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Duality theorems summarising some unambiguous qualitative comparative static results for processing cooperatives - The restricted profit function applied

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  • Senhaji, Arvid
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    Abstract

    Cooperatives can broadly be divided into processing and marketing cooperatives on the one hand, and purchasing and supplying cooperatives on the other. In the early economic cooperative literature it is suggested that a processing cooperative may pursue either one of the following four objectives: a) Maximisation of the net average revenue product, b) Maximisation of the dividend, c) Maximisation of the processing cooperative’s profit, and d) Maximisation of members’ producer surplus plus the cooperative’s profit. The corresponding objectives for purchasing and supplying cooperatives are: e) Minimisation of the purchasing price, f) Maximisation of the dividend, g) Maximisation of the purchasing cooperative’s profit, and h) Maximisation of members’ consumer surplus plus the cooperative’s profit. This article analyses processing cooperative behaviour within a duality framework based on the restricted profit function. The five derived duality theorems concisely summarise the unambiguous qualitative comparative static results for a cooperative’s ordinary or relative choice functions, depending on which objective the daily manager is assumed to pursue.

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    Bibliographic Info

    Paper provided by European Association of Agricultural Economists in its series 2008 International Congress, August 26-29, 2008, Ghent, Belgium with number 44374.

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    Date of creation: 2008
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    Handle: RePEc:ags:eaae08:44374

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    Keywords: Processing cooperative behaviour; Duality theory; Unambiguous comparative static results; Agricultural and Food Policy;

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    1. G. E. Boyle, 1998. "A Duality Approach to Testing the Economic Behaviour of Dairy-Marketing Co-operatives: The Case of Ireland," Economics, Finance and Accounting Department Working Paper Series n800798, Department of Economics, Finance and Accounting, National University of Ireland - Maynooth.
    2. Sexton, Richard J. & Wilson, Brooks M. & Wann, Joyce J., 1989. "Some Tests Of The Economic Theory Of Cooperatives: Methodology And Application To Cotton Ginning," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 14(01), July.
    3. Chambers,Robert G. & Quiggin,John, 2000. "Uncertainty, Production, Choice, and Agency," Cambridge Books, Cambridge University Press, number 9780521785235, April.
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