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Invariance axioms for preferences: applications to social choice theory

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  • Juan Candeal

Abstract

I investigate the role played by the combination of two invariance axioms for preferences in utility theory; namely, those of zero-independence and scale-independence, respectively. I provide a characterization of the preference relations on $${\mathbb{R}^{n}}$$ that satisfy these two axioms as those which are either trivial, or what I call a two-serial total preorder on $${\mathbb{R}^{n}}$$ . This result is then applied in social choice theory to characterize those social welfare functions that satisfy IIA and PI. Other characterizations involving the usual Pareto concepts are also provided. Copyright Springer-Verlag 2013

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  • Juan Candeal, 2013. "Invariance axioms for preferences: applications to social choice theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 453-471, September.
    • Handle: RePEc:spr:sochwe:v:41:y:2013:i:3:p:453-471
    DOI: 10.1007/s00355-012-0692-0
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    References listed on IDEAS

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    Cited by:

    1. Juan Candeal, 2015. "Social evaluation functionals: a gateway to continuity in social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(2), pages 369-388, February.
    2. Tapan Mitra & Kemal Ozbek, 2021. "Ranking by weighted sum," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(2), pages 511-532, September.

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