We develop mathematical tools suitable for the construction of conflict models with non-annihilating adversaries. In a set of probability measures we introduce a non-commutative conflict composition and consider the associated dynamical system. We prove that for each couple of non-identical...

Motivated by problems from dynamic economic models, we consider the problem of defining a uniform measure on inverse limit spaces. Let f be a function from a compact metric space X into itself where f is continuous, onto and piecewise one-to-one. Let Y be the inverse limit of (X,f). Then...

The prices of derivatives contracts can be used to estimate ‘risk-neutral’ probability density functions that give an indication of the weight investors place on different future prices of their underlying assets, were they risk-neutral. In the likely case that investors are risk-averse,...

Consider a probability measure μ supported by a regular geodesic ball in a manifold. For any p≥1 we define a stochastic algorithm which converges almost surely to the p-mean ep of μ. Assuming furthermore that the functional to minimize is regular around ep, we prove that a natural...

<span style="font-size: 9.5pt"><span style="font-size: 9.5pt">This paper presents a new stochastic model of asset pricing, based on agents with heterogeneous beliefs. Forecasting rules of all agents are characterized by a stochastic term that</span><span style="font-size: 9.5pt">works as an agent-based time dependent weight of the conditional expectation of the fundamental. Since we consider...</span></span>

Recently, some have wondered whether a fiscal stimulus plan could reduce the government's budget deficit. Many also worry that fiscal austerity plans will only bring higher deficits. Issues of this kind involve endogenous changes in tax revenues that occur when output, real wages, and other...