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The infinite game - there is only one - includes any authentic interaction, from touching to culture, that changes rules, plays with boundaries and exists solely for the purpose of continuing the game. A finite player seeks power; the infinite one displays self-sufficient strength. Finite games are theatrical, necessitating an audience ...
James P. Carse (December 24, 1932 – September 25, 2020) [1] was an American academic who was Professor Emeritus of history and literature of religion at New York University. His book Finite and Infinite Games was widely influential. He was religious "in the sense that I am endlessly fascinated with the unknowability of what it means to be ...
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 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 ...
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 ...
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 ...