Sentence examples for a choice function from inspiring English sources
Therefore a choice function for $\{X,Y\}$ cannot exist.
CO is a choice function for any asymmetric ≻.
Such a choice function satisfies properties α and γ.
Such a function f is called a choice function.
CB is a choice function (i.e. satisfies the defining criteria for a choice function given in section 3.1) if and only if ≽ is complete and acyclical.
We also present an algorithm that implements a choice function based on our formalization.
In this framework, a social choice function is a function from a vector of individual preference relations over a set A of alternatives, ⟨≽1,…,≽n⟩, to a collective preference relation ≽ over the same set of alternatives, hence ≽ = r(⟨≽1,…,≽n⟩).
In quasi-linear environments with informational and allocative externalities, we show that any Bayesian mechanism that implements a social choice function can be converted into a supermodular mechanism that also implements the original decision rule.
Our characterization in this case is based on a 'revelation principle' type of result, where we show that a social choice function can be symmetrically implemented if and only if a particular kind of (indirect) symmetric mechanism implements it.
A social choice function may or may not satisfy a desirable property depending on its domain of definition.
Their choices were well described by a linear trade-off between reward and cost combined with a softmax choice function (see Hosokawa et al., 2013 for detailed behavioural modelling).
