4. What is a Condorcet Candidate?

In voting theory, a Condorcet candidate is a candidate who always wins in a 2-person election but loses in larger election. For example, consider the 6-tuples of 6-sided die rolls A=(1,1,1,4,7,7), B=(2,2,5,5,5,5), and C=(3,3,3,3,3,6).

Represent a two-person election by considering all 36 outcomes for rolling these two dice. Then B beats A 22 to 14, and beats C 20 to 16. In a three way election, A wins with 82, B is second with 80, and C is last with 54.

Military pilots fly various types of specialized aircraft to transport troops and equipment and to execute combat missions. Military aircraft make up of one of the world's largest fleets of specialized airplanes.

In addition to its intrinsic value, culture provides important social and economic benefits. With improved learning and health, increased tolerance, and opportunities to come together with others, culture enhances our quality of life and increases overall well-being for both individuals and communities.