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Consistency and its Converse: an Introduction

Citations

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Cited by:

  1. Han, Xiang, 2016. "On the consistency of random serial dictatorship," Economics Letters, Elsevier, vol. 145(C), pages 168-171.
  2. Camelia Bejan & Juan Camilo Gómez & Anne van den Nouweland, 2022. "On the importance of reduced games in axiomatizing core extensions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(3), pages 637-668, October.
  3. António Osório, 2017. "A Sequential Allocation Problem: The Asymptotic Distribution of Resources," Group Decision and Negotiation, Springer, vol. 26(2), pages 357-377, March.
  4. Rick K. Acosta-Vega & Encarnaci'on Algaba & Joaqu'in S'anchez-Soriano, 2022. "On proportionality in multi-issue problems with crossed claims," Papers 2202.09877, arXiv.org.
  5. Erlanson, Albin & Szwagrzak, Karol, 2013. "Strategy-Proof Package Assignment," Working Papers 2013:43, Lund University, Department of Economics.
  6. Zhengxing Zou & Rene van den Brink & Yukihiko Funaki, 2020. "Compromising between the proportional and equal division values: axiomatization, consistency and implementation," Tinbergen Institute Discussion Papers 20-054/II, Tinbergen Institute.
  7. Hougaard, Jens Leth & Moulin, Hervé, 2014. "Sharing the cost of redundant items," Games and Economic Behavior, Elsevier, vol. 87(C), pages 339-352.
  8. Stéphane Gonzalez & Aymeric Lardon, 2018. "Axiomatic foundations of a unifying concept of the core of games in effectiveness form," Post-Print halshs-01902122, HAL.
  9. van den Brink, René & Funaki, Yukihiko & van der Laan, Gerard, 2013. "Characterization of the Reverse Talmud bankruptcy rule by Exemption and Exclusion properties," European Journal of Operational Research, Elsevier, vol. 228(2), pages 413-417.
  10. Alberto Vesperoni, 2016. "A contest success function for rankings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(4), pages 905-937, December.
  11. Bas Dietzenbacher & Elena Yanovskaya, 2021. "Consistency of the equal split-off set," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 1-22, March.
  12. Acosta-Vega, Rick K. & Algaba, Encarnación & Sánchez-Soriano, Joaquín, 2023. "Design of water quality policies based on proportionality in multi-issue problems with crossed claims," European Journal of Operational Research, Elsevier, vol. 311(2), pages 777-788.
  13. Dietzenbacher, Bas & Yanovskaya, Elena, 2023. "The equal split-off set for NTU-games," Mathematical Social Sciences, Elsevier, vol. 121(C), pages 61-67.
  14. Ricardo Martínez, 2007. "Strong Composition Down. Characterizations Of New And Classical Bankruptcy Rules," Working Papers. Serie AD 2007-20, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  15. Cho, Wonki Jo & Ju, Biung-Ghi, 2020. "Group identification: An integrated approach," Games and Economic Behavior, Elsevier, vol. 123(C), pages 171-181.
  16. Osório, António (António Miguel), 2016. "A Sequential Allocation Problem: The Asymptotic Distribution of Resources," Working Papers 2072/266574, Universitat Rovira i Virgili, Department of Economics.
  17. Moulin, Herve, 2017. "Consistent bilateral assignment," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 43-55.
  18. Ergin, Haluk I., 2000. "Consistency in house allocation problems," Journal of Mathematical Economics, Elsevier, vol. 34(1), pages 77-97, August.
  19. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2012. "The sequential equal surplus division for sharing a river," MPRA Paper 37346, University Library of Munich, Germany.
  20. Kasajima, Yoichi & Toda, Manabu, 2024. "Singles monotonicity and stability in one-to-one matching problems," Games and Economic Behavior, Elsevier, vol. 143(C), pages 269-286.
  21. Sylvain Béal & Sylvain Ferrières & Philippe Solal, 2023. "A Core-Partition Ranking Solution to Coalitional Ranking Problems," Group Decision and Negotiation, Springer, vol. 32(4), pages 965-985, August.
  22. 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.
  23. Long, Yan & Sethuraman, Jay & Xue, Jingyi, 2021. "Equal-quantile rules in resource allocation with uncertain needs," Journal of Economic Theory, Elsevier, vol. 197(C).
  24. Flores-Szwagrzak, Karol & Østerdal, Lars Peter, 2024. "Rationalizing Sharing Rules," Working Papers 17-2024, Copenhagen Business School, Department of Economics.
  25. Kristof Bosmans & Z. Emel Öztürk, 2022. "Equality and responsibility: ex ante and ex post redistribution mechanisms," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(4), pages 947-975, June.
  26. Osório, António (António Miguel), 2017. "Self-interest and Equity Concerns: A Behavioural Allocation Rule for Operational Problems," Working Papers 2072/290757, Universitat Rovira i Virgili, Department of Economics.
  27. Bas Dietzenbacher & Peter Borm & Arantza Estévez-Fernández, 2020. "NTU-bankruptcy problems: consistency and the relative adjustment principle," Review of Economic Design, Springer;Society for Economic Design, vol. 24(1), pages 101-122, June.
  28. Mert Kimya, 2024. "Axiomatic Approach to Farsighted Coalition Formation," Working Papers 2024-03, University of Sydney, School of Economics.
  29. Gonzalez, Stéphane & Lardon, Aymeric, 2021. "Axiomatic foundations of the core for games in effectiveness form," Mathematical Social Sciences, Elsevier, vol. 114(C), pages 28-38.
  30. Flores-Szwagrzak, Karol, 2015. "Priority classes and weighted constrained equal awards rules for the claims problem," Journal of Economic Theory, Elsevier, vol. 160(C), pages 36-55.
  31. Sylvain Béal & Sylvain Ferrières & Philippe Solal, 2021. "A Core-partition solution for coalitional rankings with a variable population domain," Working Papers 2021-06, CRESE.
  32. Karol Flores-Szwagrzak & Jaume García-Segarra & Miguel Ginés-Vilar, 2020. "Priority and proportionality in bankruptcy," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(4), pages 559-579, April.
  33. Thomson, William, 2024. "Cost allocation and airport problems," Mathematical Social Sciences, Elsevier, vol. 131(C), pages 17-31.
  34. Pedro Calleja & Francesc Llerena, 2017. "Rationality, aggregate monotonicity and consistency in cooperative games: some (im)possibility results," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 197-220, January.
  35. Francesc Llerena & Llúcia Mauri, 2016. "Reduced games and egalitarian solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(4), pages 1053-1069, November.
  36. Kondratev, Aleksei Y. & Nesterov, Alexander S., 2022. "Minimal envy and popular matchings," European Journal of Operational Research, Elsevier, vol. 296(3), pages 776-787.
  37. Youngsub Chun, 2006. "The Separability Principle in Economies with Single-Peaked Preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 239-253, April.
  38. Sylvain Béal & Léa Munich & Philippe Solal & Kevin Techer, 2025. "Cooperative games with unpaid players," Working Papers hal-05486247, HAL.
  39. Subiza, Begoña & Giménez-Gómez, José-Manuel & Peris, Josep E., 2025. "Cooperative TU-games: Dominance, stable sets, and the core revisited," Journal of Mathematical Economics, Elsevier, vol. 119(C).
  40. Klaus, Bettina & Klijn, Flip, 2013. "Local and global consistency properties for student placement," Journal of Mathematical Economics, Elsevier, vol. 49(3), pages 222-229.
  41. Karpov, Alexander, 2019. "A necessary and sufficient condition for uniqueness consistency in the stable marriage matching problem," Economics Letters, Elsevier, vol. 178(C), pages 63-65.
  42. Dutta, Bhaskar & Kar, Anirban, 2004. "Cost monotonicity, consistency and minimum cost spanning tree games," Games and Economic Behavior, Elsevier, vol. 48(2), pages 223-248, August.
  43. Erlanson, Albin & Flores-Szwagrzak, Karol, 2015. "Strategy-proof assignment of multiple resources," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 137-162.
  44. Sanchez-Soriano, Joaquin, 2021. "Families of sequential priority rules and random arrival rules with withdrawal limits," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 136-148.
  45. Pérez-Castrillo, David & Sun, Chaoran, 2021. "Value-free reductions," Games and Economic Behavior, Elsevier, vol. 130(C), pages 543-568.
  46. Rick K. Acosta-Vega & Encarnaci'on Algaba & Joaqu'in S'anchez-Soriano, 2022. "On priority in multi-issue bankruptcy problems with crossed claims," Papers 2205.00450, arXiv.org, revised Sep 2022.
  47. Koji Takamiya, 2006. "Consistency and Unanimity in the House Allocation Problems I: Collective Initial Endowments," ISER Discussion Paper 0657, Institute of Social and Economic Research, The University of Osaka.
  48. Bas J. Dietzenbacher & Aleksei Y. Kondratev, 2023. "Fair and Consistent Prize Allocation in Competitions," Management Science, INFORMS, vol. 69(6), pages 3319-3339, June.
  49. Carmen Herrero & Antonio Villar, 2021. "Opportunity advantage between income distributions," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 19(4), pages 785-799, December.
  50. Sylvain Béal & David Lowing & Léa Munich, 2024. "Sharing the cost of cleaning up non-point source pollution," Working Papers hal-04634728, HAL.
  51. Heo, Eun Jeong, 2014. "Probabilistic assignment problem with multi-unit demands: A generalization of the serial rule and its characterization," Journal of Mathematical Economics, Elsevier, vol. 54(C), pages 40-47.
  52. Hurt, Wesley & Osório, António (António Miguel), 2014. "A Sequential Allocation Problem: The Asymptotic Distribution of Resources," Working Papers 2072/237596, Universitat Rovira i Virgili, Department of Economics.
  53. Carmen Herrero & Ricardo Martínez, 2008. "Up methods in the allocation of indivisibilities when preferences are single-peaked," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 272-283, December.
  54. Zou, Zhengxing & van den Brink, René & Funaki, Yukihiko, 2021. "Compromising between the proportional and equal division values," Journal of Mathematical Economics, Elsevier, vol. 97(C).
  55. Flores-Szwagrzak, Karol & Treibich, Rafael, 2015. "Co-authorship and the Measurement of Individual Productivity," Discussion Papers on Economics 17/2015, University of Southern Denmark, Department of Economics.
  56. Osório, António, 2017. "Self-interest and equity concerns: A behavioural allocation rule for operational problems," European Journal of Operational Research, Elsevier, vol. 261(1), pages 205-213.
  57. Karol Flores-Szwagrzak & Rafael Treibich, 2020. "Teamwork and Individual Productivity," Management Science, INFORMS, vol. 66(6), pages 2523-2544, June.
  58. Gudmundsson, Jens & Hougaard, Jens Leth & Platz, Trine Tornøe, 2023. "Decentralized task coordination," European Journal of Operational Research, Elsevier, vol. 304(2), pages 851-864.
  59. Gong, Doudou & Dietzenbacher, Bas, 2025. "Core bound reduced games and consistency," Research Memorandum 002, Maastricht University, Graduate School of Business and Economics (GSBE).
  60. Edelman, Paul H. & Por, Attila, 2021. "A new axiomatic approach to the impartial nomination problem," Games and Economic Behavior, Elsevier, vol. 130(C), pages 443-451.
  61. Sylvain Béal & Amandine Ghintran & Eric Rémila & Philippe Solal, 2012. "The Sequential Equal Surplus Division for Sharing International Rivers with Bifurcations," Working Papers 2012-02, CRESE.
  62. Nir Dagan, 2008. "An axiomatization of the leveling tax-transfer policy," Economic theory and game theory 020, Nir Dagan.
  63. Alcalde-Unzu, Jorge & Gallo, Oihane & Inarra, Elena & Moreno-Ternero, Juan D., 2024. "Solidarity to achieve stability," European Journal of Operational Research, Elsevier, vol. 315(1), pages 368-377.
  64. Diamantoudi, Effrosyni & Miyagawa, Eiichi & Xue, Licun, 2015. "Decentralized matching: The role of commitment," Games and Economic Behavior, Elsevier, vol. 92(C), pages 1-17.
  65. Siwei Chen, 2015. "Systematic favorability in claims problems with indivisibilities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(2), pages 283-300, February.
  66. Yajing Chen, 2017. "New axioms for deferred acceptance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 393-408, February.
  67. Carmen Herrero & Ricardo Martínez, 2011. "Allocation problems with indivisibilities when preferences are single-peaked," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 2(4), pages 453-467, December.
  68. Rogna, Marco, 2021. "The central core and the mid-central core as novel set-valued and point-valued solution concepts for transferable utility coalitional games," Mathematical Social Sciences, Elsevier, vol. 109(C), pages 1-11.
  69. van den Brink, René & Chun, Youngsub & Funaki, Yukihiko & Zou, Zhengxing, 2023. "Balanced externalities and the proportional allocation of nonseparable contributions," European Journal of Operational Research, Elsevier, vol. 307(2), pages 975-983.
  70. Eiko Arata & Toru Hokari, 2025. "Axioms of depreciation methods," Keio-IES Discussion Paper Series 2025-002, Institute for Economics Studies, Keio University.
  71. Moulin, Hervé, 2016. "Entropy, desegregation, and proportional rationing," Journal of Economic Theory, Elsevier, vol. 162(C), pages 1-20.
  72. Stéphane Gonzalez & Aymeric Lardon, 2018. "Axiomatic Foundations of a Unifying Core," Working Papers halshs-01930836, HAL.
  73. Calleja, Pere & Llerena Garrés, Francesc, 2016. "Consistency distinguishes the (weighted) Shapley value, the (weighted) surplus division value and the prenucleolus," Working Papers 2072/266577, Universitat Rovira i Virgili, Department of Economics.
  74. de Clippel, Geoffroy, 2008. "An axiomatization of the inner core using appropriate reduced games," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 316-323, February.
  75. Rhee, Sangkyu, 2006. "Allocation problems among sharing groups," Games and Economic Behavior, Elsevier, vol. 54(2), pages 398-418, February.
  76. Yusuke Iwase, 2022. "Equivalence theorem in matching with contracts," Review of Economic Design, Springer;Society for Economic Design, vol. 26(1), pages 117-125, March.
  77. Yoichi Kasajima & Manabu Toda, 2021. "Singles monotonicity and stability in one-to-one matching problems," Working Papers 2023-1, Waseda University, Faculty of Political Science and Economics.
  78. Youngsub Chun, 2011. "Consistency and monotonicity in sequencing problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 29-41, February.
  79. Dequiedt, Vianney & Zenou, Yves, 2017. "Local and consistent centrality measures in parameterized networks," Mathematical Social Sciences, Elsevier, vol. 88(C), pages 28-36.
  80. Bas Dietzenbacher, 2023. "Generalizing the constrained equal awards rule," Theory and Decision, Springer, vol. 95(1), pages 131-150, July.
  81. Barbera, Salvador & Bevia, Carmen, 2002. "Self-Selection Consistent Functions," Journal of Economic Theory, Elsevier, vol. 105(2), pages 263-277, August.
  82. Gudmundsson, Jens & Hougaard, Jens Leth & Ko, Chiu Yu, 2019. "Decentralized mechanisms for river sharing," Journal of Environmental Economics and Management, Elsevier, vol. 94(C), pages 67-81.
  83. Can, Burak & Pourpouneh, Mohsen & Storcken, Ton, 2023. "Distance on matchings: an axiomatic approach," Theoretical Economics, Econometric Society, vol. 18(2), May.
  84. Flores-Szwagrzak, Karol & Treibich, Rafael, 2025. "How much can you claim?," Economics Letters, Elsevier, vol. 246(C).
  85. Nizamogullari, Duygu & Özkal-Sanver, İpek, 2014. "Characterization of the core in full domain marriage problems," Mathematical Social Sciences, Elsevier, vol. 69(C), pages 34-42.
  86. Dietzenbacher, Bas, 2018. "Egalitarian allocation principles," Other publications TiSEM 01be3135-efa6-4f51-b2ef-0, Tilburg University, School of Economics and Management.
  87. Rick K. Acosta & Encarnación Algaba & Joaquín Sánchez-Soriano, 2022. "Multi-issue bankruptcy problems with crossed claims," Annals of Operations Research, Springer, vol. 318(2), pages 749-772, November.
  88. Osorio, Antonio, 2014. "A Sequential Allocation Problem: The Asymptotic Distribution of Resources," MPRA Paper 56690, University Library of Munich, Germany.
  89. Pedro Calleja & Francesc Llerena, 2019. "Path monotonicity, consistency and axiomatizations of some weighted solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 287-310, March.
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