We study the development of an industry-evolution of capacity, production and prices- in a continuous-time real-options model under various assumptions on competition. Investment takes the form of sequential acquisition of indivisible units of capacity. As benchmarks, we determine the optimal...

In the context of capital accumulation games this paper proposes two concepts that describe the interactions between agents and give a counterpart, in a symmetric infinite horizon framework, of the well known Fudenberg and Tirole's Taxinomy concerning investment strategies in two-stage games.

Based on a Hotelling-type model, this paper analyzes a differential game where two firms engage in quality-enhancing research and development (R&D). The analysis is formulated in terms of open-loop and feedback solutions. We find that the open-loop stationary levels of R&D and quality are...

We present a duopoly model of strategic capital accumulation in continuous time with uncertainty, such that investment takes the form of singular control. Spot competition is of Cournot type. For this model there exists a parameterized and Pareto-rankable family of Markov perfect equiblibria in...

Many economic problems can be formulated as dynamic games in which strategically interacting agents choose actions that determine the current and future levels of a single capital stock. We study necessary conditions that allow us to characterize Markov perfect Nash equilibria (MPNE) for these...

We study a stochastic dynamic game of process innovation in which firms can initiate and terminate R&D efforts and production at different times. We discern the impact of knowledge spillovers on the investments in existing markets, as well as on the likely structure of newly forming markets, for...

In this paper we use a differential game analysis to study the dynamic strategic interaction between a criminal gang extorting money from local shop- owners and the police force. In particular, we are interested in characterizing which factors are important in determining whether the capital...

Many economic problems can be formulated as dynamic games in which strategically interacting agents choose actions that determine the current and future levels of a single capital stock. We study necessary conditions that allow us to characterize Markov perfect Nash equilibria (MPNE) for these...

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...

In a real option model, we show that the standard analysis of vertical relationships transposes directly to investment timing. Thus, when a firm undertaking a project requires an outside supplier (e.g., an equipment manufacturer) to provide it with a discrete input to serve a growing but...