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Aggregating Sets of Judgments: An Impossibility Result

Citations

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Cited by:

  1. Conal Duddy & Ashley Piggins, 2012. "A measure of distance between judgment sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(4), pages 855-867, October.
  2. Marcel Heidemann, 2018. "Judgment aggregation and minimal change: a model of consensus formation by belief revision," Theory and Decision, Springer, vol. 85(1), pages 61-97, July.
  3. Eerik Lagerspetz, 2014. "Albert Heckscher on collective decision-making," Public Choice, Springer, vol. 159(3), pages 327-339, June.
  4. Mostafa A. Ali & Nazimah Hussin & Hossam Haddad & Nidal Mahmoud Al-Ramahi & Tareq Hammad Almubaydeen & Ibtihal A. Abed, 2022. "The Impact of Intellectual Capital on Dynamic Innovation Performance: An Overview of Research Methodology," JRFM, MDPI, vol. 15(10), pages 1-28, October.
  5. Marcus Pivato, 2013. "Voting rules as statistical estimators," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 581-630, February.
  6. de Clippel, Geoffroy & Moulin, Herve & Tideman, Nicolaus, 2008. "Impartial division of a dollar," Journal of Economic Theory, Elsevier, vol. 139(1), pages 176-191, March.
  7. Dietrich, Franz, 2015. "Aggregation theory and the relevance of some issues to others," Journal of Economic Theory, Elsevier, vol. 160(C), pages 463-493.
  8. Dokow, Elad & Holzman, Ron, 2010. "Aggregation of binary evaluations with abstentions," Journal of Economic Theory, Elsevier, vol. 145(2), pages 544-561, March.
  9. JBrandon Duck-Mayr, 2022. "Explaining legal inconsistency," Journal of Theoretical Politics, , vol. 34(1), pages 107-126, January.
  10. Bozbay, Irem, 2012. "Truth-Seeking Judgment Aggregation over Interconnected Issues," Working Papers 2012:31, Lund University, Department of Economics.
  11. Takuya Sekiguchi & Hisashi Ohtsuki, 2023. "Aggregation of Correlated Judgments on Multiple Interconnected Issues," Group Decision and Negotiation, Springer, vol. 32(1), pages 233-256, February.
  12. Ozkes, Ali I. & Sanver, M. Remzi, 2023. "Uniform random dictatorship: A characterization without strategy-proofness," Economics Letters, Elsevier, vol. 227(C).
  13. Nehring, Klaus, 2007. "The impossibility of a Paretian rational: A Bayesian perspective," Economics Letters, Elsevier, vol. 96(1), pages 45-50, July.
  14. Zoi Terzopoulou & Ulle Endriss, 2019. "Strategyproof judgment aggregation under partial information," Post-Print hal-04809526, HAL.
  15. Olivier Ouzilou, 2015. "Collective beliefs and horizontal interactions between groups: the case of political parties," The Journal of Philosophical Economics, Bucharest Academy of Economic Studies, The Journal of Philosophical Economics, vol. 8(2), May.
  16. Masaki Miyashita, 2021. "Premise-based vs conclusion-based collective choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(2), pages 361-385, August.
  17. Itzhak Gilboa, 2010. "Questions in Decision Theory," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 1-19, September.
  18. Kretz, Claudio & Puppe, Clemens, 2025. "Arrovian independence and the aggregation of choice functions," Working Paper Series in Economics 173, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
  19. Bozbay, İrem & Dietrich, Franz & Peters, Hans, 2014. "Judgment aggregation in search for the truth," Games and Economic Behavior, Elsevier, vol. 87(C), pages 571-590.
  20. List, Christian & Polak, Ben, 2010. "Introduction to judgment aggregation," Journal of Economic Theory, Elsevier, vol. 145(2), pages 441-466, March.
  21. Luigi Marengo & Simona Settepanella & Yan X. Zhang, 2021. "Towards a unified aggregation framework for preferences and judgments," Evolutionary and Institutional Economics Review, Springer, vol. 18(1), pages 21-44, April.
  22. Eyal Baharad & Jacob Goldberger & Moshe Koppel & Shmuel Nitzan, 2012. "Beyond Condorcet: optimal aggregation rules using voting records," Theory and Decision, Springer, vol. 72(1), pages 113-130, January.
  23. Jean-François Bonnefon, 2010. "Behavioral evidence for framing effects in the resolution of the doctrinal paradox," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(4), pages 631-641, April.
  24. Pivato, Marcus, 2008. "The Discursive Dilemma and Probabilistic Judgement Aggregation," MPRA Paper 8412, University Library of Munich, Germany.
  25. Dietrich, Franz & Mongin, Philippe, 2010. "The premiss-based approach to judgment aggregation," Journal of Economic Theory, Elsevier, vol. 145(2), pages 562-582, March.
  26. Nehring, Klaus & Puppe, Clemens, 2010. "Justifiable group choice," Journal of Economic Theory, Elsevier, vol. 145(2), pages 583-602, March.
  27. Perote-Peña, Juan & Piggins, Ashley, 2015. "A Model Of Deliberative And Aggregative Democracy," Economics and Philosophy, Cambridge University Press, vol. 31(1), pages 93-121, March.
  28. Franz Dietrich, 2014. "Scoring rules for judgment aggregation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(4), pages 873-911, April.
  29. repec:hal:pseose:halshs-01249513 is not listed on IDEAS
  30. Miller, Alan D., 2013. "Community standards," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2696-2705.
  31. Takuya Sekiguchi, 2019. "Preferences over procedures and outcomes in judgment aggregation: an experimental study," Theory and Decision, Springer, vol. 86(2), pages 239-258, March.
  32. Nehring, Klaus & Pivato, Marcus & Puppe, Clemens, 2014. "The Condorcet set: Majority voting over interconnected propositions," Journal of Economic Theory, Elsevier, vol. 151(C), pages 268-303.
  33. Dietrich, Franz, 2016. "Judgment aggregation and agenda manipulation," Games and Economic Behavior, Elsevier, vol. 95(C), pages 113-136.
  34. Pablo Amorós, 2020. "Aggregating experts’ opinions to select the winner of a competition," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(3), pages 833-849, September.
  35. Franz Dietrich & Christian List, 2007. "Judgment Aggregation By Quota Rules," Journal of Theoretical Politics, , vol. 19(4), pages 391-424, October.
  36. Franz Dietrich & Kai Spiekermann, 2021. "Social Epistemology," Post-Print halshs-02431971, HAL.
  37. Crès, Hervé & Gilboa, Itzhak & Vieille, Nicolas, 2024. "Bureaucracy in quest of feasibility," Journal of Mathematical Economics, Elsevier, vol. 114(C).
  38. Zoi Terzopoulou & Ulle Endriss, 2019. "Strategyproof judgment aggregation under partial information," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(3), pages 415-442, October.
  39. Aureli Alabert & Mercè Farré, 2022. "The doctrinal paradox: comparison of decision rules in a probabilistic framework," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(4), pages 863-895, May.
  40. Obregon, Carlos, 2023. "Social Choice and Institutionalism," MPRA Paper 122458, University Library of Munich, Germany.
  41. Crès, Hervé & Gilboa, Itzhak & Vieille, Nicolas, 2011. "Aggregation of multiple prior opinions," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2563-2582.
  42. Franz Dietrich & Christian List, 2024. "Dynamically rational judgment aggregation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 63(3), pages 531-580, November.
  43. Andrew Knops, 2011. "Representing collective reasons for group decisions: The judgment aggregation problem revisited," Journal of Theoretical Politics, , vol. 23(4), pages 448-462, October.
  44. Philippe Mongin, 2012. "The doctrinal paradox, the discursive dilemma, and logical aggregation theory," Theory and Decision, Springer, vol. 73(3), pages 315-355, September.
  45. Jordi Ganzer-Ripoll & Natalia Criado & Maite Lopez-Sanchez & Simon Parsons & Juan A. Rodriguez-Aguilar, 2019. "Combining Social Choice Theory and Argumentation: Enabling Collective Decision Making," Group Decision and Negotiation, Springer, vol. 28(1), pages 127-173, February.
  46. Conal Duddy & Ashley Piggins & William Zwicker, 2016. "Aggregation of binary evaluations: a Borda-like approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(2), pages 301-333, February.
  47. Christian J. Feldbacher-Escamilla & Gerhard Schurz, 2023. "Meta-Inductive Probability Aggregation," Theory and Decision, Springer, vol. 95(4), pages 663-689, November.
  48. Bradley, R. & Dietrich, F.K. & List, C., 2007. "Aggregating causal judgements," Research Memorandum 001, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  49. Frederik S. Herzberg, 2013. "The (im)possibility of collective risk measurement: Arrovian aggregation of variational preferences," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(1), pages 69-92, May.
  50. Baumeister, Dorothea & Erdélyi, Gábor & Erdélyi, Olivia J. & Rothe, Jörg, 2015. "Complexity of manipulation and bribery in judgment aggregation for uniform premise-based quota rules," Mathematical Social Sciences, Elsevier, vol. 76(C), pages 19-30.
  51. Osherson, Daniel & Vardi, Moshe Y., 2006. "Aggregating disparate estimates of chance," Games and Economic Behavior, Elsevier, vol. 56(1), pages 148-173, July.
  52. Crès, Hervé & Tvede, Mich, 2022. "Aggregation of opinions in networks of individuals and collectives," Journal of Economic Theory, Elsevier, vol. 199(C).
  53. List, Christian, 2003. "A possibility theorem on aggregation over multiple interconnected propositions," Mathematical Social Sciences, Elsevier, vol. 45(1), pages 1-13, February.
  54. Dietrich, Franz, 2006. "Judgment aggregation: (im)possibility theorems," Journal of Economic Theory, Elsevier, vol. 126(1), pages 286-298, January.
  55. Christian List, 2007. "Group deliberation and the transformation ofjudgments: an impossibility result," STICERD - Political Economy and Public Policy Paper Series 26, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  56. Klaus Nehring & Clemens Puppe, 2008. "Consistent judgement aggregation: the truth-functional case," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(1), pages 41-57, June.
  57. Franz Dietrich & Christian List, 2017. "Probabilistic opinion pooling generalized. Part two: the premise-based approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(4), pages 787-814, April.
  58. Klaus Nehring & Marcus Pivato, 2022. "The median rule in judgement aggregation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(4), pages 1051-1100, June.
  59. Dietrich, Franz, 2012. "Judgment aggregation and the discursive dilemma," MPRA Paper 36772, University Library of Munich, Germany.
  60. Dietrich, Franz & List, Christian, 2010. "Majority voting on restricted domains," Journal of Economic Theory, Elsevier, vol. 145(2), pages 512-543, March.
  61. repec:spo:wpecon:info:hdl:2441/dambferfb7dfprc9m2e02cub3 is not listed on IDEAS
  62. repec:spo:wpmain:info:hdl:2441/eu4vqp9ompqllr09iepso50rh is not listed on IDEAS
  63. Nehring, Klaus & Puppe, Clemens, 2007. "Efficient and strategy-proof voting rules: A characterization," Games and Economic Behavior, Elsevier, vol. 59(1), pages 132-153, April.
  64. Zoi Terzopoulou & Ulle Endriss, 2020. "Neutrality and relative acceptability in judgment aggregation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(1), pages 25-49, June.
  65. Iain McLean, 2015. "The strange history of social choice," Chapters, in: Jac C. Heckelman & Nicholas R. Miller (ed.), Handbook of Social Choice and Voting, chapter 2, pages 15-34, Edward Elgar Publishing.
  66. John Thrasher, 2019. "Democracy Unchained: Contractualism, Individualism, and Independence in Buchanan’s Democratic Theory," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 36(1), pages 25-40, October.
  67. Franz Dietrich & Christian List, 2010. "The impossibility of unbiased judgment aggregation," Theory and Decision, Springer, vol. 68(3), pages 281-299, March.
  68. Birendra K. Rai1 & Chiu Ki So & Aaron Nicholas, 2011. "Mathematical Economics: A Reader," Monash Economics Working Papers 02-11, Monash University, Department of Economics.
  69. Duddy, Conal & Piggins, Ashley, 2013. "Many-valued judgment aggregation: Characterizing the possibility/impossibility boundary," Journal of Economic Theory, Elsevier, vol. 148(2), pages 793-805.
  70. Dietrich, Franz & List, Christian, 2014. "From degrees of belief to beliefs: Lessons from judgment-aggregation theory," MPRA Paper 58257, University Library of Munich, Germany.
  71. Pivato, Marcus & Nehring, Klaus, 2010. "The McGarvey problem in judgement aggregation," MPRA Paper 22600, University Library of Munich, Germany.
  72. Cres, Herve & Gilboa, Itzhak & Vieille, Nicolas, 2012. "Bureaucracy in Quest for Feasibility," Foerder Institute for Economic Research Working Papers 275779, Tel-Aviv University > Foerder Institute for Economic Research.
  73. Mongin, Philippe, 2008. "Factoring out the impossibility of logical aggregation," Journal of Economic Theory, Elsevier, vol. 141(1), pages 100-113, July.
  74. Nehring, Klaus & Pivato, Marcus, 2019. "Majority rule in the absence of a majority," Journal of Economic Theory, Elsevier, vol. 183(C), pages 213-257.
  75. Dietrich, Franz & List, Christian, 2007. "Strategy-Proof Judgment Aggregation," Economics and Philosophy, Cambridge University Press, vol. 23(3), pages 269-300, November.
  76. Gilbert Laffond & Jean Lainé, 2014. "Triple-consistent social choice and the majority rule," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(2), pages 784-799, July.
  77. Zoi Terzopoulou & Ulle Endriss, 2022. "Strategic manipulation in judgment aggregation under higher-level reasoning," Theory and Decision, Springer, vol. 92(2), pages 363-385, March.
  78. Franz Dietrich & Christian List, 2017. "Probabilistic opinion pooling generalized. Part one: general agendas," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(4), pages 747-786, April.
  79. Carl Claussen & Øistein Røisland, 2010. "A quantitative discursive dilemma," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(1), pages 49-64, June.
  80. Franz Dietrich, 2007. "A generalised model of judgment aggregation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(4), pages 529-565, June.
  81. List, Christian, 2010. "The theory of judgment aggregation: an introductory review," LSE Research Online Documents on Economics 27596, London School of Economics and Political Science, LSE Library.
  82. Jessica Flanigan, 2018. "Sweatshop Regulation and Workers’ Choices," Journal of Business Ethics, Springer, vol. 153(1), pages 79-94, November.
  83. Miller, Alan D., 2008. "Group identification," Games and Economic Behavior, Elsevier, vol. 63(1), pages 188-202, May.
  84. Klaus Nehring & Marcus Pivato & Clemens Puppe, 2016. "Unanimity overruled: Majority voting and the burden of history," Journal of Theoretical Politics, , vol. 28(4), pages 552-597, October.
  85. García-Bermejo, Juan Carlos, 2013. "A Non-Proposition-Wise Variant of Majority Voting for Aggregating Judgments," Working Papers in Economic Theory 2013/02, Universidad Autónoma de Madrid (Spain), Department of Economic Analysis (Economic Theory and Economic History).
  86. Lars J. K. Moen, 2024. "Collective agency and positive political theory," Journal of Theoretical Politics, , vol. 36(1), pages 83-98, January.
  87. Nehring, Klaus & Pivato, Marcus & Puppe, Clemens, 2011. "Condorcet admissibility: Indeterminacy and path-dependence under majority voting on interconnected decisions," MPRA Paper 32434, University Library of Munich, Germany.
  88. Gilbert Laffond & Jean Lainé, 2009. "Condorcet choice and the Ostrogorski paradox," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(2), pages 317-333, February.
  89. Mario Szegedy & Yixin Xu, 2015. "Impossibility Theorems and the Universal Algebraic Toolkit," Papers 1506.01315, arXiv.org.
  90. Takuya Sekiguchi, 2023. "Voting Records as Assessors of Premises Behind Collective Decisions," Group Decision and Negotiation, Springer, vol. 32(2), pages 257-275, April.
  91. Laffond, G. & Laine, J., 2006. "Single-switch preferences and the Ostrogorski paradox," Mathematical Social Sciences, Elsevier, vol. 52(1), pages 49-66, July.
  92. Philippe Mongin & Franz Dietrich, 2011. "An Interpretive Account of Logical Aggregation Theory," Working Papers hal-00579343, HAL.
  93. Baharad, Eyal & Neeman, Zvika & Rubinchik, Anna, 2020. "The rarity of consistent aggregators," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 146-149.
  94. Pivato, Marcus, 2008. "The geometry of consistent majoritarian judgement aggregation," MPRA Paper 9608, University Library of Munich, Germany.
  95. Terzopoulou, Zoi, 2020. "Quota rules for incomplete judgments," Mathematical Social Sciences, Elsevier, vol. 107(C), pages 23-36.
  96. Itai Sher, 2020. "How perspective-based aggregation undermines the Pareto principle," Politics, Philosophy & Economics, , vol. 19(2), pages 182-205, May.
  97. Franz Dietrich & Christian List, 2013. "Propositionwise judgment aggregation: the general case," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(4), pages 1067-1095, April.
  98. Michael Miller & Daniel Osherson, 2009. "Methods for distance-based judgment aggregation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(4), pages 575-601, May.
  99. Minkyung Wang, 2024. "Aggregating individual credences into collective binary beliefs: an impossibility result," Theory and Decision, Springer, vol. 97(1), pages 39-66, August.
  100. Peleg, Bezalel & Zamir, Shmuel, 2018. "Judgments aggregation by a sequential majority procedure," Mathematical Social Sciences, Elsevier, vol. 95(C), pages 37-46.
  101. Valeria Ottonelli, 2010. "What Does the Discursive Paradox Really Mean for Democracy?," Political Studies, Political Studies Association, vol. 58(4), pages 666-687, October.
  102. Dietrich, Franz & List, Christian, 2014. "Probabilistic Opinion Pooling," MPRA Paper 54806, University Library of Munich, Germany.
  103. repec:spo:wpecon:info:hdl:2441/eu4vqp9ompqllr09iepso50rh is not listed on IDEAS
  104. Franz Dietrich & Christian List, 2008. "Judgment aggregation without full rationality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(1), pages 15-39, June.
  105. Christian Schemmel, 2012. "Distributive and relational equality," Politics, Philosophy & Economics, , vol. 11(2), pages 123-148, May.
  106. Simon Rey & Ulle Endriss & Ronald Haan, 2025. "A general framework for participatory budgeting with additional constraints," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 64(1), pages 5-41, February.
  107. Philippe Mongin, 2011. "Judgment aggregation," Working Papers hal-00579346, HAL.
  108. Roger G. Koppl, 2006. "The Science Game: An Experiment on Reducing errors in Forensic Science and Other Areas," Papers on Economics and Evolution 2006-09, Philipps University Marburg, Department of Geography.
  109. Pablo Amorós, 2017. "The problem of aggregating experts' opinions to select the winner of a competition," Working Papers 2017-04, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
  110. Masaki Miyashita, 2017. "Binary Collective Choice with Multiple Premises," Discussion Paper Series DP2017-27, Research Institute for Economics & Business Administration, Kobe University.
  111. Marcus Pivato, 2009. "Geometric models of consistent judgement aggregation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(4), pages 559-574, November.
  112. Dietrich, Franz, 2010. "The possibility of judgment aggregation on agendas with subjunctive implications," Journal of Economic Theory, Elsevier, vol. 145(2), pages 603-638, March.
  113. Dietrich, F.K. & List, C., 2008. "The aggregation of propositional attitudes: towards a general theory," Research Memorandum 047, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  114. Aureli Alabert & Mercè Farré & Rubén Montes, 2023. "Optimal Decision Rules for the Discursive Dilemma," Group Decision and Negotiation, Springer, vol. 32(4), pages 889-923, August.
  115. Klaus Nehring, 2005. "The (Im)Possibility of a Paretian Rational," Economics Working Papers 0068, Institute for Advanced Study, School of Social Science.
  116. Gilbert Laffond & Jean Lainé, 2008. "The Budget-Voting Paradox," Theory and Decision, Springer, vol. 64(4), pages 447-478, June.
  117. Christian Klamler & Daniel Eckert, 2009. "A simple ultrafilter proof for an impossibility theorem in judgment aggregation," Economics Bulletin, AccessEcon, vol. 29(1), pages 319-327.
  118. Philippe Mongin, 2012. "Une source méconnue de la théorie de l'agrégation des jugements," Revue économique, Presses de Sciences-Po, vol. 63(4), pages 645-657.
  119. Elad Dokow & Ron Holzman, 2009. "Aggregation of binary evaluations for truth-functional agendas," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(2), pages 221-241, February.
  120. Dokow, Elad & Holzman, Ron, 2010. "Aggregation of binary evaluations," Journal of Economic Theory, Elsevier, vol. 145(2), pages 495-511, March.
  121. Brian Kogelmann, 2017. "Aggregating out of indeterminacy," Politics, Philosophy & Economics, , vol. 16(2), pages 210-232, May.
  122. Franz Dietrich & Christian List, 2008. "A liberal paradox for judgment aggregation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(1), pages 59-78, June.
  123. Franz Dietrich & Christian List, 2007. "Arrow’s theorem in judgment aggregation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(1), pages 19-33, July.
  124. Jean Baccelli & Marcus Pivato, 2021. "Philippe Mongin (1950–2020)," Theory and Decision, Springer, vol. 90(1), pages 1-9, February.
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