In this paper we solve a stochastic dynamic programming problem for the solution to a dynamic game in which the players select a mean level of control. The state transition dynamics are a function of the current state of the system and a multiplicative noise factor on the control variables of...

The Schelling Model of Spatial Segregation is a fundamental consumer choice model in the fields of computational and urban economics. In our paper, we unite the research from these two fields to examine if the housing preferences of a heterogeneous population of homeowners lead to Schelling's...

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 study we combine the dynamic programming method with the projection methods for solving stochastic growth models. One of the inconveniences of Judd's projection technique is that finding a good initial guess is not that easy or it is time costly especially when the dimensionality of the...

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...

In this paper we use a simple model with a single Cobb–Douglas firm and a consumer with a CRRA utility function to show the difference between the equity premia in the production-based Brock model and the consumption-based Lucas model. With this simple example we show that the equity premium...