We examine asset prices in a representative-agent model of general equilibrium. Assuming only that individuals are risk averse, we determine conditions on the changes in asset risk that are both necessary and sufficientfor the asset price to fall. We show that these conditions neither imply, nor...

This paper surveys recent advances in the application of random dynamical systems theory in economics. It illustrates the usefulness of this framework for modeling and analysis of economic phenomena with stochastic components, mainly focusing on stochastic dynamic models in economic growth. The...

A crucial challenge for economists is figuring out how people interpret the world and form expectations that will likely influence their economic activity. Inflation, asset prices, exchange rates, investment, and consumption are just some of the economic variables that are largely explained by...

This article provides a theory of interfirm partial ownership. We consider a setting in which an upstream firm can make two alternative types of investment: either specific investment that only a particular downstream firm can use or general investment that any downstream firm is capable of...

This paper analyzes the stochastic convergence in per capita income levels among the current G-7 over the period 1900-89. We show that, in the presence of possible structural breaks, the strong condition of stationary pair-wise differences between per capita GDP holds in more cases than...

This article studies the replicator dynamics in the presence of shocks. I show that under these dynamics, strategies that do not survive the iterated deletion of strictly dominated strategies are eliminated in the long run, even in the presence of nonvanishing perturbations. I also give an...

Power-law distributions, i.e. Lévy flights have been observed in various economical, biological, and physical systems in high-frequency regime. These distributions can be successfully explained via gradually truncated Lévy flight (GTLF). In general, these systems converge to a Gaussian...