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Boolean functions whose Fourier transform is concentrated on the first two levels. (English) Zbl 1039.91014

This mathematical paper on Boolean functions has an interesting application in the study of neutral social choice functions. If the outcome (a strict social preference) of a neutral social choice function for random profiles is almost surely rational (transitive), then the social choice is approximately a dictatorship (the approximation being appropriately defined).
Reviewer: M. Salles (Caen)

MSC:

91B14 Social choice
06E30 Boolean functions
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References:

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