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Table of Contents
Preface; Contents; List of Figures; 1 Introduction; 2 Peak-Load Pricing with Cross-Price Independent Demands: A Simple Illustration; 2.1 Short-Run Approach to Simplest Peak-Load Pricing Problem; 2.2 Reinterpreting Cost Recovery as a Valuation Condition; 2.3 Equilibrium Prices for the Single-Consumer Case; 3 Characterizations of Long-Run Producer Optimum; 3.1 Cost and Profit as Values of Programmes with QuantityDecisions; 3.2 Split SRP Optimization: A Primal-Dual System for the Short-Run Approach; 3.3 Duality: Cost and Profit as Values of Programmes with Shadow-Price Decisions
3.4 SRP and SRC Optimization Systems3.5 SRC/P Partial Differential System for the Short-Run Approach; 3.6 Other Differential Systems; 3.7 Transformations of Differential Systems by Using SSL or PIR; 3.8 Summary of Systems Characterizing Long-Run Producer Optimum; 3.9 Extended Wong-Viner Theorem and Other Transcriptions from SRP to LRC; 3.10 Derivation of Dual Programmes; 3.11 Shephard-Hotelling Lemmas and Their Dual Counterparts; 3.12 Duality for Linear Programmes with Nonstandard Parameters in Constraints; 4 Short-Run Profit Approach to Long-Run Market Equilibrium
4.1 Outline of the Short-Run Approach4.2 Detailed Framework for Short-Run Profit Approach; 5 Short-Run Approach to Electricity Pricing in Continuous Time; 5.1 Technologies for Electricity Generation and Energy Storage; 5.2 Operation and Valuation of Electric Power Plants; 5.3 Long-Run Equilibrium with Pumped Storage or Hydro Generation of Electricity; 6 Existence of Optimal Quantities and Shadow Prices with No Duality Gap; 6.1 Preclusion of Duality Gaps by Semicontinuity of Optimal Values; 6.2 Semicontinuity of Cost and Profit in Quantity Variables Over Dual Banach Lattices
6.3 Solubility of Cost and Profit Programmes6.4 Continuity of Profit and Cost in Quantities and Solubility of Shadow-Pricing Programmes; 7 Production Techniques with Conditionally Fixed Coefficients; 7.1 Producer Optimum When Technical Coefficients Are Conditionally Fixed; 7.2 Derivation of Dual Programmes and Kuhn-Tucker Conditions; 7.3 Verification of Production Set Assumptions; 7.4 Existence of Optimal Operation and Plant Valuation and Their Equality to Marginal Values; 7.5 Linear Programming for Techniques with Conditionally Fixed Coefficients; 8 Conclusions
A Example of Duality Gap Between SRP and FIV ProgrammesB Convex Conjugacy and Subdifferential Calculus; B.1 The semicontinuous Envelope; B.2 The Convex Conjugate Function; B.3 Subgradients and Subdifferentiability; B.4 Continuity of Convex Functions; B.5 Concave Functions and Supergradients; B.6 Subgradients of Conjugates; B.7 Subgradients of Partial Conjugates; B.8 Complementability of Partial Subgradients to Joint Ones; C Notation List; References
3.4 SRP and SRC Optimization Systems3.5 SRC/P Partial Differential System for the Short-Run Approach; 3.6 Other Differential Systems; 3.7 Transformations of Differential Systems by Using SSL or PIR; 3.8 Summary of Systems Characterizing Long-Run Producer Optimum; 3.9 Extended Wong-Viner Theorem and Other Transcriptions from SRP to LRC; 3.10 Derivation of Dual Programmes; 3.11 Shephard-Hotelling Lemmas and Their Dual Counterparts; 3.12 Duality for Linear Programmes with Nonstandard Parameters in Constraints; 4 Short-Run Profit Approach to Long-Run Market Equilibrium
4.1 Outline of the Short-Run Approach4.2 Detailed Framework for Short-Run Profit Approach; 5 Short-Run Approach to Electricity Pricing in Continuous Time; 5.1 Technologies for Electricity Generation and Energy Storage; 5.2 Operation and Valuation of Electric Power Plants; 5.3 Long-Run Equilibrium with Pumped Storage or Hydro Generation of Electricity; 6 Existence of Optimal Quantities and Shadow Prices with No Duality Gap; 6.1 Preclusion of Duality Gaps by Semicontinuity of Optimal Values; 6.2 Semicontinuity of Cost and Profit in Quantity Variables Over Dual Banach Lattices
6.3 Solubility of Cost and Profit Programmes6.4 Continuity of Profit and Cost in Quantities and Solubility of Shadow-Pricing Programmes; 7 Production Techniques with Conditionally Fixed Coefficients; 7.1 Producer Optimum When Technical Coefficients Are Conditionally Fixed; 7.2 Derivation of Dual Programmes and Kuhn-Tucker Conditions; 7.3 Verification of Production Set Assumptions; 7.4 Existence of Optimal Operation and Plant Valuation and Their Equality to Marginal Values; 7.5 Linear Programming for Techniques with Conditionally Fixed Coefficients; 8 Conclusions
A Example of Duality Gap Between SRP and FIV ProgrammesB Convex Conjugacy and Subdifferential Calculus; B.1 The semicontinuous Envelope; B.2 The Convex Conjugate Function; B.3 Subgradients and Subdifferentiability; B.4 Continuity of Convex Functions; B.5 Concave Functions and Supergradients; B.6 Subgradients of Conjugates; B.7 Subgradients of Partial Conjugates; B.8 Complementability of Partial Subgradients to Joint Ones; C Notation List; References