Mori, Osamu Alternative derivation of the leximin principle. (English) Zbl 1295.91045 Econ. Lett. 124, No. 1, 157-159 (2014). Summary: This note provides an alternative derivation of the leximin principle using the framework of J. C. Harsanyi’s equi-probability model [“Cardinal utility in welfare economics and in the theory of risk-taking”, J. Polit. Econ. 61, 434–435 (1953; doi:10.1086/257416)]. We demonstrate that the leximin principle is concluded if and only if the preference ordering of the impartial observer obeys strong monotonicity and complete risk aversion. Cited in 1 Document MSC: 91B15 Welfare economics 91B14 Social choice 91B16 Utility theory Keywords:leximin; observer; lottery; risk aversion PDF BibTeX XML Cite \textit{O. Mori}, Econ. Lett. 124, No. 1, 157--159 (2014; Zbl 1295.91045) Full Text: DOI OpenURL References: [1] Bossert, W.; Weymark, J. A., Utility in social choice, (Baberà, S.; Hammond, P. J.; Seidl, C., Handbook of Utility Theory, vol. 2, (2004), Kluwer Academic Publishers Dordrecht), 1099-1177 [2] Chambers, C. P., Inequality aversion and risk aversion, J. Econom. Theory, 1642-1651, (2012) · Zbl 1244.91029 [3] d’Aspremont, C.; Gevers, L., Equity and the informational basis of collective choice, Rev. Econom. Stud., 44, 199-209, (1977) · Zbl 0376.90008 [4] Hammond, P. J., Equity, arrow’s conditions, and rawls’ difference principle, Econometrica, 44, 793-804, (1976) · Zbl 0331.90015 [5] Harsanyi, J. C., Cardinal utility in welfare economics and in the theory of risk-taking, J. Polit. Econ., 61, 434-435, (1953), Reprinted in Harsanyi (1976) [6] Harsanyi, J. C., Cardinal welfare, individualistic ethics, and interpersonal comparisons of utility, J. Polit. Econ., 63, 309-321, (1955), Reprinted in Harsanyi (1976) [7] Harsanyi, J. C., Can the maximin principle serve as a basis for morality? A critique of John rawls’s theory, Amer. Polit. Sci. Rev., 69, 594-606, (1975), Reprinted in Harsanyi (1976) [8] Harsanyi, J. C., Essays in ethics, social behaviour, and scientific explanation, (1976), Reidel Dordrecht [9] Harsanyi, J. C., Rational behavior and bargaining in games and social situations, (1977), Cambridge University Press · Zbl 0395.90087 [10] Harsanyi, J. C., Morality and the theory of rational behavior, Soc. Res., 44, 623-656, (1977), Reprinted in Sen, A.K., Williams, B. (Eds.), 1982. Utilitarianism and beyond [11] Mariotti, M.; Veneziani, R., ‘non-interference’ implies equality, Soc. Choice Welf., 32, 123-128, (2009) · Zbl 1184.91087 [12] Mas-Colell, A.; Whinston, M. D.; Green, J. R., Microeconomic theory, (1995), Oxford University Press · Zbl 1256.91002 [13] Schmidt, U., Alternatives to expected utility: formal theories, (Baberà, S.; Hammond, P. J.; Seidl, C., Handbook of Utility Theory, Vol. 2, (2004), Kluwer Academic Publishers Dordrecht), 757-837 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.