The timing of capacity expansion investments in oligopoly under demand uncertainty

Since a flexibility value emerges in waiting to expand capacity, the impact of demand uncertainty in an oligopolistic industry leads to capacity expansion timing. The creation of growth opportunities is then the outcome of expanding capacity at optimal times. However, in our model different capacity size competitors interact not affecting each others, because assessing the impact of demand uncertainty on capacity expansion projects takes them to set up independently their optimal capacity expansion timing schedules. In equilibrium no firm expands capacity more often than any other. Under demand uncertainty simultaneity in capacity expansions is the only possible Markov Perfect Equilibrium

Excess Capacity, Monopolistic Competition, and International Transmission of Monetary Disturbances

A stochastic two-country neoclassical rational expectations model with sticky prices -- optimally set by monopolistically competitive firms -- and possible excess capacity is developed to examine international spillover effects on output of monetary disturbances. The Mundell-Fleming model predicts that monetary expansion at home leads to recession abroad. In contrast, our main result is that spillover effects of monetary policy may be either positive or negative, depending upon whether the intertemporal elasticity of substitution in consumption exceeds the intratemporal elasticity of substitution. The model in addition is used to determine nominal and real interest rates, exchange rates, and other asset prices.

Stochastic equilibrium models for generation capacity expansion

Capacity expansion models in the power sector were among the first applications of operations research to the industry. The models lost some of their appeal at the inception of restructuring even though they still offer a lot of possibilities and are in many respect irreplaceable provided they are adapted to the new environment. We introduce stochastic equilibrium versions of these models that we believe provide a relevant context for looking at the current very risky market where the power industry invests and operates. We then take up different questions raised by the new environment. Some are due to developments of the industry like demand side management: an optimization framework has difficulties accommodating them but the more general equilibrium paradigm offers additional possibilities. We then look at the insertion of risk related investment practices that developed with the new environment and may not be easy to accommodate in an optimization context. Specifically we consider the use of plant specific discount rates that we derive by including stochastic discount rates in the equilibrium model. Linear discount factors only price systematic risk. We therefore complete the discussion by inserting different risk functions (for different agents) in order to account for additional unpriced idiosyncratic risk in investments. These different models can be cast in a single mathematical representation but they do not have the same mathematical properties. We illustrate the impact of these phenomena on a small but realistic example.capacity adequacy, risk functions, stochastic equilibrium models, stochastic discount factors

Equilibrium Predictions in Wholesale Electricity Markets

We review supply function equilibrium models and their predictions on market outcomes in the wholesale electricity auctions. We discuss how observable market characteristics such as capacity constraints, number of power suppliers, load distribution and auction format affect the behavior of suppliers and performance of the market. We specifically focus on the possible market power exerted by pivotal suppliers and the comparison between discriminatory and uniform-price auctions. We also describe capacity investment behavior of electricity producers in the restructured industry.Electricity markets; Supply function equilibrium; Markov perfect equilibrium; electricity auctions; pivotal suppliers; capacity investment.

Gradual Network Expansion and Universal Service Obligations

Universal service obligations are usually not competitively neutral as they modify the wayfirms compete in the market. In this paper, we consider a continuum of local markets in a dynamic setting with a stochastically growing demand. The incumbent must serve all markets (ubiquity) possibly at a uniform price and an entrant decides on its market coverage before firms compete in prices. Connecting a market involves a sunk cost. We show that the imposition of a uniform price constraint modifies the timing of entry: for low connection cost markets, entry occurs earlier while for high connection cost markets, entry occurs later.

Investment in Electricity Markets with Asymmetric Technologies

We study competition between hydro and thermal electricity generators under de- mand uncertainty. Producers compete in quantities and each is constrained: the ther- mal generator by capacity and the hydro generator by water availability. We analyze a two-period game emphasizing the incentives for capacity investments by the ther- mal generator. We characterize both Markov perfect and open-loop equilibria. In the Markov perfect equilibrium, investment is discontinuous in initial capacity and higher than it is in the open-loop equilibrium. However, since there are two distortions in the model, equilibrium investment can be either higher or lower than the ecient investment.Electricity markets; Dynamic game; Duopoly; Capacity investment.

Uncovering some causal relationships between productivity growth and the structure of economic fluctuations: a tentative survey

This paper discusses recent theoretical and empirical work on the interactions between growth and business cycles. One may distinguish two very different types of approaches to the problem of the influence of macroeconomic fluctuations on long-run growth. In the first type of approach, which relies on learning by doing mechanisms or aggregate demand externalities, productivity growth and direct production activities are complements. An expansion therefore has a positive long-run effect on total factor productivity. In the second type of approach, hereafter labeled 'opportunity cost or 'learning-by-doing', productivity growth and production activities are substitutes. The opportunity cost of some productivity improving activities falls in a recession, which has a long-run positive impact on output. This does not mean, however, that recessions should on average last longer or be more frequent, since the expectation of future recessions reduces today's incentives for productivity growth. We also briefly discuss some empirical work which is mildly supportive of the opportunity cost approach, while showing that it can be reconciled with the observed pro-cyclical behavior of measured total factor productivity. We also describe some theoretical work on the effects of growth on business cycles

Investment Dynamics: Good News Principle

We study a dynamic Cournot game with capacity accumulation under demand uncertainty, in which the investment is perfectly divisible, irreversible, and productive with a lag. We characterize equilibrium investments under closed-loop and S-adapted open-loop information structures. Contrary to what is established usually in the dynamic games literature with deterministic demand, we find that the firms may invest at a higher level in the open-loop equilibrium (which in some cases coincides with Markov perfect equilibrium) than in the closed-loop Nash equilibrium. The rankings of the investment levels obtained in the two equilibria actually depend on the initial capacities and on the degree of asymmetry between the firms. We also observe, contrary to the bad news principle of investment, that firms may invest more as demand volatility increases and they invest as if high demand (i.e., good news) will unfold in the future.Capacity Investment, Dynamic Games, S-adapted Open-Loop Equilibrium, Closed-loop Equilibrium.

Lumpy Investment in Regulated Natural Gas Pipelines: An Application of the Theory of the Second Best

We address investment in regulated natural gas pipelines when investment is lumpy and the demand for gas is stochastic. This is a problem that can be solved in theory as a dynamic program, but a practical solution depends on functions and parameters that are either subjective or cannot be estimated. We then reformulate the problem from the standpoint of consumers that face incomplete markets. It is shown that for reasonable parameter values consumers prefer to pay for excess capacity rather than bear the risk of congestion. These strategies can be implemented with reasonably straightforward policies. Since the demand for gas is very inelastic, the welfare losses associated from small deviations from a first best optimum are minimal. This implies that the gas pipeline system can be regulated with a relatively simple set of transparent rules without any significant loss of welfare.Transmission investment, Natural-gas regulation, Congestion management, Gas pipelines, Second-best theory