We provide a result for non-emptiness of the core in NTU games. We use a payoffs-dependent balancedness condition, based on transfer rate mappings. Going beyond the non-emptiness of standard core, existence of some refined solution is proved, including specific core allocations and...

We prove the non-emptiness of the core of an NTU game satisfying a condition of payoff-dependent balancedness, based on transfer rate mappings. We also define a new equilibrium condition on transfer rates and we prove the existence of core payoff vectors satisfying this condition. The additional...

We present an extension of Borsuk's antipodal theorem (existence of a zero) for antipodally approachable correspondences without convex values. This result is a generalization of Borsuk-Ulam Theorem and has a fixed-point equivalent formulation.

This paper deals with the existence of marginal pricing equilibria when it is defined by using a new and tighter normal cone introduced by B. Cornet and M.O. Czarnecki. The main interest of this new definition of the marginal pricing rule comes from the fact that it is more precise in the sense...

In the framework of a vertical differentiation model where consumers are continuously distributed with respect to their intensity of preference for quality and their income, we study the optimal strategy of a natural monopoly : how many qualities to produce ? Which qualities should be produced?...

This paper discusses necessary optimality conditions for multi-objective optimization problems with application to theSecond Theorem of Welfare Economics. We use the extremal principle, since we consider non-convex sets non-smooth functions.Particularly, we develop a slight generalization of the...

Existence results for equilibria in economies under increasing returns to scale, fixed costs, or showing more general types of non convexity in the production sector, strongly rest on a crucial condition, known as the survival assumption. This assumption is unsatisfactory in the sense that it...

In this article, the authors report a general existence theorem of a marginal (cost) pricing equilibrium for an economy that may exhibit increasing returns to scale or more general types of nonconvexities in the production sector. Their model considers an arbitrary number of firms and no...