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Monadic Social Choice

2013
n this paper, we show how monads and substitutions allows for a separation between social choice and social ‘choosing’. Choice as value and choosing as operation is modeled using underlying signatures and related term monads. These monads are arranged over Goguen’s category Set(L), which provides the internalization of uncertainty both in choice as ...
P. Eklund, Fedrizzi, Mario, R. Helgesson
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Social Choice Functions

SIAM Review, 1974
With $\mathcal{H}$ a family of sets and $\mathcal{D}$ a set, a social choice function assigns a nonempty subset $F(Y,D)$ of Y to each $(Y,D) \in \mathcal{H} \times \mathcal{D}$. In social choice theory, the sets in $\mathcal{H}$ are feasible alternative sets, each $D \in \mathcal{D}$ specifies preferences on the alternatives of individuals in the ...
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