Landau set

In the study of electoral systems, the uncovered set (also called the Landau set or the Fishburn set) is a set of candidates that generalizes the notion of a Condorcet winner whenever there is a Condorcet paradox.[1] The Landau set can be thought of as the Pareto frontier for a set of candidates, when the frontier is determined by pairwise victories.[2]

The Landau set is a nonempty subset of the Smith set. It was first discovered by Nicholas Miller.[2]

  1. ^ Miller, Nicholas R. (February 1980). "A New Solution Set for Tournaments and Majority Voting: Further Graph- Theoretical Approaches to the Theory of Voting". American Journal of Political Science. 24 (1): 68–96. doi:10.2307/2110925. JSTOR 2110925.
  2. ^ a b Miller, Nicholas R. (November 1977). "Graph-Theoretical Approaches to the Theory of Voting". American Journal of Political Science. 21 (4): 769–803. doi:10.2307/2110736. JSTOR 2110736.