Smallest disc meeting every median line of an odd set of ideal points in the
plane, from the exact farthest-median-line distance (convex in the centre; the
interior-arc case where limiting median lines do not suffice is included)
minimised by Nelder-Mead from the centroid and each ideal point.
Usage
Yolk(ideals, tol = 1e-12)
Arguments
- ideals
Two-column matrix of ideal points (odd count).
- tol
Radius below which the core is declared to exist.
Value
list(center, radius, core).
References
McKelvey, R. D. (1986). Covering, dominance, and institution-free
properties of social choice. American Journal of Political Science 30,
283-314. Stone, R. E. and Tovey, C. A. (1992). Limiting median lines do not
suffice to determine the yolk. Social Choice and Welfare 9, 33-35.
Examples
Yolk(rbind(c(0, 0), c(1, 0), c(-1, 0), c(0, 1), c(0, -1)))$radius
#> [1] 0
