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L'article applique à la micro-économie une distinction classique en philosophie du langage, celle des propositions analytiques et synthétiques. Un article ultérieur la rapprochera de la distinction épistémologique des connaissances a priori et a posteriori. On commence par reprendre les...
Persistent link: https://www.econbiz.de/10004985446
Un article précédent étudiait la distinction sémantique de l'analytique et du synthétique et l'appliquait à la micro-économie; celui-ci confronte les propositions micro-économiques fondamentales à la distinction épistémologique de l'a priori et de l'a posteriori (ou de l'empirique),...
Persistent link: https://www.econbiz.de/10004985460
The paper surveys the currently available axioma.tizations of common belief (CB) and common knowledge (CK) by means of modal propositionallogic:s. (Throughout, knowledge - whether individual or common - is defined as true belief.) Section 1 introduces the formal method ofaxiomatization followed...
Persistent link: https://www.econbiz.de/10005042881
The paper axiomatizes individual and common belief by means of modal propositional logic systems of varying strength. The weakest system of all just requires the monotonicity of individual belief on top of the axiom and rules of common belief. It is proved to be sound and complete with respect...
Persistent link: https://www.econbiz.de/10005042905
When n individuals satisfy the axioms of subjective expected utility (SEU) theory and these individuals' probabilities or/and utilities are sufficiently diverse, it is impossible to aggregate the individuals' preferences into a (n + 1)-preference which is both Paretian and in agreement with SEU...
Persistent link: https://www.econbiz.de/10005042952
Mixture sets were introduced by Herstein and Milnor (1953) into decision theory, where they are still widely used. This note clarifies the formal connection between mixture sets and convex sets. The results suggest that the former concept might be unnecessary for decision-theoretic purposes.
Persistent link: https://www.econbiz.de/10005043262
Harsanyi’s Aggregation Theorem has often been dismissed as being irrelevant to utilitarianism, and thus void of ethical content. Some of these objections can be met by reformulating Harsanyi’s theorem in the multi-profile context of Social Welfare Functionals theory. The present paper aims...
Persistent link: https://www.econbiz.de/10005043317