Key points are not available for this paper at this time.
Arrow's theorem, 507. — Proof of the Arrow impossibility theorem, 509. — The variations from Arrow's treatment, 511. — Relaxing the postulates, 512. — Intransitive social orderings, 513. — Restrictions on individual choice, 513. — Relaxing the independence postulate, 516. — Strategic misrepresentations of preferences, 517. — Social welfare functions based on cardinal utility, 519. — Calibration by threshold of discrimination, 519. — Independence of marginal utilities as a criterion of cardinality, 522. — Risk, utility and income distribution, 523. — Interpersonal comparisons and differences in tastes, 525. — Utility calibration in terms of a field of alternatives, 526. — Different concepts of a field of alternatives, 528. — Economic choice and socio-political choice, 530. — Evaluation and role identification, 530. — A hierarchy of social evaluations, 531. — Possible extremes of egalitarianism and anti-egalitarianism, 532. — Social choice in a dynamic world, 534. — The role of economics, 534.
William Vickrey (1960) studied this question.