Programming in Agricultural Economics

This paper discusses a new class of problem related to mathematical programming but with two separate decision makers in hierarchical relationship, each with his own objective function and control over distinct but interacting variables. The relationship of this problem to agricultural (energy and environmental) policy problems is developed, together with the relationship of this new problem structure to mathematical programming, game theory, control theory, and principal agent theory. Suggested computational approaches are reviewed, along with the solution to two illustrative examples of the use of the technique.

[1]  J. Cruz,et al.  On the Stackelberg strategy in nonzero-sum games , 1973 .

[2]  Bengt Holmstrom,et al.  Moral Hazard and Observability , 1979 .

[3]  Bruce A. McCarl,et al.  Price Endogenous Mathematical Programming As a Tool for Sector Analysis , 1980 .

[4]  James E. Falk,et al.  A linear max—min problem , 1973, Math. Program..

[5]  Jerome Bracken,et al.  Mathematical Programs with Optimization Problems in the Constraints , 1973, Oper. Res..

[6]  José Fortuny-Amat,et al.  A Representation and Economic Interpretation of a Two-Level Programming Problem , 1981 .

[7]  Roger D. Norton,et al.  Prices and Incomes in Linear Programming Models , 1975 .

[8]  R. L. Keeney,et al.  Decisions with Multiple Objectives: Preferences and Value Trade-Offs , 1977, IEEE Transactions on Systems, Man, and Cybernetics.

[9]  Cleve E. Willis,et al.  A Comparison of Generating Techniques and Goal Programming for Public Investment, Multiple Objective Decision Making , 1980 .

[10]  Michael Boehlje,et al.  Use of Linear Programming in Capital Budgeting With Multiple Goals: Reply , 1974 .

[11]  Mark Karwan,et al.  Multilevel optimization: A mathematical programming perspective , 1980, 1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[12]  J. Kornai,et al.  Two-Level Planning , 1965 .

[13]  Wilfred Candler,et al.  A linear two-level programming problem, , 1982, Comput. Oper. Res..

[14]  G. Rausser Active Learning, Control Theory, and Agricultural Policy , 1978 .