Nash equilibriumIn game theory, the Nash equilibrium, named after the mathematician John Nash, is the most common way to define the solution of a non-cooperative game involving two or more players. In a Nash equilibrium, each player is assumed to know the equilibrium strategies of the other players, and no one has anything to gain by changing only one's own strategy. The principle of Nash equilibrium dates back to the time of Cournot, who in 1838 applied it to competing firms choosing outputs.
Topological quantum numberIn physics, a topological quantum number (also called topological charge) is any quantity, in a physical theory, that takes on only one of a discrete set of values, due to topological considerations. Most commonly, topological quantum numbers are topological invariants associated with topological defects or soliton-type solutions of some set of differential equations modeling a physical system, as the solitons themselves owe their stability to topological considerations.
Hip hop productionHip hop production is the creation of hip hop music in a recording studio. While the term encompasses all aspects of hip hop music creation, including recording the rapping of an MC, a turntablist or DJ providing a beat, playing samples and "scratching" using record players and the creation of a rhythmic backing track, using a drum machine or sequencer, it is most commonly used to refer to recording the instrumental, non-lyrical and non-vocal aspects of hip hop.
Hip hop (culture)Hip hop or hip-hop is a culture and art movement that was created by African Americans pioneered from Black American street culture, also known as hip hop African American culture, that had been around for years prior to its more mainstream discovery while later reaching other groups such as Latino Americans and Caribbean Americans, starting in the Bronx, New York City. Hip Hop is one of cultural movements that has been shaped and dominated by African American males though female hip hop artists have contributed to the art form and culture as well.
Correlated equilibriumIn game theory, a correlated equilibrium is a solution concept that is more general than the well known Nash equilibrium. It was first discussed by mathematician Robert Aumann in 1974. The idea is that each player chooses their action according to their private observation of the value of the same public signal. A strategy assigns an action to every possible observation a player can make. If no player would want to deviate from their strategy (assuming the others also don't deviate), the distribution from which the signals are drawn is called a correlated equilibrium.