The aim of the paper is to analyze the impact of heterogeneous beliefs in an otherwise standard competitive complete market economy. The construction of a consensus probability belief, as well as a consensus consumer, are shown to be valid modulo an aggregation bias, which takes the form of a...

In this paper we study the stability (in the L <Superscript> p </Superscript> as well as for the almost sure convergence sense) of the optimal investment-consumption strategy with respect to the choice of the utility function. Copyright Springer-Verlag Berlin/Heidelberg 2004

This paper studies foundational issues in securities markets models with fixed costs of trading, i.e. transaction costs that are bounded regardless of the transaction size, such as : fixed brokerage fees, investment taxes, operational and processing costs, or opportunity costs. We show that the...

In this paper, we start by considering market models with fixed costs; in such a context, we characterize the absence of arbitrage opportunity and we provide pricing rules. We then apply these results to extend some classical interest rate and option pricing models. In particular, we prove that...

Kimball (1990) established that income risk increases the marginal propensity to consume if and only if absolute prudence is decreasing. We characterize decreasing and increasing multivariate prudence and we show that a multidimensional risk increases the marginal propensity to consume if and...

In this article we analyze the risk attitude of a group of heterogeneous agents and we develop a theory of comparative collective risk tolerance. In particular, we characterize how shifts in the distribution of individual levels of risk tolerance affect the group’s attitude towards risk. In a...

We consider a model in which all investment opportunities are described in terms of cash flows. We don't assume that there is a numéraire, the time horizon is not supposed to be finite, the investment opportunities are not specifically related to the buying and selling of securities on a...