Shapley-Owen value

Share of directions (uniform on the half circle) in which each voter is the median of the projected ideal points; exact from the critical directions perpendicular to pairs of ideal points.

Usage

ShapleyOwen(ideals)

Arguments

ideals

Two-column matrix of ideal points (odd count).

Value

list(value, strongest (1-based)).

References

Owen, G. and Shapley, L. S. (1989). Optimal location of candidates in ideological space. International Journal of Game Theory 18, 339-356.

Examples

ShapleyOwen(rbind(c(0, 0), c(1, 0), c(-1, 0), c(0, 1), c(0, -1)))$value
#> [1] 1 0 0 0 0