32 documents found, page 1 of 4
Barrett's paradox of cooperation in the case of quasi-linear utilities
Accinelli, E; Afsar, A; Martins, F; Martins, J; Oliveira, B.M.P.M.; Oviedo, J; Alberto A. Pinto; Quintas, LThis 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...
Alberto A. Pinto; Bruno Mendes Oliveira; Luís Filipe Martins; Atefeh Afsar; Faculdade de Ciências da Nutrição e Alimentação da Universidade do PortoWe 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
Oliveira, B.M.P.M.; Yusuf, A.; Yannacopoulos, A.N.; Finkenstadt, B.; Alberto A. Pinto
Suppression of autoimmune responses by T cells after pathogen infection
Oliveira, B.M.P.M.; Trinchet, R.; Espinar, M.E.; Alberto A. Pinto; Burroughs, N.
Fitting of a immune response model to CD4+ T cell data in lymphocytic choriomen...
Martins. F.; Afsar, A.; Oliveira, B.M.P.M.; Alberto A. Pinto
Cournot duopolies with investment in R&D: Regions of Nash investment equilibria
Bruno M P M Oliveira; Becker Paulo, J; Alberto A. PintoWe 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
Oliveira, B.M.P.M.; Yusuf, A.; Figueiredo, J.P.; Burroughs, N.J.; Alberto A. Pinto
Modelling the suppression of autoimmunity by pathogen caused proliferation of T...
Oliveira, B.M.P.M.; Trinchet, R.; Alberto A. Pinto; Burroughs, N.J.
R&D dynamics with asymmetric efficiency
Ferreira, M; Almeida, J P; Bruno M P M Oliveira; Alberto A. PintoWe 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...
An Overview of Optimal Life Insurance Purchase, Consumption and Investment Prob...
Isabel Duarte; Diogo Pinheiro; Alberto A. Pinto; Stanley R. PliskaWe provide an extension to Merton's famous continuous time model of optimal consumption and investment, in the spirit of previous works by Pliska and Ye, to allow for a wage earner to have a random lifetime and to use a portion of the income to purchase life insurance in order to provide for his estate, while investing his savings in a financial market consisting of one risk-free security and an arbitrary numbe...