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Indeterminate Output Allocations in Collusive Equilibria and Multi-plant Firms

Author

Listed:
  • Thomas Mitchell

    (S. Illinois Univ. at Carbondale)

Abstract

If n colluding oligopolists all have the cost function C(q_i) = c * q_i, then it will not be possible to uniquely allocate among the firms the monopoly output that maximizes their joint profit. Similarly, if all plants of an n-plant firm have the cost function C(q_i) = c * q_i, then it will not be possible to uniquely allocate the firm's optimal output among the n plants. This paper identifies the necessary and sufficient conditions for such "allocative indeterminacies" to occur (i.e., the conditions to be avoided).

Suggested Citation

  • Thomas Mitchell, 1995. "Indeterminate Output Allocations in Collusive Equilibria and Multi-plant Firms," Microeconomics 9507001, EconWPA.
  • Handle: RePEc:wpa:wuwpmi:9507001
    Note: Type of Document - LaTeX (2.09); prepared on IBM PC; to print on HP LaserJet III (1Mb); pages: 9; figures: none. Only file FTP'ed is the TeX input file. With your Web browser, visit SIUC's Working Paper
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    More about this item

    Keywords

    production theory; functional forms; ind. org.;

    JEL classification:

    • D1 - Microeconomics - - Household Behavior
    • D2 - Microeconomics - - Production and Organizations
    • D3 - Microeconomics - - Distribution
    • D4 - Microeconomics - - Market Structure, Pricing, and Design

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