Arrow's theorem, many agents, and indivisible dictators

Citations

Cited by:

1. Shino Takayama & Akira Yokotani, 2017. "Social choice correspondences with infinitely many agents: serial dictatorship," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(3), pages 573-598, March.
2. John Weymark, 1984. "Arrow's theorem with social quasi-orderings," Public Choice, Springer, vol. 42(3), pages 235-246, January.
   • WEYMARK, John, 1984. "Arrow's theorem with social quasi-orderings," LIDAM Reprints CORE 609, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
3. BOSSERT, Walter & SUZUMURA, Kotaro, 2012. "Multi-Profile Intertemporal Social Choice," Cahiers de recherche 2012-08, Universite de Montreal, Departement de sciences economiques.
   • Walter Bossert & Kotaro Suzumura, 2012. "Multi-Profile Intertemporal Social Choice," Cahiers de recherche 09-2012, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
4. Philippe Mongin, 2012. "The doctrinal paradox, the discursive dilemma, and logical aggregation theory," Theory and Decision, Springer, vol. 73(3), pages 315-355, September.
   • Philippe Mongin, 2012. "The doctrinal paradox, the discursive dilemma, and logical aggregation theory," Post-Print hal-00733521, HAL.
   • Mongin, Philippe, 2012. "The doctrinal paradox, the discursive dilemma, and logical aggregation theory," MPRA Paper 37752, University Library of Munich, Germany.
5. Fleurbaey, Marc & Michel, Philippe, 2003. "Intertemporal equity and the extension of the Ramsey criterion," Journal of Mathematical Economics, Elsevier, vol. 39(7), pages 777-802, September.
   • FLEURBAEY, Marc & MICHEL, Philippe, 1997. "Intertemporal equity and the extension of the Ramsey criterion," LIDAM Discussion Papers CORE 1997004, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
   • M. Fleurbaey & P. Michel, 1997. "Intertemporal equity and the extension of the Ramsey criterion," THEMA Working Papers 97-11, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
6. Bossert, Walter & Suzumura, Kotaro, 2012. "Product filters, acyclicity and Suzumura consistency," Mathematical Social Sciences, Elsevier, vol. 64(3), pages 258-262.
   • BOSSERT, Walter & SUZUMURA, Kotaro, 2010. "Product Filters, Acyclicity and Suzumura Consistency," Cahiers de recherche 20-2010, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
   • BOSSERT, Walter & SUZUMURA, Kotaro, 2010. "Product Filters, Acyclicity and Suzumura Consistency," Cahiers de recherche 2010-11, Universite de Montreal, Departement de sciences economiques.
7. Mongin, Philippe & Dietrich, Franz, 2011. "An interpretive account of logical aggregation theory," HEC Research Papers Series 941, HEC Paris.
   • Philippe Mongin & Franz Dietrich, 2011. "An Interpretive Account of Logical Aggregation Theory," Working Papers hal-00579343, HAL.
8. Marcus Pivato, 2014. "Additive representation of separable preferences over infinite products," Theory and Decision, Springer, vol. 77(1), pages 31-83, June.
   • Pivato, Marcus, 2011. "Additive representation of separable preferences over infinite products," MPRA Paper 28262, University Library of Munich, Germany.
   • Marcus Pivato, 2014. "Additive representation of separable preferences over infinite products," Post-Print hal-02979672, HAL.
9. Wesley H. Holliday & Eric Pacuit, 2020. "Arrow’s decisive coalitions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 463-505, March.
10. Chichilnisky, Graciela & Heal, Geoffrey, 1983. "Necessary and sufficient conditions for a resolution of the social choice paradox," Journal of Economic Theory, Elsevier, vol. 31(1), pages 68-87, October.
    • Chichilnisky, Graciela & Heal, Geoffrey, 1979. "Necessary and sufficient conditions for a resolution of the social choice paradox," MPRA Paper 8495, University Library of Munich, Germany, revised 20 Oct 1981.
11. Walter Bossert & Kotaro Suzumura, 2015. "Multi-Profile Intertemporal Social Choice: A Survey," Studies in Choice and Welfare, in: Constanze Binder & Giulio Codognato & Miriam Teschl & Yongsheng Xu (ed.), Individual and Collective Choice and Social Welfare, edition 127, pages 109-126, Springer.
    • Bossert, Walter & Suzumura, Kotaro, 2013. "Multi-profile intertemporal social choice: a survey," CIS Discussion paper series 584, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
    • Bossert, Walter & Suzumura, Kotaro, 2013. "Multi-profile intertemporal social choice: a survey," CIS Discussion paper series 591, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
12. Walter Bossert & Kotaro Suzumura, 2012. "Quasi-transitive and Suzumura consistent relations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 323-334, July.
    • BOSSERT, Walter & SUZUMURA, Kotaro, 2009. "Quasi-Transitive and Suzumura Consistent Relations," Cahiers de recherche 06-2009, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    • BOSSERT, Walter & SUZUMURA, Kotaro, 2009. "Quasi-transitive and Suzumura consistent relations," Cahiers de recherche 2009-05, Universite de Montreal, Departement de sciences economiques.
13. H. Reiju Mihara, 2001. "Existence of a coalitionally strategyproof social choice function: A constructive proof," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(3), pages 543-553.
    • H. Reiju Mihara, 1996. "Existence of a Coalitionally Strategyproof Social Choice Function: A Constructive Proof," Public Economics 9604002, University Library of Munich, Germany, revised 01 Jun 2004.
14. Chatterjee, Swarnendu & Peters, Hans & Storcken, Ton, 2016. "Locating a public good on a sphere," Economics Letters, Elsevier, vol. 139(C), pages 46-48.
    • Chatterjee, S. & Peters, H.J.M. & Storcken, A.J.A., 2015. "Locating a public good on a sphere," Research Memorandum 028, Maastricht University, Graduate School of Business and Economics (GSBE).
15. Susumu Cato, 2018. "Infinite Population and Positive Responsiveness: A Note," Economics Bulletin, AccessEcon, vol. 38(1), pages 196-200.
16. Pierre Batteau & Jean-Marie Blin, 1976. "On Group Manipulability of Voting Procedures," Discussion Papers 242, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
17. Susumu Cato, 2013. "Quasi-decisiveness, quasi-ultrafilter, and social quasi-orderings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(1), pages 169-202, June.
18. Mihara, H. Reiju, 2017. "Characterizing the Borda ranking rule for a fixed population," MPRA Paper 78093, University Library of Munich, Germany.
19. Susumu Cato, 2018. "Collective rationality and decisiveness coherence," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(2), pages 305-328, February.
20. Simone Landini & Mauro Gallegati & J. Barkley Rosser, 2020. "Consistency and incompleteness in general equilibrium theory," Journal of Evolutionary Economics, Springer, vol. 30(1), pages 205-230, January.
21. Priscilla Man & Shino Takayama, 2013. "A unifying impossibility theorem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(2), pages 249-271, October.
    • Priscilla Man & Shino Takayama, 2012. "A Unifying Impossibility Theorem," Discussion Papers Series 448, School of Economics, University of Queensland, Australia.
22. Mihara, H. Reiju, 2004. "Nonanonymity and sensitivity of computable simple games," Mathematical Social Sciences, Elsevier, vol. 48(3), pages 329-341, November.
    • H. Reiju Mihara, 2003. "Nonanonymity and sensitivity of computable simple games," Game Theory and Information 0310006, University Library of Munich, Germany, revised 01 Jun 2004.
23. Eisermann, Michael, 2006. "Arrovian juntas," MPRA Paper 81, University Library of Munich, Germany, revised 03 Oct 2006.
24. Susumu Cato, 2013. "Social choice, the strong Pareto principle, and conditional decisiveness," Theory and Decision, Springer, vol. 75(4), pages 563-579, October.
25. Walter Bossert & Kotaro Suzumura, 2011. "Multi-profile intergenerational social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(3), pages 493-509, September.
    • BOSSERT, Walter & SUZUMURA, Kotaro, 2008. "Multi-Profile Intergenerational Social Choice," Cahiers de recherche 2008-08, Universite de Montreal, Departement de sciences economiques.
    • Bossert, Walter & Suzumura, Kotaro & 鈴村, 興太郎 & スズムラ, コウタロウ, 2010. "Multi-Profile Intergenerational Social Choice," PIE/CIS Discussion Paper 484, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
    • Bossert, Walter & Suzumura, Kotaro & 鈴村, 興太郎 & スズムラ, コウタロウ, 2009. "Multi-Profile Intergenerational Social Choice," PIE/CIS Discussion Paper 426, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
    • BOSSERT, Walter & SUZUMURA, Kotaro, 2008. "Multi-Profile Intergenerational Social Choice," Cahiers de recherche 08-2008, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    • Bossert, Walter & Suzumura, Kotaro & 鈴村, 興太郎 & スズムラ, コウタロウ, 2008. "Multi-Profile Intergenerational Social Choice," PIE/CIS Discussion Paper 380, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
26. Cato, Susumu, 2015. "Weak independent decisiveness and the existence of a unique vetoer," Economics Letters, Elsevier, vol. 131(C), pages 59-61.
27. Susumu Cato, 2013. "Alternative proofs of Arrow’s general possibility theorem," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 131-137, November.
28. Susumu Cato, 2019. "The possibility of Paretian anonymous decision-making with an infinite population," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(4), pages 587-601, December.
29. Herzberg, Frederik & Eckert, Daniel, 2012. "The model-theoretic approach to aggregation: Impossibility results for finite and infinite electorates," Mathematical Social Sciences, Elsevier, vol. 64(1), pages 41-47.
30. 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.
31. Herzberg, Frederik S., 2008. "Judgement aggregation functions and ultraproducts," MPRA Paper 10546, University Library of Munich, Germany, revised 10 Sep 2008.
    • Herzberg, Frederik, 2011. "Judgment aggregation functions and ultraproducts," Center for Mathematical Economics Working Papers 405, Center for Mathematical Economics, Bielefeld University.
32. Pivato, Marcus, 2008. "Sustainable preferences via nondiscounted, hyperreal intergenerational welfare functions," MPRA Paper 7461, University Library of Munich, Germany.
33. Julian H. Blau & Donald J. Brown, 1978. "The Structure of Neutral Monotonic Social Functions," Cowles Foundation Discussion Papers 485, Cowles Foundation for Research in Economics, Yale University.
34. Mihara, H. Reiju, 1999. "Arrow's theorem, countably many agents, and more visible invisible dictators1," Journal of Mathematical Economics, Elsevier, vol. 32(3), pages 267-287, November.
35. Pierre Batteau, 1978. "Stability of Aggregation Procedures, Ultrafilters and Simple Games," Discussion Papers 318, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
36. Susumu Cato, 2010. "Brief proofs of Arrovian impossibility theorems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(2), pages 267-284, July.
37. Murat Öztürk & Hans Peters & Ton Storcken, 2014. "On the location of public bads: strategy-proofness under two-dimensional single-dipped preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 83-108, May.
38. Kim Border, 1984. "An impossibility theorem for spatial models," Public Choice, Springer, vol. 43(3), pages 293-305, January.
39. 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.
    • Mongin, Philippe, 2011. "Une source méconnue de la théorie de l'agrégation des jugements," HEC Research Papers Series 953, HEC Paris.
40. Andrei Gomberg & César Martinelli & Ricard Torres, 2005. "Anonymity in large societies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 25(1), pages 187-205, October.
    • Andrei Gomberg & Cesar Martinelli & Ricard Torres, 2002. "Anonymity in Large Societies," Working Papers 0211, Centro de Investigacion Economica, ITAM.
41. Banks, Jeffrey S. & Duggan, John & Le Breton, Michel, 2006. "Social choice and electoral competition in the general spatial model," Journal of Economic Theory, Elsevier, vol. 126(1), pages 194-234, January.
    • Banks, Jeffrey S. & Duggan, John & Le Breton, Michel, 2003. "Social Choice and Electoral Competition in the General Spatial Model," IDEI Working Papers 188, Institut d'Économie Industrielle (IDEI), Toulouse.
42. Surekha Rao & Achille Basile & K. P. S. Bhaskara Rao, 2018. "On the ultrafilter representation of coalitionally strategy-proof social choice functions," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(1), pages 1-13, April.
43. Cato, Susumu, 2017. "Unanimity, anonymity, and infinite population," Journal of Mathematical Economics, Elsevier, vol. 71(C), pages 28-35.
44. Cato, Susumu, 2013. "Remarks on Suzumura consistent collective choice rules," Mathematical Social Sciences, Elsevier, vol. 65(1), pages 40-47.
45. Bossert, Walter & Cato, Susumu, 2020. "Acyclicity, anonymity, and prefilters," Journal of Mathematical Economics, Elsevier, vol. 87(C), pages 134-141.
46. Bedrosian, Geghard & Herzberg, Frederik, 2016. "Microeconomic foundations of representative agent models by means of ultraproducts," Center for Mathematical Economics Working Papers 514, Center for Mathematical Economics, Bielefeld University.
47. Stinchcombe, Maxwell B., 2005. "Nash equilibrium and generalized integration for infinite normal form games," Games and Economic Behavior, Elsevier, vol. 50(2), pages 332-365, February.
48. Stefanescu, Anton, 1997. "Impossibility results for choice correspondences," Mathematical Social Sciences, Elsevier, vol. 33(2), pages 129-148, April.
49. Norbert Brunner & H. Reiju Mihara, 1999. "Arrow's theorem, Weglorz' models and the axiom of choice," Public Economics 9902001, University Library of Munich, Germany, revised 01 Jun 2004.
50. H. Reiju Mihara, 1997. "Arrow's Theorem, countably many agents, and more visible invisible dictators," Public Economics 9705001, University Library of Munich, Germany, revised 01 Jun 2004.
51. Susumu Cato, 2012. "Social choice without the Pareto principle: a comprehensive analysis," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(4), pages 869-889, October.
52. Hannu Salonen & Kari Saukkonen, 2005. "On continuity of Arrovian social welfare functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 25(1), pages 85-93, October.
53. Shino Takayama & Akira Yokotani, 2014. "Serial Dictatorship with Infinitely Many Agents," Discussion Papers Series 503, School of Economics, University of Queensland, Australia.
54. Lauwers, Luc & Van Liedekerke, Luc, 1995. "Ultraproducts and aggregation," Journal of Mathematical Economics, Elsevier, vol. 24(3), pages 217-237.
55. Frank M. V. Feys & Helle Hvid Hansen, 2019. "Arrow's Theorem Through a Fixpoint Argument," Papers 1907.10381, arXiv.org.
56. Uuganbaatar Ninjbat, 2018. "Impossibility theorems with countably many individuals," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 9(3), pages 333-350, August.