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A continuous game is a mathematical concept, used in game theory, that generalizes the idea of an ordinary game like tic-tac-toe (noughts and crosses) or checkers (draughts). In other words, it extends the notion of a discrete game, where the players choose from a finite set of pure strategies. The continuous game concepts allows games to include more general sets of pure strategies, which may be uncountably infinite.
In general, a game with uncountably infinite strategy sets will not necessarily have a Nash equilibrium solution. If, however, the strategy sets are required to be compact and the utility functions continuous, then a Nash equilibrium will be guaranteed; this is by Glicksberg's generalization of the Kakutani fixed point theorem. The class of continuous games is for this reason usually defined and studied as a subset of the larger class of infinite games (i.e. games with infinite strategy sets) in which the strategy sets are compact and the utility functions continuous.
A continuousgame is a mathematical concept, used in game theory, that generalizes the idea of an ordinary game like tic-tac-toe (noughts and crosses)...
include Continuous probability distribution or random variable in probability and statistics Continuousgame, a generalization of games used in game theory...
used for simultaneous games. Given a continuousgame, players will have different information sets if the game is simultaneous than if it is sequential...
would usually be a set of disconnected missions into "chapters" of a continuousgame. They felt this connected the player to their fleet as more than disposable...
always manages to find the most bizarre and original solutions, in a continuousgame of transformation of reality". Some critics considered that Nobita's...
the Brouwer fixed-point theorem on continuous mappings into compact convex sets, which became a standard method in game theory and mathematical economics...
derived from an earlier game called continuous pool, in which points are earned for every ball that is pocketed. In this game, the last object ball is...
International League Pass introduced continuousgame feeds for selected games and all home feeds, which replaced the game break videos (highlights, commercials...
Continuous obsolescence or perpetual revolution is a phenomenon where industry trends, or other items that do not immediately correspond to technical needs...
next-door neighbours, both in their homes and shops. They are engaged in a continuousgame of one-upmanship, so both of them are shocked when they find out that...
intended to be a continuous generalization of Conway's Game of Life, with continuous states, space and time. As a consequence of its continuous, high-resolution...
designs when moving about the game world, with the open-world game using strategic storage and memory techniques to load the game world dynamically and seamlessly...
In mathematics, and in particular the study of game theory, a function is graph continuous if it exhibits the following properties. The concept was originally...
metal hydride (NiMH) battery pack, which provides up to 24 hours of continuousgaming for the wireless controller. It is an alternative to disposable AA...
The characters from the medieval fantasy television series Game of Thrones are based on their respective counterparts from author George R. R. Martin's...
perfect progressive or past perfect continuous (also known as the pluperfect progressive or pluperfect continuous) combines perfect progressive aspect...
A video game genre is an informal classification of a video game based on how it is played rather than visual or narrative elements. This is independent...
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