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Utilitarianism for Infinite Utility Streams: A New Welfare Criterion and Its Axiomatic Characterization
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Cited by:
- Jonsson, Adam & Voorneveld, Mark, 2018.
"The limit of discounted utilitarianism,"
Theoretical Economics, Econometric Society, vol. 13(1), January.
- Jonsson, Adam & Voorneveld, Mark, 2014. "The limit of discounted utilitarianism," SSE/EFI Working Paper Series in Economics and Finance 748, Stockholm School of Economics, revised 01 Feb 2017.
- Asheim, Geir B. & d'Aspremont, Claude & Banerjee, Kuntal, 2010.
"Generalized time-invariant overtaking,"
Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 519-533, July.
- ASHEIM, Geir B. & d’ASPREMONT, Claude & BANERJEE, Kuntal, 2008. "Generalized time-invariant overtaking," LIDAM Discussion Papers CORE 2008065, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- ASHEIM, Geir B. & d’ASPREMONT, Claude & BANERJEE, Kuntal, 2010. "Generalized time-invariant overtaking," LIDAM Reprints CORE 2239, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Geir B, ASHEIM & Claude, D’ASPREMONT & Kuntal, BANERJEE, 2008. "Generalized time-invariant overtaking," Discussion Papers (ECON - Département des Sciences Economiques) 2008044, Université catholique de Louvain, Département des Sciences Economiques.
- Geir B. , ASHEIM & Claude, DASPREMONT & Kuntal, BANERJEE, 2008. "Generalized time-invariant overtaking," Discussion Papers (ECON - Département des Sciences Economiques) 2008039, Université catholique de Louvain, Département des Sciences Economiques.
- Asheim, Geir B. & d'Aspremont, Claude & Banerjee, Kuntal, 2008. "Generalized time-invariant overtaking," PIE/CIS Discussion Paper 394, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
- Geir B. Asheim & Claude d’Aspremont & Kuntal Banerjee, 2008. "Generalized time-invariant overtaking," Working Papers 08004, Department of Economics, College of Business, Florida Atlantic University.
- Geir Asheim & Stéphane Zuber, 2013.
"A complete and strongly anonymous leximin relation on infinite streams,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 819-834, October.
- Geir B. Asheim & Stéphane Zuber, 2011. "A Complete and Strongly Anonymous Leximin Relation on Infinite Streams," CESifo Working Paper Series 3578, CESifo.
- Geir B. Asheim & Stéphane Zuber, 2013. "A complete and strongly anonymous leximin relation on infinite streams," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00979780, HAL.
- Geir B. Asheim & Stéphane Zuber, 2013. "A complete and strongly anonymous leximin relation on infinite streams," Post-Print hal-00979780, HAL.
- Llavador, Humberto & Roemer, John E. & Silvestre, Joaquim, 2010.
"Intergenerational justice when future worlds are uncertain,"
Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 728-761, September.
- Humberto Llavador & John E. Roemer & Joaquim Silvestre, 2009. "Intergenerational Justice when Future Worlds Are Uncertain," Cowles Foundation Discussion Papers 1692, Cowles Foundation for Research in Economics, Yale University.
- Humberto Llavador & John E. Roemer & Joaquim Silvestre, 2010. "Intergenerational Justice When Future Worlds are Uncertain," Working Papers 473, Barcelona School of Economics.
- Joaquim Silvestre & Joaquim Silvestre & Joaquim Silvestre & John E. Roemer, 2009. "Intergenerational justice when future worlds are uncertain," Working Papers 103, University of California, Davis, Department of Economics.
- Humberto Llavador & John E. Roemer & Joaquim Silvestre, 2009. "Intergenerational justice when future worlds are uncertain," Economics Working Papers 1178, Department of Economics and Business, Universitat Pompeu Fabra, revised Jun 2010.
- Alain Ayong Le Kama & Thai Ha-Huy & Cuong Le Van & Katheline Schubert, 2014.
"A never-decisive and anonymous criterion for optimal growth models,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(2), pages 281-306, February.
- Alain Ayong Le Kama & Thai Ha Huy & Coung Le Van & Katheline Schubert, 2013. "A Never-decisive and Anonymous Criterion for Optimal Growth Models," Working Papers 2013-2, Department of Research, Ipag Business School.
- Alain Ayong Le Kama & Ha-Huy Thai & Cuong Le Van & Katheline Schubert, 2014. "A never-decisive and anonymous criterion for optimal growth models," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01044568, HAL.
- Alain Ayong Le Kama & Ha-Huy Thai & Cuong Le Van & Katheline Schubert, 2014. "A never-decisive and anonymous criterion for optimal growth models," Post-Print hal-01044568, HAL.
- repec:ipg:wpaper:2 is not listed on IDEAS
- Basu, Kaushik, 2010.
"A marketing scheme for making money off innocent people: A user's manual,"
Economics Letters, Elsevier, vol. 107(2), pages 122-124, May.
- Basu, Kaushik, 2009. "A Marketing Scheme for Making Money off Innocent People: A User's Manual," Working Papers 09-09, Cornell University, Center for Analytic Economics.
- Ali Khan, M. & Piazza, Adriana, 2012. "On the Mitra–Wan forestry model: A unified analysis," Journal of Economic Theory, Elsevier, vol. 147(1), pages 230-260.
- Geir B. Asheim & Kuntal Banerjee & Tapan Mitra, 2021. "How stationarity contradicts intergenerational equity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(2), pages 423-444, September.
- Pivato, Marcus & Fleurbaey, Marc, 2024. "Intergenerational equity and infinite-population ethics: A survey," Journal of Mathematical Economics, Elsevier, vol. 113(C).
- Geir B. Asheim & Tapan Mitra & Bertil Tungodden, 2016.
"Sustainable Recursive Social Welfare Functions,"
Studies in Economic Theory, in: Graciela Chichilnisky & Armon Rezai (ed.), The Economics of the Global Environment, pages 165-190,
Springer.
- Geir Asheim & Tapan Mitra & Bertil Tungodden, 2012. "Sustainable recursive social welfare functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(2), pages 267-292, February.
- Asheim, Geir B. & Mitra, Tapan & Tungodden, Bertil, 2006. "Sustainable recursive social welfare functions," Memorandum 18/2006, Oslo University, Department of Economics.
- Jean-Pierre Drugeon & Thai Ha Huy, 2022.
"A not so myopic axiomatization of discounting,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(1), pages 349-376, February.
- Jean-Pierre Drugeon & Thai Ha-Huy, 2018. "A not so myopic axiomatization of discounting," Documents de recherche 18-02, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
- Jean-Pierre Drugeon & Thai Ha-Huy, 2018. "A Not so Myopic Axiomatization of Discounting," Working Papers halshs-01761962, HAL.
- Jean-Pierre Drugeon & Thai Ha-Huy, 2018. "A Not so Myopic Axiomatization of Discounting," PSE Working Papers halshs-01761962, HAL.
- Jean-Pierre Drugeon & Thai Ha Huy, 2022. "A not so myopic axiomatization of discounting," PSE-Ecole d'économie de Paris (Postprint) halshs-03238955, HAL.
- Jean-Pierre Drugeon & Thai Ha Huy, 2022. "A not so myopic axiomatization of discounting," Post-Print halshs-03238955, HAL.
- 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 & 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.
- 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, 2008. "Multi-Profile Intergenerational Social Choice," Cahiers de recherche 2008-08, Universite de Montreal, Departement de sciences economiques.
- Geir B. Asheim, 2005. "Intergenerational Ethics under Resource Constraints," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 141(III), pages 313-330, September.
- Nicholas Stern, 2013. "Ethics, equity and the economics of climate change. Paper 2: Economics and Politics," GRI Working Papers 84b, Grantham Research Institute on Climate Change and the Environment.
- Kaushik Basu, 2009. "A Marketing Scheme for Making Money off Innocent People: A User’s Manual," Working Papers id:2341, eSocialSciences.
- Alain Ayong Le Kama & Cuong Le Van & Katheline Schubert, 2008.
"A Non-dictatorial Criterion for Optimal Growth Models,"
Working Papers
14, Development and Policies Research Center (DEPOCEN), Vietnam.
- Alain Ayong Le Kama & Cuong Le Van & Katheline Schubert, 2008. "A non-dictatorial criterion for optimal growth models," Post-Print halshs-00275758, HAL.
- Alain Ayong Le Kama & Cuong Le Van & Katheline Schubert, 2008. "A non-dictatorial criterion for optimal growth models," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00275758, HAL.
- Alain Ayong Le Kama & Cuong Le Van & Katheline Schubert, 2008. "A non-dictatorial criterion for optimal growth models," Documents de travail du Centre d'Economie de la Sorbonne v08030, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
- Claude, d’ASPREMONT, 2005.
"Formal welfarism and intergenerational equity,"
Discussion Papers (ECON - Département des Sciences Economiques)
2005051, Université catholique de Louvain, Département des Sciences Economiques.
- d’ASPREMONT, Claude, 2007. "Formal welfarism and intergenerational equity," LIDAM Reprints CORE 2047, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- d’ASPREMONT, Claude, 2005. "Formal welfarism and intergenerational equity," LIDAM Discussion Papers CORE 2005075, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Mohamed Ben Ridha Mabrouk, 2011.
"Translation invariance when utility streams are infinite and unbounded,"
International Journal of Economic Theory, The International Society for Economic Theory, vol. 7(4), pages 317-329, December.
- Mabrouk, Mohamed B.R., 2008. "Translation invariance when utility streams are infinite and unbounded," MPRA Paper 17664, University Library of Munich, Germany, revised 05 Oct 2009.
- Mabrouk, Mohamed, 2008. "Translation invariance when utility streams are infinite and unbounded," MPRA Paper 18523, University Library of Munich, Germany, revised 01 Oct 2009.
- Nicolas Gravel & Patrick Moyes, 2013.
"Utilitarianism or welfarism: does it make a difference?,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 529-551, February.
- Nicolas Gravel & Patrick Moyes, 2011. "Utilitarianism or Welfarism: Does it Make a Difference?," Working Papers halshs-00634010, HAL.
- Nicolas Gravel & Patrick Moyes, 2013. "Utilitarianism or welfarism: does it make a difference?," Post-Print hal-00650750, HAL.
- Patrick MOYES & Nicolas GRAVEL, 2011. "Utilitarianism or Welfarism: Does it Make a Difference?," Cahiers du GREThA (2007-2019) 2011-30, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
- Marco Mariotti & Roberto Veneziani, 2018.
"Opportunities as Chances: Maximising the Probability that Everybody Succeeds,"
Economic Journal, Royal Economic Society, vol. 128(611), pages 1609-1633, June.
- Marco Mariotti & Roberto Veneziani, 2012. "Opportunities as chances: maximising the probability that everybody succeeds," UMASS Amherst Economics Working Papers 2012-09, University of Massachusetts Amherst, Department of Economics.
- Marco, Mariotti & Roberto, Veneziani, 2012. "Opportunities as chances: maximising the probability that everybody succeeds," MPRA Paper 41884, University Library of Munich, Germany.
- Geir Asheim & Walter Bossert & Yves Sprumont & Kotaro Suzumura, 2010.
"Infinite-horizon choice functions,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(1), pages 1-21, April.
- ASHEIM, Geir B. & BOSSERT, Walter & SPRUMONT, Yves & SUZUMURA, Kotaro, 2006. "Infinite-Horizon Choice Functions," Cahiers de recherche 05-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Asheim, Geir B. & Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro & スズムラ, コウタロウ, 2008. "Infinite-horizon choice functions," PIE/CIS Discussion Paper 379, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
- Asheim, Geir B. & Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2006. "Infinite-horizon choice functions," Memorandum 17/2006, Oslo University, Department of Economics.
- ASHEIM, Geir B. & BOSSERT, Walter & SPRUMONT, Yves, 2006. "Infinite-Horizon Choice Functions," Cahiers de recherche 2006-08, Universite de Montreal, Departement de sciences economiques.
- Banerjee, Kuntal & Mitra, Tapan, 2010.
"Equivalence of utilitarian maximal and weakly maximal programs,"
Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 279-292, May.
- Banerjee, Kuntal & Mitra, Tapan, 2009. "Equivalence of Utilitarian Maximal and Weakly Maxmal Programs," Working Papers 09-03, Cornell University, Center for Analytic Economics.
- Kuntal Banerjee & Tapan Mitra, 2009. "Equivalence of Utilitarian Maximal and Weakly Maximal Programs," Working Papers 09002, Department of Economics, College of Business, Florida Atlantic University.
- Adam Jonsson & Mark Voorneveld, 2015. "Utilitarianism on infinite utility streams: summable differences and finite averages," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(1), pages 19-31, April.
- repec:ipg:wpaper:2013-002 is not listed on IDEAS
- Uyanik, Metin & Khan, M. Ali, 2022.
"The continuity postulate in economic theory: A deconstruction and an integration,"
Journal of Mathematical Economics, Elsevier, vol. 101(C).
- Metin Uyanik & M. Ali Khan, 2021. "The Continuity Postulate in Economic Theory: A Deconstruction and an Integration," Papers 2108.11736, arXiv.org, revised Jan 2022.
- Michele Lombardi & Kaname Miyagishima & Roberto Veneziani, 2016.
"Liberal Egalitarianism and the Harm Principle,"
Economic Journal, Royal Economic Society, vol. 126(597), pages 2173-2196, November.
- Michele Lombardi & Roberto Veneziani, 2009. "Liberal Egalitarianism and the Harm Principle," Working Papers 649, Queen Mary University of London, School of Economics and Finance.
- Lombardi, Michele & Miyagishima, Kaname & Veneziani, Roberto, 2013. "Liberal Egalitarianism and the Harm Principle," MPRA Paper 48458, University Library of Munich, Germany.
- Michele Lombardi & Kahame Miyagishima & Roberto Veneziani, 2013. "Liberal Egalitarianism and the Harm Principle," UMASS Amherst Economics Working Papers 2013-07, University of Massachusetts Amherst, Department of Economics.
- Michele Lombardi & Roberto Veneziani, 2009. "Liberal Egalitarianism and the Harm Principle," Global COE Hi-Stat Discussion Paper Series gd09-078, Institute of Economic Research, Hitotsubashi University.
- Mabrouk, Mohamed, 2009. "Comparing Incomparable Alternatives when certain intergenerational choice axiom are to be satisfied," MPRA Paper 82568, University Library of Munich, Germany.
- Alvarez-Cuadrado, Francisco & Van Long, Ngo, 2009.
"A mixed Bentham-Rawls criterion for intergenerational equity: Theory and implications,"
Journal of Environmental Economics and Management, Elsevier, vol. 58(2), pages 154-168, September.
- Francisco Alvarez-Cuadrado & Ngo Van Long, 2007. "A Mixed Bentham-Rawls Criterion For Intergenerational Equity: Theory And Implications," Departmental Working Papers 2007-03, McGill University, Department of Economics.
- ALVAREZ-CUADRADO, Francisco & LONG, Ngo Van, 2007. "A Mixed Bentham-Rawls Criterion for Intergenerational Equity : Theory and Implications," Cahiers de recherche 06-2007, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- 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.
- Adam Jonsson, 2023. "An axiomatic approach to Markov decision processes," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 97(1), pages 117-133, February.
- Geir B. Asheim & Kuntal Banerjee, 2010.
"Fixed‐step anonymous overtaking and catching‐up,"
International Journal of Economic Theory, The International Society for Economic Theory, vol. 6(1), pages 149-165, March.
- Geir B. Asheim & Kuntal Banerjee, 2009. "Fixed-step anonymous overtaking and catching-up," Working Papers 09001, Department of Economics, College of Business, Florida Atlantic University.
- Jonsson, Adam & Voorneveld, Mark, 2014. "Utilitarianism for infinite utility streams: summable differences and finite averages," SSE/EFI Working Paper Series in Economics and Finance 747, Stockholm School of Economics, revised 15 Apr 2014.
- Dubey, Ram Sewak & Mitra, Tapan, 2010. "On the Nature of Suppes-Sen Choice Functions in an Aggregative Growth Model," Working Papers 10-06, Cornell University, Center for Analytic Economics.
- Kuntal Banerjee, 2006. "On the Extension of the Utilitarian and Suppes–Sen Social Welfare Relations to Infinite Utility Streams," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(2), pages 327-339, October.
- Mitra, Tapan, 2004. "Intergenerational Equity and the Forest Management Problem," Working Papers 04-17, Cornell University, Center for Analytic Economics.
- 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.
- Li, Chen & Wakker, Peter P., 2024. "A simple and general axiomatization of average utility maximization for infinite streams," Journal of Economic Theory, Elsevier, vol. 216(C).
- repec:hal:pseose:hal-01044568 is not listed on IDEAS
- Ram Sewak Dubey & Francesco Ruscitti, 2024. "Fair Allocations in an Overlapping Generations Economy," Studies in Microeconomics, , vol. 12(2), pages 172-199, August.
- Susumu Cato, 2020. "Quasi-stationary social welfare functions," Theory and Decision, Springer, vol. 89(1), pages 85-106, July.
- Geir B. Asheim & Frikk Nesje, 2016.
"Destructive Intergenerational Altruism,"
Journal of the Association of Environmental and Resource Economists, University of Chicago Press, vol. 3(4), pages 957-984.
- Asheim, Geir B. & Nesje, Frikk, 2015. "Destructive intergenerational altruism," Memorandum 22/2015, Oslo University, Department of Economics.
- Stern, Nicholas, 2014. "Ethics, equity and the economics of climate change paper 2: economics and politics," LSE Research Online Documents on Economics 62704, London School of Economics and Political Science, LSE Library.
- Alcantud, José Carlos R. & García-Sanz, María D., 2009. "A comment on "Intergenerational equity: sup, inf, lim sup, and lim inf"," MPRA Paper 14763, University Library of Munich, Germany.
- Basu, Kaushik, 2013. "Shared prosperity and the mitigation of poverty : in practice and in precept," Policy Research Working Paper Series 6700, The World Bank.
- Iho Antti & Kitti Mitri, 2011. "A Tail-Payoff Puzzle in Dynamic Pollution Control," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 11(1), pages 1-30, May.
- 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.
- Henrik Petri, 2019. "Asymptotic properties of welfare relations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(4), pages 853-874, June.
- Kamaga, Kohei & 釜賀, 浩平 & カマガ, コウヘイ & Kojima, Takashi & コジマ, タカシ, 2008. "Q-anonymous social welfare relations on infinite utility streams," PIE/CIS Discussion Paper 391, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
- Han Bleichrodt & Umut Keskin & Kirsten I. M. Rohde & Vitalie Spinu & Peter Wakker, 2015. "Discounted Utility and Present Value—A Close Relation," Operations Research, INFORMS, vol. 63(6), pages 1420-1430, December.
- Ram Dubey & Tapan Mitra, 2013. "On the nature of Suppes–Sen maximal paths in an aggregative growth model," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(1), pages 173-205, January.
- Kaushik Basu, 2016. "Beyond the Invisible Hand: Groundwork for a New Economics," Economics Books, Princeton University Press, edition 1, number 9299.
- Kohei Kamaga, 2016. "Infinite-horizon social evaluation with variable population size," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(1), pages 207-232, June.
- Mariotti, Marco & Veneziani, Roberto, 2012. "Allocating chances of success in finite and infinite societies: The utilitarian criterion," Journal of Mathematical Economics, Elsevier, vol. 48(4), pages 226-236.
- Susumu Cato, 2009. "Characterizing the Nash social welfare relation for infinite utility streams: a note," Economics Bulletin, AccessEcon, vol. 29(3), pages 2372-2379.