9.6 A price taker on the final commodity market faces prices p = c. On the input side he behaves as a perfectly discriminating monopsonist on two distinct and separated markets. The input supply functions on each market are s₁ = b₁ + E₁y₁ and s2 = b₂ + E2y2, respectively, where the E; matrices are symmetric positive semidefinite, i = 1, 2. This entrepreneur uses a linear technology A to produce his output. (a) Formulate the appropriate primal specification giving a meaningful interpretation to each component. (b) Derive the dual problem and interpret each component. (c) Restate the problem in an LCP structure.

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9.6 A price taker on the final commodity market faces prices p= c. On
the input side he behaves as a perfectly discriminating monopsonist
on two distinct and separated markets. The input supply functions
on each market are s = b1 + E1yı and s2 = b2 + E2y2, respectively,
where the E; matrices are symmetric positive semidefinite, i = 1, 2.
This entrepreneur uses a linear technology A to produce his output.
(a) Formulate the appropriate primal specification giving a meaningful
interpretation to each component.
(b) Derive the dual problem and interpret each component.
(c) Restate the problem in an LCP structure.
Transcribed Image Text:9.6 A price taker on the final commodity market faces prices p= c. On the input side he behaves as a perfectly discriminating monopsonist on two distinct and separated markets. The input supply functions on each market are s = b1 + E1yı and s2 = b2 + E2y2, respectively, where the E; matrices are symmetric positive semidefinite, i = 1, 2. This entrepreneur uses a linear technology A to produce his output. (a) Formulate the appropriate primal specification giving a meaningful interpretation to each component. (b) Derive the dual problem and interpret each component. (c) Restate the problem in an LCP structure.
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