Alcantud, José Carlos R. (2013): Fuzzy sets from the ethics of social preferences. Published in: ESTYLF 2014  Libro de actas (January 2014): pp. 469474.

PDF
MPRA_paper_53549.pdf Download (155kB)  Preview 
Abstract
We show that the problem of evaluating infinite sequences (or streams) of utilities by a unique utility (or social welfare function) can be stated in terms of fuzzy subsets of the set of infinite utility sequences. For each stream, its evaluation can be viewed as its degree of membership to the subset of ‘ethically acceptable’ streams within the set of possible sequences. Since the property ‘being ethically acceptable’ is not well defined and cannot be exactly measured, the fuzzy approach seems especially adequate.
Item Type:  MPRA Paper 

Original Title:  Fuzzy sets from the ethics of social preferences 
Language:  English 
Keywords:  Fuzzy subset, Social welfare function, Ethical. 
Subjects:  C  Mathematical and Quantitative Methods > C0  General > C02  Mathematical Methods D  Microeconomics > D7  Analysis of Collective DecisionMaking D  Microeconomics > D9  Intertemporal Choice Y  Miscellaneous Categories > Y8  Related Disciplines > Y80  Related Disciplines 
Item ID:  53549 
Depositing User:  Jose Carlos R. Alcantud 
Date Deposited:  10. Feb 2014 15:13 
Last Modified:  10. Feb 2014 16:04 
References:  [1] J. C. R. Alcantud, M. D. GarcíaSanz: Paretian evaluation of infinite utility streams: An egalitarian criterion. Economics Letters 106, pp. 209–211, 2010. [2] G. B. Asheim: Intergenerational Equity. Annual Review of Economics 2, pp. 197–222, 2010. [3] G. B. Asheim, C. d’Aspremont, K. Banerjee: Generalized timeinvariant overtaking. Journal of Mathematical Economics 46, pp. 519–533, 2010. [4] G. B. Asheim, B. Tungodden: Resolving distributional conflicts between generations. Economic Theory 24, pp. 221–230, 2004. [5] K. Banerjee: On the equityefficiency trade off in aggregating infinite utility streams. Economics Letters 93, pp. 63–67, 2006. [6] K.Basu, T.Mitra: Aggregating infinite utility streams with intergenerational equity: the impossibility of being Paretian. Econometrica 71, pp. 1557–1563, 2003. [7] K. Basu, T. Mitra: Possibility theorems for equitably aggregating infinite utility streams. In: J. Roemer, K. Suzumura (Eds.), Intergenerational equity and sustainability: conference proceedings of the IWEA roundtable meeting on intergenerational equity, Palgrave, 2007. [8] J. Crespo, C. Núñez, J. P. RincónZapatero: On the impossibility of representing infinite utility streams. Economic Theory 40, pp. 47–56, 2009. [9] K. Kamaga, T. Kojima: Qanonymous social welfare relations on infinite utility streams. Social Choice and Welfare 33, pp. 405–413, 2009. [10] L. Lauwers: Infinite utility: insisting on strong monotonicity. Australasian Journal of Philosophy 75, pp. 222–233, 1997. [11] T. Mitra, K. Basu: On the existence of Paretian social welfare quasiorderings for infinite utility streams with extended anonymity. In: J. Roemer, K. Suzumura (Eds.), Intergenerational equity and sustainability: conference proceedings of the IWEA roundtable meeting on intergenerational equity, Palgrave, 2007. [12] T. Sakai: A characterization and an impossibility of finite length anonymity for infinite generations. Journal of Mathematical Economics 46, pp. 877–883, 2010. [13] L.G. Svensson: Equity among generations. Econometrica 48, pp. 12511256, 1980. [14] S. Zuber, G. B. Asheim: Justifying social discounting: The rankdiscounted utilitarian approach. Journal of Economic Theory 147, pp. 1572–1601, 2012. 
URI:  https://mpra.ub.unimuenchen.de/id/eprint/53549 