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Constant sum: A game is a constant sum game if the sum of the payoffs to every player are the same for every single set of strategies. In these games, one player gains if and only if another player loses. A constant sum game can be converted into a zero sum game by subtracting a fixed value from all payoffs, leaving their relative order unchanged.
Matthew Robert Patrick (born November 15, 1986), better known as MatPat, is an American former YouTuber and internet personality. He is the creator and former host of the YouTube series Game Theory, and its spin-off channels Film Theory, Food Theory, and Style Theory, each analyzing various video games, films alongside TV series and web series, food, and fashion respectively.
MatPat's Game Lab is a single-season YouTube Premium reality streaming television series hosted by Matthew Patrick that debuted on June 8, 2016. [1] Every episode was filmed and released with an accompanying 360-degree video. These videos are either staged pieces about the same game or behind the scenes videos to the episodes. [2]
John Harsanyi – equilibrium theory (Nobel Memorial Prize in Economic Sciences in 1994) Monika Henzinger – algorithmic game theory and information retrieval; John Hicks – general equilibrium theory (including Kaldor–Hicks efficiency) Naira Hovakimyan – differential games and adaptive control; Peter L. Hurd – evolution of aggressive ...
In game theory, a solution concept is a formal rule for predicting how a game will be played. These predictions are called "solutions", and describe which strategies will be adopted by players and, therefore, the result of the game. The most commonly used solution concepts are equilibrium concepts, most famously Nash equilibrium.
Let be the number of players, the set of action profiles over the action sets of each player and : be the payoff function for player .. Given a game = (, = …,:), we say that is a potential game with an exact (weighted, ordinal, generalized ordinal, best response) potential function if : is an exact (weighted, ordinal, generalized ordinal, best response, respectively) potential function for .
In Game theory, the minimum effort game or weakest link game is a game in which each person decides how much effort to put in and is rewarded based on the least amount of effort anyone puts in. [1] It is assumed that the reward per unit of effort is greater than the cost per unit effort, otherwise there would be no reason to put in effort.
In game theory, a multi-stage game is a sequence of several simultaneous games played one after the other. [1] This is a generalization of a repeated game : a repeated game is a special case of a multi-stage game, in which the stage games are identical.