Computing Market Equilibria with Price Regulations Using Mathematical Programming

One approach to modeling and solving for economic equilibria relies on mathematical programming. These models solve for competitive equilibria. However, policy analysis often requires measuring the impacts of government price regulations that differ from the competitive equilibrium. In this paper we provide a unified framework for computing market equilibrium in mathematical programming models in the presence of government price regulations. The iterative procedure that we use is essentially a Gauss-Seidel algorithmic strategy. The paper concludes by showing how to represent tax/rebate programs, average-cost pricing, and price ceilings.

[1]  H. Scarf.  The Computation of Equilibrium Prices: An Exposition , 1977 .

[2]  Michael D. Intriligator,et al.  Mathematical optimization and economic theory , 1971 .

[3]  William A. Kirk,et al.  Locally nonexpansive mappings in Banach spaces , 1981 .

[4]  J. Shoven.  Applying Fixed Point Algorithms to the Analysis of Tax Policies , 1977 .

[5]  P. Zusman.  Spatial and temporal price and allocation models , 1971 .

[6]  William W. Hogan,et al.  Energy policy models for project independence , 1975, Comput. Oper. Res..

[7]  B. V. Dean,et al.  Studies in Linear and Non-Linear Programming. , 1959 .

[8]  Harvey J. Greenberg,et al.  Modelling the National Energy Plan , 1980 .

[9]  William W. Hogan,et al.  On Convergence of the PIES Algorithm for Computing Equilibria , 1982, Oper. Res..

[10]  Jeremy F. Shapiro,et al.  Steepest Ascent Decomposition Methods for Mathematical Programming/Economic Equilibrium Energy Planning Models , 1976 .

[11]  Mieczyslaw Altman.  Contractors and contractor directions theory and applications : a new approach to solving equations , 1977 .

[12]  J. P. Nelson,et al.  Mathematical Optimization and Economic Theory (Michael D. Intriligator) , 1974 .

[13]  Steven Vajda,et al.  The Theory of Linear Economic Models , 1960 .

[14]  Frederic H. Murphy,et al.  Modeling Natural Gas Regulatory Proposals Using the Project Independence Evaluation System , 1981, Oper. Res..

[15]  O. H. Brownlee,et al.  ACTIVITY ANALYSIS OF PRODUCTION AND ALLOCATION , 1952 .

[16]  W. R. Mann,et al.  Mean value methods in iteration , 1953 .

[17]  David Gale.  The theory of linear economic models , 1960 .