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Perfect Aggregation and Disaggregation of Complementarity Problems

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  • Quirino Paris

Abstract

Perfect aggregation of linear complementarity problems is possible under the notion of constrained consistency. This notion—which also can be interpreted as a disaggregation rule—requires restrictions on the domain of the micro variables to be aggregated. The linear complementarity problem includes symmetric and asymmetric quadratic programming, linear programming, and two-person, nonzero-sum games. Hence, all these mathematical programming structures admit consistent aggregation and disaggregation of their primal and dual variables.

Suggested Citation

  • Quirino Paris, 1980. "Perfect Aggregation and Disaggregation of Complementarity Problems," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 62(4), pages 681-688.
    • Handle: RePEc:oup:ajagec:v:62:y:1980:i:4:p:681-688.
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    File URL: http://hdl.handle.net/10.2307/1239766
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    Cited by:

    1. Pope, Rulon, 1990. "Aggregation, Heterogeneity and Risk: Adding Apples and Oranges, or Apples and Apples," 1990 Quantifying Long Run Agricultural Risks and Evaluating Farmer Responses to Risk Meeting, January 28-31, 1990, Sanibel Island, Florida 271538, Regional Research Projects > S-232: Quantifying Long Run Agricultural Risks and Evaluating Farmer Responses to Risk.
    2. Onal, Hayri & McCarl, Bruce A., 1991. "Aggregation In Mathematical Programming Sector Models And Model Stability," 1991 Annual Meeting, August 4-7, Manhattan, Kansas 271241, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).

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