Multiplayer game

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A multiplayer game has several players,[1] who may be independent opponents or teams. Games with many independent players are difficult to analyse formally using game theory as the players may form coalitions.[2] The term "game" in this context may mean either a true game played for entertainment, or a competitive activity describable in principle by mathematical game theory.

Game theory

John Nash proved that games with several players have a stable solution provided that coalitions between players are not allowed. He won the Nobel prize for economics for this important result which extended von Neumann's theory of zero-sum games. Such a stable strategy is called a Nash equilibrium.[3]

If cooperation between players is allowed, then the game is more complex. Many concepts have been developed to analyze such games. While these have had some partial success in the fields of economics, politics and conflict, no good general theory has yet been developed.[3]

In quantum game theory, it has been found that the introduction of quantum information into multiplayer games allows a new type of equilibrium strategy which is not found in traditional games. The entanglement of players's choices can have the effect of a contract by preventing players from profiting from betrayal.[4]

Types

Examples of multiplayer games for entertainment include:

See also

References

  1. Oxford English Dictionary. Oxford University Press. 2008. Designed for or involving more than two (esp. many) players or participants<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
  2. K. G. Binmore (1994). Game Theory and the Social Contract. MIT Press. ISBN 0-262-02444-6.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
  3. 3.0 3.1 Laszlo Mero, Anna C. Gosi-Greguss, David Kramer (1998). Moral calculations: game theory, logic, and human frailty. New York: Copernicus. ISBN 0-387-98419-4.CS1 maint: multiple names: authors list (link)<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
  4. Simon C. Benjamin and Patrick M. Hayden (13 August 2001). "Multiplayer quantum games". Physical Review A. 64 (3): 030301. doi:10.1103/PhysRevA.64.030301.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>
  5. 5.0 5.1 R. Wayne Schmittberger (1992). New Rules for Classic Games. New York: Wiley. ISBN 0-471-53621-0.<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>