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Cooperative production under diminishing marginal returns: Interpreting fixed-path methods

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Author Info
Justin Leroux () (IEA, HEC Montréal)

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Abstract

Fixed-path methods (FPMs) were introduced to manage situations where several individuals jointly operate a single technology (see [4]). In the production context, they consist in allocating marginal increments of output according to a proportions vector which changes along an arbitrary path. While very appealing from an incentives viewpoint under diminishing marginal returns, the asymmetry of these methods lacks solid economic interpretation. We provide such an interpretation by considering a situation where the technology to be shared results from the aggregation of private production processes. We propose a group-strategyproof mechanism under which no single agent wishes to secede from the partnership: the inverse marginal product proportions mechanism. It is the only FPM satisfying autarkic individual rationality; its path is uniquely determined by the technological contributions of the agents.

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Publisher Info
Paper provided by HEC Montréal, Institut d'économie appliquée in its series Cahiers de recherche with number 06-10.

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Length: 28 pages
Date of creation: Oct 2006
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Handle: RePEc:iea:carech:0610

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Postal: Institut d'économie appliquée HEC Montréal 3000, Chemin de la Côte-Sainte-Catherine Montréal, Québec H3T 2A7
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Related research
Keywords: Autarky; incentive compatibility; cooperative production; surplus sharing; serial rule; path methods.;

Other versions of this item:

Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
D23 - Microeconomics - - Production and Organizations - - - Organizational Behavior; Transaction Costs; Property Rights
D62 - Microeconomics - - Welfare Economics - - - Externalities
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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References listed on IDEAS
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  1. Weitzman, Martin L., 1974. "Free access vs private ownership as alternative systems for managing common property," Journal of Economic Theory, Elsevier, vol. 8(2), pages 225-234, June. [Downloadable!] (restricted)
  2. Friedman, Eric J., 2002. "Strategic properties of heterogeneous serial cost sharing," Mathematical Social Sciences, Elsevier, vol. 44(2), pages 145-154, November. [Downloadable!] (restricted)
  3. Sprumont, Yves, 1998. "Ordinal Cost Sharing," Journal of Economic Theory, Elsevier, vol. 81(1), pages 126-162, July. [Downloadable!] (restricted)
  4. Moulin, Herve & Shenker, Scott, 1992. "Serial Cost Sharing," Econometrica, Econometric Society, vol. 60(5), pages 1009-37, September. [Downloadable!] (restricted)
  5. Eric Friedman, 2004. "Strong monotonicity in surplus sharing," Economic Theory, Springer, vol. 23(3), pages 643-658, March. [Downloadable!] (restricted)
  6. Shin, Sungwhee & Suh, Sang-Chul, 1997. "Double Implementation by a Simple Game Form in the Commons Problem," Journal of Economic Theory, Elsevier, vol. 77(1), pages 205-213, November. [Downloadable!] (restricted)
  7. Leroux, Justin, 2004. "Strategy-proofness and efficiency are incompatible in production economies," Economics Letters, Elsevier, vol. 85(3), pages 335-340, December. [Downloadable!] (restricted)
  8. Dasgupta, Partha S & Hammond, Peter J & Maskin, Eric S, 1979. "The Implementation of Social Choice Rules: Some General Results on Incentive Compatibility," Review of Economic Studies, Blackwell Publishing, vol. 46(2), pages 185-216, April. [Downloadable!] (restricted)
  9. Saijo, Tatsuyoshi, 1991. "Incentive compatibility and individual rationality in public good economies," Journal of Economic Theory, Elsevier, vol. 55(1), pages 203-212, October. [Downloadable!] (restricted)
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