The possibility of Paretian anonymous decision-making with an infinite population
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DOI: 10.1007/s00355-019-01199-1
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- Geir B. Asheim, 2010. "Intergenerational Equity," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 197-222, September.
- 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.
- H. Reiju Mihara, 1997.
"Anonymity and neutrality in Arrow's Theorem with restricted coalition algebras,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(4), pages 503-512.
- H. Reiju Mihara, 1994. "Anonymity and Neutrality in Arrow's Theorem with Restricted Coalition Algebras," Public Economics 9411001, University Library of Munich, Germany, revised 07 Sep 1998.
- Juan Crespo & Carmelo Nuñez & Juan Rincón-Zapatero, 2009.
"On the impossibility of representing infinite utility streams,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(1), pages 47-56, July.
- Crespo, Juan A., 2007. "On the impossibility of representing infinite utility streams," UC3M Working papers. Economics we075530, Universidad Carlos III de Madrid. Departamento de EconomÃa.
- Uuganbaatar Ninjbat, 2015. "Impossibility theorems are modified and unified," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(4), pages 849-866, December.
- Kaushik Basu & Tapan Mitra, 2003.
"Aggregating Infinite Utility Streams with InterGenerational Equity: The Impossibility of Being Paretian,"
Econometrica, Econometric Society, vol. 71(5), pages 1557-1563, September.
- Basu, Kaushik & Mitra, Tapan, 2003. "Aggregating Infinite Utility Streams with Inter-generational Equity: The Impossibility of Being Paretian," Working Papers 03-03, Cornell University, Center for Analytic Economics.
- Van Liedekerke, Luc & Lauwers, Luc, 1997. "Sacrificing the Patrol: Utilitarianism, Future Generations and Infinity," Economics and Philosophy, Cambridge University Press, vol. 13(2), pages 159-174, October.
- Susumu Cato, 2016. "Rationality and Operators," SpringerBriefs in Economics, Springer, number 978-981-10-1896-1, June.
- Kirman, Alan P. & Sondermann, Dieter, 1972.
"Arrow's theorem, many agents, and invisible dictators,"
Journal of Economic Theory, Elsevier, vol. 5(2), pages 267-277, October.
- KIRMAN, Alan P. & SONDERMANN, Dieter, 1972. "Arrow's theorem, many agents, and indivisible dictators," LIDAM Reprints CORE 118, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Muto, Nozomu & Sato, Shin, 2016. "Bounded response of aggregated preferences," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 1-15.
- 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.
- 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.
- Susumu Cato, 2013. "Social choice, the strong Pareto principle, and conditional decisiveness," Theory and Decision, Springer, vol. 75(4), pages 563-579, October.
- Marc Fleurbaey, 2009. "Beyond GDP: The Quest for a Measure of Social Welfare," Journal of Economic Literature, American Economic Association, vol. 47(4), pages 1029-1075, December.
- Toyotaka Sakai, 2010.
"Intergenerational equity and an explicit construction of welfare criteria,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(3), pages 393-414, September.
- Sakai, Toyotaka & 坂井, 豊貴 & サカイ, トヨタカ, 2008. "Intergenerational equity and an explicit construction of welfare criteria," PIE/CIS Discussion Paper 395, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
- Lauwers, Luc, 2010.
"Ordering infinite utility streams comes at the cost of a non-Ramsey set,"
Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 32-37, January.
- Luc LAUWERS, 2009. "Ordering infinite utility streams comes at the cost of a non-Ramsey set," Working Papers of Department of Economics, Leuven ces09.05, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
- Torres, Ricard, 2005. "Limiting Dictatorial rules," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 913-935, November.
- Jun Iritani & Tomoyuki Kamo & Ryo-ichi Nagahisa, 2013. "Vetoer and tie-making group theorems for indifference-transitive aggregation rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(1), pages 155-171, January.
- Noguchi, Mitsunori, 2011. "Generic impossibility of Arrow’s impossibility theorem," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 391-400.
- Armstrong, Thomas E., 1980. "Arrow's theorem with restricted coalition algebras," Journal of Mathematical Economics, Elsevier, vol. 7(1), pages 55-75, March.
- Luc Lauwers, 2016.
"Intergenerational Equity, Efficiency, and Constructibility,"
Studies in Economic Theory, in: Graciela Chichilnisky & Armon Rezai (ed.), The Economics of the Global Environment, pages 191-206,
Springer.
- Luc Lauwers, 2012. "Intergenerational equity, efficiency, and constructibility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(2), pages 227-242, February.
- Luc LAUWERS, 2010. "Intergenerational equity, efficiency and constructability," Working Papers of Department of Economics, Leuven ces10.22, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
- Kohei Kamaga & Takashi Kojima, 2010.
"On the leximin and utilitarian overtaking criteria with extended anonymity,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(3), pages 377-392, September.
- Kamaga, Kohei & 釜賀, 浩平 & カマガ, コウヘイ & Kojima, Takashi & コジマ, タカシ, 2008. "On the leximin and utilitarian overtaking criteria with extended anonymity," PIE/CIS Discussion Paper 392, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
- Toyotaka Sakai, 2006. "Equitable Intergenerational Preferences on Restricted Domains," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(1), pages 41-54, August.
- Fishburn, Peter C., 1970. "Arrow's impossibility theorem: Concise proof and infinite voters," Journal of Economic Theory, Elsevier, vol. 2(1), pages 103-106, March.
- 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.
- Toyotaka Sakai, 2016. "Limit representations of intergenerational equity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(2), pages 481-500, August.
- Cato, Susumu, 2017. "Unanimity, anonymity, and infinite population," Journal of Mathematical Economics, Elsevier, vol. 71(C), pages 28-35.
- 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.
- 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.
- Lauwers, Luc & Van Liedekerke, Luc, 1995. "Ultraproducts and aggregation," Journal of Mathematical Economics, Elsevier, vol. 24(3), pages 217-237.
- Bengt Hansson, 1976. "The existence of group preference functions," Public Choice, Springer, vol. 28(1), pages 89-98, December.
- Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, June.
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Cited by:
- Pivato, Marcus & Fleurbaey, Marc, 2024. "Intergenerational equity and infinite-population ethics: A survey," Journal of Mathematical Economics, Elsevier, vol. 113(C).
- Susumu Cato, 2022. "Stable preference aggregation with infinite population," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(2), pages 287-304, August.
- Cato, Susumu, 2023. "When is weak Pareto equivalent to strong Pareto?," Economics Letters, Elsevier, vol. 222(C).
- Adrian Miroiu, 2020. "Coalitions of concerned voters: a characterization of the majority rule," Economics Bulletin, AccessEcon, vol. 40(4), pages 2717-2722.
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More about this item
Keywords
Social choice; Intergenerational equity; Possibility theorem; Unanimity; Anonymity; Ultrafilter;All these keywords.
JEL classification:
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
- D64 - Microeconomics - - Welfare Economics - - - Altruism; Philanthropy; Intergenerational Transfers
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
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