×

zbMATH — the first resource for mathematics

On the impossibility of complete non-interference in Paretian social judgements. (English) Zbl 1285.91042
Summary: We study a principle of ‘non-interference’ in social welfare judgements. Non-interference captures aspects of liberal approaches (particularly a Millian approach) to social decision making. In its full generality, non-interference produces an impossibility result: together with weak Pareto optimality, it implies that a social welfare ordering must be dictatorial. However, interesting restricted versions of non-interference are compatible with standard social welfare orderings.

MSC:
91B15 Welfare economics
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Alcantud, J. C.R., Non-interference and continuity: impossibility results for the evaluation of infinite utility streams, Mimeo, Universidad de Salamanca
[2] J.C.R. Alcantud, M.D. García-Sanz, Evaluations of infinite utility streams: Pareto-efficient and egalitarian axiomatics, MPRA Paper 20133, 2010.
[3] D.E. Campbell, On the possibility of efficient but non-welfarist policy analysis, Mimeo, Coll. William and Mary, Williamsburg, VA, 2002.
[4] Campbell, D. E.; Kelly, J. S., Impossibility theorems in the Arrovian framework, (Arrow, K. J.; Sen, A. K.; Suzumura, K., Handbook of Social Choice and Welfare, vol. 1, (2002), Elsevier Amsterdam)
[5] dʼAspremont, C., Axioms for social welfare orderings, (Hurwicz, L.; Schmeidler, D.; Sonnenschein, H., Social Goals and Social Organization: Essays in Memory of Elisha Pazner, (1985), Cambridge University Press Cambridge)
[6] Fleurbaey, M.; Tungodden, B.; Chang, H. F., Any non-welfarist method of policy assessment violates the Pareto principle: A comment, J. Polit. Economy, 111, 1382-1385, (2003)
[7] Kaplow, L.; Shavell, S., Any non-welfarist method of policy assessment violates the Pareto principle, J. Polit. Economy, 109, 281-286, (2001)
[8] Kaplow, L.; Shavell, S., Any non-welfarist method of policy assessment violates the Pareto principle: reply, J. Polit. Economy, 112, 249-251, (2004)
[9] Lombardi, M.; Veneziani, R., Liberal egalitarianism and the harm principle, (2009), Queen Mary University of London, working paper 649
[10] Lombardi, M.; Veneziani, R., Treading a fine line: characterisations and impossibilities for liberal principles in infinitely-lived societies, B.E. J. Theoretical Econ., 12, 24, (2012) · Zbl 1277.91048
[11] Mariotti, M.; Veneziani, R., Non-interference implies equality, Soc. Choice Welfare, 32, 123-128, (2009) · Zbl 1184.91087
[12] Mariotti, M.; Veneziani, R., The paradoxes of the liberal ethics of non-interference, (2009), Queen Mary University of London, working paper 653
[13] Mariotti, M.; Veneziani, R., Allocating chances of success in finite and infinite societies: the Utilitarian criterion, J. Math. Econ., 48, 226-236, (2012) · Zbl 1250.91042
[14] Mariotti, M.; Veneziani, R., Opportunities as chances: maximising the probability that everybody succeeds, (2012), University of Massachusetts Amherst, working paper 9
[15] Rubinstein, A., The single profile analogues to multi profile theorems: mathematical logicʼs approach, Int. Econ. Rev., 25, 719-730, (1984) · Zbl 0584.90004
[16] Sen, A. K., The impossibility of a Paretian liberal, J. Polit. Economy, 78, 152-157, (1970)
[17] Sen, A. K., Liberty and social choice, J. Philos., 80, 5-28, (1983)
[18] Sen, A. K., The idea of justice, (2009), Allen Lane London
[19] Suzumura, K., Pareto principles from inch to ell, Econ. Letters, 70, 95-98, (2001) · Zbl 0963.91020
[20] (Warnock, M., Utilitarianism, (1962), Fontana Press Glasgow)
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.