Long-term observers of urban communities know that the housing quality distributions of communities and the changes of these distributions over time encompass not one but a variety of patterns. The equilibrium outcome derived from the housing market literature explains one pattern of change....

In this paper we extend the deterministic model of Dechert and Brock (forthcoming) to stochastic models. First, we consider the lake game in a Brock and Mirman framework and show what happens to the Skiba point when there is uncertainty in the model. Second, we develop the model as an optimally...

We study the consumption based asset pricing model due to Lucas (1978). The exogenous endowment sequence is modeled as a linear stochastic process driven by stable shocks in an otherwise standard framework. The Gaussian process emerges as a special case. We derive exact analytical solutions for...

Generalized Lotka-Volterra (GLV) models extending the (70 year old) logistic equation to stochastic systems consisting of a multitude of competing auto-catalytic components lead to power distribution laws of the (100 year old) Pareto-Zipf type. In particular, when applied to economic systems,...

This paper focuses on the estimation of mutual fund styles by return-based style analysis. Usually, the investment style is assumed to be either constant through time, or time variation is implicitly accounted for by using rolling regressions. The former assumption is often contradicted by data...

We demonstrate that achieving sensible convergence of prices to equilibrium is facilitated by market maker risk. \\ We introduce several criteria for price formation rules, and provide an example that satisfies all of them. The risk aversion of the market maker inevitably leads to price...

This paper studies multilateral negotiations among n players in an environment where there are externalities and contracts forming coalitions can be written and renegotiated. The negotiation process is modeled as sequential game of offers and counteroffers, and the study focus on the stationary...

This paper uses an agent based financial market calibrated to aggregate data. It shows how these markets are able to magnify the volatility of fundamentals, and to create time series with persistent volatility. The mechanism for this persistence is explored using several of the time series...

Anderson & Moore describe a powerful method for solving linear saddle point models. The algorithm has proved useful in a wide array of applications including analyzing linear perfect foresight models, providing initial solutions and asymptotic constraints for nonlinear models. However, many...

This paper reports on the use of multi-agent games to model financial markets. Our research employs multi-agent games to address three questions which are of great practical importance in quantitative finance: how profit opportunities may be identified, large price movements predicted, and...