We propose a statistical duality among the preferences and endowments of the agents. Under this duality, the logarithmic prices of random trades among agents in a decentralized economy converge in expectation to the logarithm of the Walrasian equilibrium price in a centralized economy.
We study the equilibria of an Ordinary Differencial Equation (ODE) system where CD4 + effector or helper T cells and Regulatory T cells (Tregs) are present. T cells trigger an immune response in the presence of their specific antigen. Regulatory T cells (Tregs) play a role in limiting auto-immune diseases due to their immune-suppressive ability. Here, we present explicit exact formulas that give the relationshi...
Inspired by the Daley-Kendall and Goffman-Newill models, we propose an Ignorant-Believer-Unbeliever rumor (or fake news) spreading model with the following characteristics: (i) a network contact between individuals that determines the spread of rumors; (ii) the value (cost versus benefit) for individuals who search for truthful information (learning); (iii) an impact measure that assesses the risk of believing ...
Introduction: Impairments in thought processes, perception, interaction skills, and social functioning are common in individuals with schizophrenia. The Therapeutic Occupation Activities (TOA) promote, prevent, empower, and recover their social skills and appropriate verbal and nonverbal behaviors. This study reviews the evidence on the relevance, effectiveness, and benefits of this learning and training. Devel...
Introdução: A pessoa com esquizofrenia apresenta classicamente prejuízo do processo do pensamento, da perceção e das habilidades de interação e de funcionamento social. As Atividades de Ocupação Terapêutica (AOT) promovem, previnem, e habilitam e recuperam as habilidades sociais, os comportamentos verbais e não-verbais apropriados, apresentando-se a revisão de evidências que mostram a pertinência, eficácia e os...
We use the reinfection SIRI epidemiological model to analyze the impact of education programs and vaccine scares on individuals decisions to vaccinate or not. The presence of the reinfection provokes the novelty of the existence of three Nash equilibria for the same level of the morbidity relative risk instead of a single Nash equilibrium as occurs in the SIR model studied by Bauch and Earn (PNAS 101:13391–1339...
Após o final da 2ª Guerra Mundial e o consequente rearranjo de poderes na ordem internacional verificou-se a emergência progressiva de movimentos de autodeterminação claramente antagónicos à ordem colonial previamente estabelecida com especial incidência em África e na Ásia. Neste contexto, Portugal viu-se envolvido na “Guerra do Ultramar”, que se desenvolveu em paralelo com conflitos de características semelha...
For Anosov flows obtained by suspensions of Anosov diffeomor- phisms on surfaces, we show the following type of rigidity result: if a topolog- ical conjugacy between them is differentiable at a point, then the conjugacy has a smooth extension to the suspended 3-manifold. This result generalizes the similar ones of Sullivan and Ferreira-Pinto for 1-dimensional expanding dynamics and also a result of Ferreira-Pin...
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