The aim of the present paper is to show that the existence of a concrete outside option for firms executives can induce, under specific circumstances, every firm to adopt restrictive output practises. In particular, the paper characterizes the conditions for which, under Cournot oligopoly,...

We obtain explicitly the optimal path of prices for a monopolist operating in a network industry during a finite number of periods. We describe this optimal path as a function of network intensity and horizon length and show that the prices are increasing in time and that, for very low network...

In this paper we propose an accelerated version of the cubic regularization of Newton's method [6]. The original version, used for minimizing a convex function with Lipschitz - continuous Hessian, guarantees a global rate of convergence of order O(1/k²), where k is the iteration counter. Our...

In many applications it is possible to justify a reasonable bound for possible variation of subgradients of objective function rather than for their uniform magnitude. In this paper we develop a new class of efficient primal-dual subgradient schemes for such problem classes

In this paper, we consider the problem of correlation between the projections of two square matrices. These matrices of dimensions m x m and n x n are projected on a subspace of lower-dimension k under isometry constraints. We maximize the correlation between these projections expressed as a...

We investigate how differences in set-up costs of various types affect the trade-off between global efficiency and spatial equity and show that the standard assumption of symmetry in fixed costs masks the existence of an interesting effect: the range of available varieties varies depends on the...

We analyze a model of a vertically differentiated duopoly with two regions. These two locations differ for the market size or for the distribution of the willingness to pay for quality of their consumers. Firms sequentially choose to settle in one region and then simultaneously compete in...

A group of firms decides to cooperate on a project that requires a combination of inputs held by some of them. These inputs are non-rival but excludable goods i.e. public goods with exclusion such as knowledge, data or information, patents or copyrights. We address the question of how firms...

In this paper, we study the implications of assuming different technologies for physical capital accumulation and consumption. More precisely, we assume that physical capital accumulation is relatively more energy-intensive than consumption. We conclude that this hypothesis, together with the...

This paper studies the possibilities of technical progress to deal with the growth limit problem imposed by the usage of non-renewable energy resources, when physical capital production is relatively more energy-intensive than consumption. In particular, this work presents the conditions under...