, 2020. "Continuity and incentive compatibility in cardinal mechanisms," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 31-41.
  83. Youngsub Chun & Boram Park, 2017. "A graph theoretic approach to the slot allocation problem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 133-152, January.
  84. Kushnir, Alexey, 2009. "Matching Markets with Signals," Sustainable Development Papers 50730, Fondazione Eni Enrico Mattei (FEEM).
  85. Ping Zhan, 2023. "Simultaneous eating algorithm and greedy algorithm in assignment problems," Journal of Combinatorial Optimization, Springer, vol. 45(5), pages 1-24, July.
  86. Feizi, Mehdi & Ramezanian, Rasoul, 2023. "A new impossibility result for random assignments," Journal of Mathematical Economics, Elsevier, vol. 107(C).
  87. Clayton Featherstone & Muriel Niederle, 2008. "Ex Ante Efficiency in School Choice Mechanisms: An Experimental Investigation," NBER Working Papers 14618, National Bureau of Economic Research, Inc.
  88. Pycia, Marek & Ünver, M. Utku, 2015. "Decomposing random mechanisms," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 21-33.
  89. Pu, Yun, 2020. "College admission in three Chinese provinces: Province-specific versus pooling quotas," China Economic Review, Elsevier, vol. 60(C).
  90. Aziz, Haris & Hougaard, Jens Leth & Moreno-Ternero, Juan D. & Østerdal, Lars Peter, 2017. "Computational aspects of assigning agents to a line," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 93-99.
  91. Fujinaka, Yuji & Miyakawa, Toshiji, 2020. "Ex-post incentive compatible and individually rational assignments in housing markets with interdependent values," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 157-164.
  92. Yajing Chen & Patrick Harless & Zhenhua Jiao, 2024. "The fractional Boston random assignment rule and its axiomatic characterization," Review of Economic Design, Springer;Society for Economic Design, vol. 28(1), pages 21-43, February.
  93. Saban, Daniela & Sethuraman, Jay, 2014. "A note on object allocation under lexicographic preferences," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 283-289.
  94. Yoon, Kiho, 2011. "Optimal mechanism design when both allocative inefficiency and expenditure inefficiency matter," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 670-676.
  95. Young-San Lin & Hai Nguyen & Thành Nguyen & Kemal Altinkemer, 2022. "Allocation with Weak Priorities and General Constraints," Operations Research, INFORMS, vol. 70(5), pages 2804-2819, September.
  96. Basteck, Christian, 2025. "An axiomatization of the random priority rule," Discussion Papers, Research Unit: Market Behavior SP II 2024-201r, WZB Berlin Social Science Center, revised 2025.
  97. Aziz, Haris & Brandl, Florian & Brandt, Felix & Brill, Markus, 2018. "On the tradeoff between efficiency and strategyproofness," Games and Economic Behavior, Elsevier, vol. 110(C), pages 1-18.
  98. Hernandez-Chanto Allan, 2020. "College Assignment Problems Under Constrained Choice, Private Preferences, and Risk Aversion," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 20(2), pages 1-20, June.
  99. Mihai Manea, 2008. "Random serial dictatorship and ordinally efficient contracts," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 489-496, March.
  100. Ramezanian, Rasoul & Feizi, Mehdi, 2022. "Robust ex-post Pareto efficiency and fairness in random assignments: Two impossibility results," Games and Economic Behavior, Elsevier, vol. 135(C), pages 356-367.
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  102. Tom Demeulemeester & Juan S. Pereyra, 2022. "Rawlsian Assignments," Papers 2207.02930, arXiv.org, revised Oct 2024.
  103. Haris Aziz & Bettina Klaus, 2017. "Random Matching under Priorities: Stability and No Envy Concepts," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 17.09, Université de Lausanne, Faculté des HEC, DEEP.
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  106. William Thomson, 2025. "Agent-wise–replication invariance, the Walrasian solution and the uniform rule," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 79(2), pages 357-377, March.
  107. Miralles, Antonio, 2012. "Cardinal Bayesian allocation mechanisms without transfers," Journal of Economic Theory, Elsevier, vol. 147(1), pages 179-206.
  108. YIlmaz, Özgür, 2010. "The probabilistic serial mechanism with private endowments," Games and Economic Behavior, Elsevier, vol. 69(2), pages 475-491, July.
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  110. Le, Phuong, 2013. "Competitive Equilibrium in the Random Assignment Problem," MPRA Paper 66290, University Library of Munich, Germany.
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  125. Julien Grenet & Yinghua He & Dorothea Kübler, 2022. "Preference Discovery in University Admissions: The Case for Dynamic Multioffer Mechanisms," Post-Print hal-04157650, HAL.
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  137. Balbuzanov, Ivan, 2022. "Constrained random matching," Journal of Economic Theory, Elsevier, vol. 203(C).
  138. Martini, Giorgio, 2016. "Strategy-proof and fair assignment is wasteful," Games and Economic Behavior, Elsevier, vol. 98(C), pages 172-179.
  139. Christopher P. Chambers & Michael Richter, 2023. "Ordinal allocation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 5-14, January.
  140. Zhang, Jun, 2023. "Strategy-proof allocation with outside option," Games and Economic Behavior, Elsevier, vol. 137(C), pages 50-67.
  141. Phuong Le, 2017. "Competitive equilibrium in the random assignment problem," International Journal of Economic Theory, The International Society for Economic Theory, vol. 13(4), pages 369-385, December.
  142. Ortega, Josué, 2020. "Multi-unit assignment under dichotomous preferences," Mathematical Social Sciences, Elsevier, vol. 103(C), pages 15-24.
  143. José Alcalde & Antonio Romero-Medina, 2017. "Fair student placement," Theory and Decision, Springer, vol. 83(2), pages 293-307, August.
  144. Roth, Alvin E. & Sonmez, Tayfun & Utku Unver, M., 2005. "Pairwise kidney exchange," Journal of Economic Theory, Elsevier, vol. 125(2), pages 151-188, December.
  145. Aziz, Haris & Mestre, Julián, 2014. "Parametrized algorithms for random serial dictatorship," Mathematical Social Sciences, Elsevier, vol. 72(C), pages 1-6.
  146. Yuri Faenza & Aapeli Vuorinen, 2025. "Longer Lists Yield Better Matchings," Papers 2506.06217, arXiv.org.
  147. Chen, Yiling & Lai, John K. & Parkes, David C. & Procaccia, Ariel D., 2013. "Truth, justice, and cake cutting," Games and Economic Behavior, Elsevier, vol. 77(1), pages 284-297.
  148. Zhang, Jun, 2020. "When are efficient and fair assignment mechanisms group strategy-proof?," Games and Economic Behavior, Elsevier, vol. 119(C), pages 251-266.
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