Articles scientifiques

A Note on Affine Aggregation


Economics Letters

1995, vol. 47, pp.177-183

Départements : Economie et Sciences de la décision, GREGHEC (CNRS)

If a vector-valued function has convex range and one of its components is related to the others by a Pareto-like condition, that component must be affine w.r.t. the others; sign restrictions on the coefficients follow from suitably strengthening the unanimity condition. The theorem is applied to social choice and decision theories

Aggregation of Semi-Orders: Intransitive Indifference Makes a Difference

I. GILBOA, R. Lapson

Economic Theory

1995, vol. 5, pp.109-126

Départements : Economie et Sciences de la décision, GREGHEC (CNRS)

Belief Closure - A Semantics of Common Knowledge for Modal Propositional Logic

L. Lismont, P. MONGIN

Mathematical Social Sciences

1995, vol. 30, pp.127-153

Départements : Economie et Sciences de la décision, GREGHEC (CNRS)

The paper investigates the relations between iterate and fixed-point accounts of common belief and common knowledge, using the formal tools of epistemic modal logic. Its main logical contribution is to introduce and axiomatize the following (fixed-point) notion of common belief. We first define a proposition to be belief-closed if everybody believes it in every world where it is true. We then define a proposition to be common belief in a world if it is implied by a belief-closed proposition that everybody believes in that world. Using the belief closure semantics of common belief, the paper proves soundness and completeness theorems for modal logics of varying strength. The weakest system involves a monotonicity assumption on individual belief; the strongest system is based on S5. Axiomatizations of common knowledge are secured by adding the truth axiom to any system. The paper also discusses anticipations of the belief closure semantics in the economic and game-theoretic literatures

Canonical Representation of Set Functions

I. GILBOA, D. Schmeidler

Mathematical Methods of Operations Research

1995, vol. 20, pp.197-212

Départements : Economie et Sciences de la décision, GREGHEC (CNRS)

Case-Based Decision Theory

I. GILBOA, D. Schmeidler

Quarterly Journal of Economics

1995, vol. 110, pp.605-639

Départements : Economie et Sciences de la décision, GREGHEC (CNRS)


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