Local interactions refer to social and economic phenomena where individuals' choices are influenced by the choices of others who are `close' to them socially or geographically. This represents a fairly accurate picture of human experience. Furthermore, since local interactions imply particular...

We model capacity-building investments in a homogeneous product duopoly facing uncertain demand growth. Capacity building is achieved through the addition of production units that are durable and lumpy and whose cost is irreversible. While building their capacity over time, firms compete à la...

We study the development of a duopoly industry -evolution of firm capacities and competitive behavior- in a continuous-time real-options model of capacity investment. Our methodology allows the evaluation of investment options and exercise rules in a strategic setup. In the initial industry...

We study a simple duopoly model of preemption with multiple investments and instantaneous Bertrand competition in a stochastically growing market. Different patterns of equilibria may arise, depending on the importance of the real option effect. If the average growth rate of the market is close...

We study the development of a duopoly in a continuous-time model of capacity investment under no commitment by firms regarding future actions. While capacity units are costly, indivisible, durable, and large relative to market size, early entry cannot secure a first-mover advantage and both...

Parents care about their children, spend resources on educating them and bequeath them some physical and/or human capital. Here we argue that the actions of the parents have an influence, not only on the productive possibilities open to the children (through the capital they inherit) but also on...

Unlike European-type derivative securities, there are no simple analytic valuation formulas for American options, even when the underlying asset price has constant volatility. The early exercise feature considerably complicates the valuation of American contracts. The strategy taken in this...

We consider a pure exchange representative agent economy with perishable and durable commodities in which the durable good provides status as well as services. We examine the effects of the durable's attributes on demands and equilibrium prices. When the attributes are perfect substitutes...

We examine intertemporal asset pricing when short sales are constrained in proportion to the value of an investor's portfolio. All assets' prices exceed every investor's marginal utility of consumption-based valuation of the associated dividends if every investor finds himself constrained in...

One of the early examples of stochastic volatility models is Clark [1973]. He suggested that asset price movements should be tied to the rate at which transactions occur. To accomplish this, he made a distinction between transaction time and calendar time. This framework has hitherto been...