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We study the implications of economies of party size in a model of party formation. We show that when the policy space is one-dimensional, candidates form at most two parties. This result does not depend on the magnitude of the economies of party size or

We study the implications of economies of party size in a model of party formation. We show that when the policy space is one-dimensional, candidates form at most two parties. This result does not depend on the magnitude of the economies of party size or

A first version of this paper has been presented at the 11th Conference on Real Analysis and Measure Theory in Ischia (Italy, 2004). This version was presented at the Debreu Memorial Conference in Berkeley (USA, 2005) International audience This paper studies production economies in a commodity space that is an ordered locally convex space. We establish a general theorem on the existence of equilibrium without requiring that the commodity space or its dual be a vector lattice. Such commodity spaces arise in models of portfolio trading where the absence of some option usually means the absence of a vector lattice structure. The conditions on preferences and production sets are at least as general as those imposed in the literature dealing with vector lattice commodity spaces. The main assumption on the order structure is that the Riesz-Kantorovich functionals satisfy a uniform properness condition that can be formulated in terms of a duality property that is readily checked. This condition is satisfied in a vector lattice commodity space but there are many examples of other commodity spaces that satisfy the condition, which are not vector lattices, have no order unit, and do not have either the decomposition property or its approximate versions.

International audience Compendious and thorough solutions to the existence of a linear price equilibrium problem, the second welfare theorem, and the limit theorem on the core are provided for exchange economies whose consomption sets are the positive cone of arbitrary ordered Fréchet-dispensing entirely with the assumption that the vector ordering of the commodity space is a lattice. The motivation comes from economic applications showing the need to bring within the scope of equilibrium theory vector orderings that are not lattices, which arise in the typical model of portfolio trading with missing options. The assumptions are on the primitives of the model. They are bounds on the marginals of non-linear prives and for omega-proper economies they are both sufficient and necessary. ; Résumé. Nous etudions l'existence de l'équilibre, ses propriétés d'optimalité et les théorèmes-limite pour le coeur d'une économie d'échange dont les ensembles de consommation coïncident avec le cône positif d'un espace de Fréchet ordonné, sans jamais faire l'hypothèse que l'espace de Fréchet est aussi un espace de Riesz. La motivation vient d'applications économiques à des modèles d'échange d'actifs financiers caractérisés par l'absence de certaines options. Les hypothèses sont faites sur les données du modèle d'économis d'échange. Les prix non-linéaires sont supposés être marginalement bornés. Pour une économie d'échange omega propre, cette hypothèse est à la fois nécessaire et suffisante.