Econometrica: Nov 1972, Volume 40, Issue 6

Some Necessary and Sufficient Conditions for Representative Decision on Two Alternatives

https://doi.org/0012-9682(197211)40:6<1083:SNASCF>2.0.CO;2-C
p. 1083-1090

Kit Fine

A social decision rule is one that produces a social decision for each configuration of individuals' decisions. Such a rule is representative if it produces a social decision that is the result of repeatedly applying the rule of simple majority decision to decisions obtained by that rule. We give necessary and sufficient conditions for a social decision rule for two alternatives to be representative.

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