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Details

  • Name

    João Paulo Almeida
  • Cluster

    Computer Science
  • Role

    External Research Collaborator
  • Since

    01st April 2012
Publications

2018

Operational Research

Authors
Vaz, AIF; Almeida, JP; Oliveira, JF; Pinto, AA;

Publication
Springer Proceedings in Mathematics & Statistics

Abstract

2016

LOCAL MARKET STRUCTURE IN A HOTELLING TOWN

Authors
Pinto, AA; Almeida, JP; Parreira, T;

Publication
JOURNAL OF DYNAMICS AND GAMES

Abstract
We develop a theoretical framework to study the location-price competition in a Hotelling-type network game, extending the Hotelling model, with linear transportation costs, from a line (city) to a network (town). We show the existence of a pure Nash equilibrium price if, and only if, some explicit conditions on the production costs and on the network structure hold. Furthermore, we prove that the local optimal localization of the firms are at the cross-roads of the town.

2016

R&D dynamics with asymmetric efficiency

Authors
Ferreira, M; Almeida, JP; Oliveira, BMPM; Pinto, AA;

Publication
Springer Proceedings in Mathematics and Statistics

Abstract
We consider an R&D investment function in a Cournot duopoly competitionmodel 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 efficiency of their R&D investment programs.We study the myopic dynamics on the production costs obtained from investing the Nash investment equilibria. © Springer-Verlag Berlin Heidelberg 2016.

2016

Anosov Diffeomorphisms and -Tilings

Authors
Almeida, JP; Pinto, AA;

Publication
COMMUNICATIONS IN MATHEMATICAL PHYSICS

Abstract
We consider a toral Anosov automorphism G(gamma) : T-gamma --> T-gamma given by G(gamma) (x, y) = (ax + y, x) in the < v, w > base, where , a is an element of N\{1}, gamma = 1/(a + 1/(a + 1/...)), v = (gamma, 1) and w = (-1, gamma) in the canonical base of R-2 and T-gamma = R-2 / (vZ x wZ). We introduce the notion of gamma-tilings to prove the existence of a one-to-one correspondence between (i) marked smooth conjugacy classes of Anosov diffeomorphisms, with invariant measures absolutely continuous with respect to the Lebesgue measure, that are in the isotopy class of G(gamma); (ii) affine classes of gamma-tilings; and (iii) gamma-solenoid functions. Solenoid functions provide a parametrization of the infinite dimensional space of the mathematical objects described in these equivalences.

2015

Operational Research

Authors
Almeida, JP; Oliveira, JF; Pinto, AA;

Publication
CIM Series in Mathematical Sciences

Abstract