Econometrica: Nov 1973, Volume 41, Issue 6

Summation Social Choice Functions<1183:SSCF>2.0.CO;2-C
p. 1183-1196

Peter C. Fishburn

A summation social choice function is a social choice function whose choice sets are determinable from maximum sums of utilities that preserve individual preference. Assuming the set of alternatives is finite and individual preferences are irreflexive and transitive, a unanimity-type condition is shown to be necessary and sufficient for a social choice function to be a summation social choice function. The effects of conditions of voter independence, anonymity, and neutrality are noted.

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