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Nearly Serial Sharing Methods
(Université de Montréal. Département de sciences économiques., 2004)
A group of agents participate in a cooperative enterprise producing a single good. Each participant contributes a particular type of input; output is nondecreasing in these contributions. How should it be shared? We analyze ...
Aumann-Shapley Pricing : A Reconsideration of the Discrete Case
(Université de Montréal. Département de sciences économiques., 2004)
We reconsider the following cost-sharing problem: agent i = 1,...,n demands a quantity xi of good i; the corresponding total cost C(x1,...,xn) must be shared among the n agents. The Aumann-Shapley prices (p1,...,pn) are ...
Size invariant measures of association: characterization and difficulties
(Université de Montréal. Département de sciences économiques., 2014-08)
A measure of association is row-size invariant if it is unaffected by the multiplication of all entries in a row of a cross-classification table by a same positive number. It is class-size invariant if it is unaffected by ...
A Note on Ordinally Equivalent Pareto Surfaces
(Université de Montréal. Département de sciences économiques., 1997)
Assuming at least three individuals and some regularity conditions, we construct a set S* of Pareto surfaces which is an ordinal basis of the set S of all surfaces: every surface in S is ordinally equivalent to some surface ...
Every Choice Function is Backwards-Induction Rationalizable
(Université de Montréal. Département de sciences économiques., 2013-01)
A choice function is backwards-induction rationalizable if there exists a finite perfect-information extensive-form game such that, for each subset of alternatives, the
backwards-induction outcome of the restriction of ...
Paretian Quasi-Orders: Two Agents
(Université de Montréal. Département de sciences économiques., 1999)
We characterize Paretian quasi-orders in the two-agent continuous case.
Responsibility and Cross-Subsidization in Cost Sharing
(Université de Montréal. Département de sciences économiques., 2002)
We propose two axiomatic theories of cost sharing with the common premise that agents demand comparable -though perhaps different- commodities and are responsible for their own demand. Under partial responsibility the ...
Maximal-Element Rationalizability
(Université de Montréal. Département de sciences économiques., 2002)
We examine the maximal-element rationalizability of choice functions with arbitrary do-mains. While rationality formulated in terms of the choice of greatest elements according to a rationalizing relation has been analyzed ...
Coherent Cost-Sharing Rules
(Université de Montréal. Département de sciences économiques., 1999)
We reconsider the discrete version of the axiomatic cost-sharing model. We propose a condition of (informational) coherence requiring that not all informational refinements of a given problem be solved differently from the ...
What Is a Commody? Two Axiomatic Anwers
(Université de Montréal. Département de sciences économiques., 2001)
We identify conditions under which preferences over sets of consumption opportunities can be reduced to preferences over bundles of \"commodities\". We distinguish ordinal bundles, whose coordinates are defined up to ...