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A Note on Affine Aggregation

Author

Listed:
  • DE MEYER, Bernard

    (CORE, Université catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium)

  • MONGIN , Philippe

    (CORE, Université catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium)

Abstract

If a vector-valued function has convex range and one of its components is related to the others by a Pareto-like condition, that component must be affine w.r.t. the others; sign restrictions on the coefficients follow from suitably strengthening the unanimity condition. The theorem is applied to social choice and decision theories.

Suggested Citation

  • DE MEYER, Bernard & MONGIN , Philippe, 1994. "A Note on Affine Aggregation," LIDAM Discussion Papers CORE 1994014, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:1994014
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    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp1994.html
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    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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