Landau set

Landau set

In voting systems, the Landau set (or uncovered set, or Fishburn set) is the set of candidates "x" such that for every other candidate "y", there is some candidate "z" (possibly the same as "x", but distinct from "y") such that "y" is not preferred to "x" and "z" is not preferred to "y".

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

References

*Nicholas R. Miller, "Graph-theoretical approaches to the theory of voting", "American Journal of Political Science", Vol. 21 (1977), pp. 769-803.
*Nicholas R. Miller, "A new solution set for tournaments and majority voting: further graph-theoretic approaches to majority voting", "American Journal of Political Science", Vol. 24 (1980), pp. 68-96.
*Norman J. Schofield, "Social Choice and Democracy", Springer-Verlag: Berlin, 1985.
*Philip D. Straffin, "Spatial models of power and voting outcomes", in "Applications of Combinatorics and Graph Theory to the Biological and Social Sciences", Springer: New York-Berlin, 1989, pp. 315-335.
*Elizabeth Maggie Penn, " [http://www.people.fas.harvard.edu/~epenn/covering.pdf Alternate definitions of the uncovered set and their implications] ", 2004.
*Nicholas R. Miller, "In search of the uncovered set", "Political Analysis", 15:1 (2007), pp. 21-45.
*William T. Bianco, Ivan Jeliazkov, and Itai Sened, "The uncovered set and the limits of legislative action", "Political Analysis", Vol. 12, No. 3 (2004), pp. 256-276. [http://pan.oxfordjournals.org/cgi/content/abstract/12/3/256]


Wikimedia Foundation. 2010.

Игры ⚽ Поможем написать реферат

Look at other dictionaries:

  • LANDAU, JUDAH LOEB — (Leo; 1866–1942), South African rabbi, scholar, poet, and playwright. Landau was born in Zatozce, Galicia. His father Moses Issachar Landau was a maskil and regular contributor to the Hebrew press. Landau attended the German gymnasium at Brody… …   Encyclopedia of Judaism

  • LANDAU, EZEKIEL BEN JUDAH — (1713–1793), halakhic authority of the 18th century, known as the Noda bi Yehudah, after one of his works (see below). Landau was born in Opatow, Poland, and received his talmudic education first in his hometown until the age of 13 and… …   Encyclopedia of Judaism

  • Landau quantization — in quantum mechanics is the quantization of the cyclotron orbits of charged particles in magnetic fields. As a result, the charged particles can only occupy orbits with discrete energy values, called Landau levels. The Landau levels are… …   Wikipedia

  • LANDAU, ISAAC ELIJAH BEN SAMUEL — (1801–1876), Lithuanian preacher and biblical commentator. Landau was born in Vilna. He married the daughter of the wealthy and well known Zadok Marshalkovitch of Dubno and was relieved of financial cares, and although he did occasionally engage… …   Encyclopedia of Judaism

  • Landau–Zener formula — The Landau–Zener formula is an analytic solution to the equations of motion governing the transition dynamics of a 2 level quantum mechanical system, with a time dependent Hamiltonian varying such that the energy separation of the two states is a …   Wikipedia

  • Landau's problems — At the 1912 International Congress of Mathematicians, Edmund Landau listed four basic problems about primes. These problems were characterised in his speech as unattackable at the present state of science and are now known as Landau s problems.… …   Wikipedia

  • Landau's constants — In complex analysis, Landau s constants are certain mathematical constants that describe the behaviour of holomorphic functions defined on the unit disk. Consider the set F of all those holomorphic functions f on the unit disk for which :f (0) =… …   Wikipedia

  • Set This Circus Down — Infobox Album | Name = Set This Circus Down Type = studio Artist = Tim McGraw Released = April 24, 2001 Genre = Country Length = 56:16 Label = Curb Producer = Byron Gallimore Tim McGraw James Stroud Reviews = *Allmusic Rating|4|5… …   Wikipedia

  • Johann Georg Landau — (* 26. Oktober 1807 in Kassel; † 15. Februar 1865 in Kassel) war hessischer kurfürstlicher Archivar und Historiker. Inhaltsverzeichnis 1 Leben 2 Nachleben 3 Quellen und Quellverweise 4 Werke …   Deutsch Wikipedia

  • Henry Landau — Henry Jacob Landau is an American mathematician, known forhis contributions to information theory, in particular to the theory of bandlimited functions and on moment (mathematics) issuesHe received a A.B. (1953), A.M. (1955) and Ph.D. (1957) from …   Wikipedia

Share the article and excerpts

Direct link
… Do a right-click on the link above
and select “Copy Link”