Roberts’ weak welfarism theorem: a minor correction
| Autor: | Peter J. Hammond |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Computer Science::Computer Science and Game Theory
Economics and Econometrics social welfare functionals weak welfarism Welfarism HB jel:D71 05 social sciences Independence of irrelevant alternatives Pareto principle Monotonic function Function (mathematics) Unrestricted domain 0502 economics and business 050206 economic theory Pairwise comparison 050207 economics Preference (economics) Mathematical economics Social Sciences (miscellaneous) Mathematics |
| Zdroj: | Social Choice and Welfare. 60:121-134 |
| ISSN: | 1432-217X 0176-1714 |
| Popis: | Roberts’ “weak neutrality” or “weak welfarism” theorem concerns Sen social welfare functionals which are defined on an unrestricted domain of utility function profiles and satisfy independence of irrelevant alternatives, the Pareto condition, and a form of weak continuity. Roberts (Rev Econ Stud 47(2):421–439, 1980) claimed that the induced welfare ordering on social states has a one-way representation by a continuous, monotonic real-valued welfare function defined on the Euclidean space of interpersonal utility vectors—that is, an increase in this welfare function is sufficient, but may not be necessary, for social strict preference. A counter-example shows that weak continuity is insufficient; a minor strengthening to pairwise continuity is proposed instead and its sufficiency demonstrated. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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