Characterization of self-selective social choice functions on the tops-only domain

Semih Koray and Bulent Unel ()

Social Choice and Welfare, 2003, vol. 20, issue 3, 495-507

Abstract: Self-selectivity is a new kind of consistency pertaining to social choice rules. It deals with the problem of whether a social choice rule selects itself from among other rival such rules when a society is also to choose the choice rule that it will employ in making its choice from a given set of alternatives. Koray [3] shows that a neutral and unanimous social choice function is universally self-selective if and only if it is dictatorial. In this paper, we confine the available social choice functions to the tops-only domain and examine whether such restriction allow us to escape the dictatoriality result. A neutral, unanimous, and tops-only social choice function, however, turns out to be self-selective relative to the tops-only domain if and only if it is top-monotonic, and thus again dictatorial. Copyright Springer-Verlag Berlin Heidelberg 2003

Date: 2003
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DOI: 10.1007/s003550200195

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