9.1 The textbook discussion of monopsonistic behavior begins with stat- ing the system of inverse input supply functions, p, =g+ Gs, where G is a symmetric positive semidefinite matrix. Assuming that a pure monopsonist is a price taker on the market for final commodities, with commodity prices p = c, and that he operates a single plant using a linear technology A, (a) Set up and justify the corresponding primal problem. (b) Derive the dual problem and explain its meaning as a whole and of each component. (c) In particular, show the entrepreneur's profit and give an appropriate economic explanation of the dual objective function.

Principles of Economics 2e
2nd Edition
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter14: Labor Markets And Income
Section: Chapter Questions
Problem 8SCQ: Table 14.13 shows information from the supply curve for labor for a monopsonist, that is, the wage...
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9.1 The textbook discussion of monopsonistic behavior begins with stat-
ing the system of inverse input supply functions, ps = g+ Gs, where
G is a symmetric positive semidefinite matrix. Assuming that a pure
monopsonist is a price taker on the market for final commodities, with
commodity prices p = c, and that he operates a single plant using a
linear technology A,
(a) Set up and justify the corresponding primal problem.
(b) Derive the dual problem and explain its meaning as a whole and of
each component.
(c) In particular, show the entrepreneur's profit and give an appropriate
economic explanation of the dual objective function.
(d) Cast the problem as a linear complementarity problem.
Transcribed Image Text:Exercises 9.1 The textbook discussion of monopsonistic behavior begins with stat- ing the system of inverse input supply functions, ps = g+ Gs, where G is a symmetric positive semidefinite matrix. Assuming that a pure monopsonist is a price taker on the market for final commodities, with commodity prices p = c, and that he operates a single plant using a linear technology A, (a) Set up and justify the corresponding primal problem. (b) Derive the dual problem and explain its meaning as a whole and of each component. (c) In particular, show the entrepreneur's profit and give an appropriate economic explanation of the dual objective function. (d) Cast the problem as a linear complementarity problem.
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