Quasi-Metrics for Possibility Results: Intergenerational Preferences and Continuity
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- Toyotaka Sakai, 2003. "Intergenerational preferences and sensitivity to the present," Economics Bulletin, AccessEcon, vol. 4(26), pages 1-5.
- Herden, G., 1989. "On the existence of utility functions," Mathematical Social Sciences, Elsevier, vol. 17(3), pages 297-313, June.
- 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.
- 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.
- 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.
- Herden, G., 1989. "On the existence of utility functions ii," Mathematical Social Sciences, Elsevier, vol. 18(2), pages 107-117, October.
- Levin, V. L., 1991. "Some applications of set-valued mappings in mathematical economics," Journal of Mathematical Economics, Elsevier, vol. 20(1), pages 69-87.
- Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
- 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.
- Levin, Vladimir L., 1997. "Reduced cost functions and their applications," Journal of Mathematical Economics, Elsevier, vol. 28(2), pages 155-186, September.
- Toyotaka Sakai, 2003. "An axiomatic approach to intergenerational equity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(1), pages 167-176.
- Graciela Chichilnisky, 1996.
"An axiomatic approach to sustainable development,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(2), pages 231-257, April.
- Chichilnisky, Graciela, 1995. "An axiomatic approach to sustainable development," MPRA Paper 8609, University Library of Munich, Germany.
- Efe A. Ok, 2007. "Preliminaries of Real Analysis, from Real Analysis with Economic Applications," Introductory Chapters, in: Real Analysis with Economic Applications, Princeton University Press.
- Peleg, Bezalel, 1970. "Utility Functions for Partially Ordered Topological Spaces," Econometrica, Econometric Society, vol. 38(1), pages 93-96, January.
- Luc Lauwers, 1997. "Continuity and equity with infinite horizons," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(2), pages 345-356.
- Banerjee, Kuntal & Dubey, Ram Sewak, 2014. "Do all constructive strongly monotone inter-temporal orders exhibit impatience?," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 66-69.
- 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.
- Faugeras, Olivier & Rüschendorf, Ludger, 2018. "Risk excess measures induced by hemi-metrics," TSE Working Papers 18-922, Toulouse School of Economics (TSE).
- Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-1256, July.
- Stoyan V. Stoyanov & Svetlozar T. Rachev & Frank J. Fabozzi, 2012. "Metrization Of Stochastic Dominance Rules," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 1-22.
- Evren, Özgür & Ok, Efe A., 2011. "On the multi-utility representation of preference relations," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 554-563.
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Keywords
quasi-pseudo-metrics; Pareto; anonymity; distributive fairness semiconvexity; social welfare (pre)orders; possibility result;All these keywords.
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