The Short-Run Approach to Long-Run Equilibrium in Competitive Markets

Beschreibung

The authors present a new formal framework for finding the long-run competitive market equilibrium through short-run equilibria by exploiting the operating policies and plant valuations. This “short-run approach” develops ideas of Boiteux and Koopmans. Applied to the peak-load pricing of electricity generated by thermal, hydro and pumped-storage plants, it gives a sound and practical method of valuing the fixed assets—in this case, the river flows and the geological sites suitable for reservoirs. Its main mathematical basis is the producer’s short-run profit maximization programme and its dual; their solutions have relatively simple forms that can greatly ease the fixed-point problem of solving for the general equilibrium. Since the optimal values (profit and cost functions) are usually nondifferentiable—this is so when there are joint costs of production such as capacity constraints—nonsmooth calculus is employed to resolve long-standing discrepancies between textbook theory andindustrial reality by giving subdifferential extensions of basic results of microeconomics, including the Wong-Viner Envelope Theorem.
The authors present a new formal framework for finding the long-run competitive market equilibrium through short-run equilibria by exploiting the operating policies and plant valuations. This “short-run approach” develops ideas of Boiteux and Koopmans. Applied to the peak-load pricing of electricity generated by thermal, hydro and pumped-storage plants, it gives a sound and practical method of valuing the fixed assets—in this case, the river flows and the geological sites suitable for reservoirs. Its main mathematical basis is the producer’s short-run profit maximization programme and its dual; their solutions have relatively simple forms that can greatly ease the fixed-point problem of solving for the general equilibrium. Since the optimal values (profit and cost functions) are usually nondifferentiable—this is so when there are joint costs of production such as capacity constraints—nonsmooth calculus is employed to resolve long-standing discrepancies between textbook theory andindustrial reality by giving subdifferential extensions of basic results of microeconomics, including the Wong-Viner Envelope Theorem.
The only substantial development of Boiteux's idea of the short-run approach to long-run market equilibrium Comprehensive taxonomy of seventeen marginalist and programming characterizations of producer optimum Convex programming used to develop Koopmans's shadow pricing of hydro resources and the Wong-Viner Envelope Theorem Application to time-of-use pricing of electricity generated by thermal, hydro and pumped-storage plants

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Anthony Horsley

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Competitive equilibrium Shadow pricing Plant evaluation Wong-Viner Envelope Theorem Public utility pricing

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