32 documents found, page 1 of 4

Barrett's paradox of cooperation in the case of quasi-linear utilities

This paper fits in the theory of international agreements by studying the success of stable coalitions of agents seeking the preservation of a public good. Extending Baliga and Maskin, we consider a model of N homogeneous agents with quasi-linear utilities of the form u(j) (r(j); r) = r(alpha) - r(j), where r is the aggregate contribution and the exponent alpha is the elasticity of the gross utility. When the v...

A fit of CD4+ T cell immune response to an infection by lymphocytic choriomenin...

We fit an immune response model to data reporting the CD4+ T cell numbers from the 28 days following the infection of mice with lymphocytic choriomeningitis virus LCMV.We used an ODE model that was previously used to describe qualitatively the behaviour of CD4+ T cells, regulatory T cells (Tregs) and interleukine-2 (IL-2) density. The model considered two clonotypes of T cells in order to fit simultaneously the...

Price formation in a random pairing market with bounded rationality

Suppression of autoimmune responses by T cells after pathogen infection

Fitting of a immune response model to CD4+ T cell data in lymphocytic choriomen...

Cournot duopolies with investment in R&D: Regions of Nash investment equilibria

We study a model of a Cournot duopoly where firms invest in R&D to reduce their production costs. Depending on the parameters, we may find regions with one, two or three Nash equilibria of the investment. Here, we study the effect of the parameters in these regions, in particular, we study the effect of the possible market saturation, the maximum relative cost reduction and the product differentiation, giving s...

CD4+ T cells and Tregs stability analysis

Modelling the suppression of autoimmunity by pathogen caused proliferation of T...

R&D dynamics with asymmetric efficiency

We consider an R&D investment function in a Cournot duopoly competition model inspired in the logistic equation. We study the economical effects resulting from the firms having different R&D efficiencies. We present three cases: (1) both firms are efficient and have the same degree of efficiency; (2) both firms are less efficient and have the same degree of efficiency; (3) firms are asymmetric in terms of the e...

A Hotelling-Type Network

This paper develops a theoretical framework to study spatial price competition in a Hotelling-type network game. Each firm i is represented by a node of degree k i , where k i is the number of firm i's direct competitors (neighbors). We investigate price competition á la Hotelling with complete and incomplete information about the network structure. The goal is to investigate the effects of the network structur...