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A review of the book summarizes Carse's argument: "There are at least two kinds of games: finite and infinite. A finite game is played for the purpose of winning, an infinite game for the purpose of continuing the play. Finite games are those instrumental activities - from sports to politics to wars - in which the participants obey rules ...
The Infinite Game is a 2019 book by Simon Sinek, applying ideas from James P. Carse's similarly titled book, Finite and Infinite Games to topics of business and leadership. [ 1 ] The book is based on Carse's distinction between two types of games: finite games and infinite games.
A finite game (sometimes called a founded game [1] or a well-founded game [2]) is a two-player game which is assured to end after a finite number of moves. Finite games may have an infinite number of possibilities or even an unbounded number of moves, so long as they are guaranteed to end in a finite number of turns. [3]
Repeated games may be broadly divided into two classes, finite and infinite, depending on how long the game is being played for. Finite games are those in which both players know that the game is being played a specific (and finite) number of rounds, and that the game ends for certain after that many rounds have been played. In general, finite ...
In descriptive set theory, the Borel determinacy theorem states that any Gale–Stewart game whose payoff set is a Borel set is determined, meaning that one of the two players will have a winning strategy for the game. A Gale–Stewart game is a possibly infinite two-player game, where both players have perfect information and no randomness is ...
Finite and Infinite Games. New York: Free Press ISBN 0-02-905980-1. 1986. Breakfast at the Victory 1994. The Gospel of the Beloved Disciple 1997. The Religious Case Against Belief. 2008. New York: The Penguin Press ISBN 978-1-59420-169-1; PhDeath: The Puzzler Murders. 2016. New York. Opus Press 978-1-62316-066-1
In game theory, an extensive-form game is a specification of a game allowing (as the name suggests) for the explicit representation of a number of key aspects, like the sequencing of players' possible moves, their choices at every decision point, the (possibly imperfect) information each player has about the other player's moves when they make a decision, and their payoffs for all possible ...
Hence, their utility in the repeated game is represented by the sum of utilities in the basic games. When the game is infinite, a common model for the utility in the infinitely-repeated game is the limit inferior of mean utility: If the game results in a path of outcomes , where denotes the collective choices of the players at iteration t (t=0 ...