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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.
This method was applied to the representation of genes (N=4, r=0.5) [7] [8] and proteins (N=20, r=0.863). [5] [9] Additionally, the representations of protein sequences was used to instruct ML models to predict protein features. [5] [10] The expansion of the chaos game using r=2 can be useful to magnify small mutations in the comparison between ...
In game theory, "guess 2 / 3 of the average" is a game where players simultaneously select a real number between 0 and 100, inclusive. The winner of the game is the player(s) who select a number closest to 2 / 3 of the average of numbers chosen by all players.
A solved game is a game whose outcome (win, lose or draw) can be correctly predicted from any position, assuming that both players play perfectly.This concept is usually applied to abstract strategy games, and especially to games with full information and no element of chance; solving such a game may use combinatorial game theory or computer assistance.
Games with a random time horizon are a particular case of differential games. [9] In such games, the terminal time is a random variable with a given probability distribution function. Therefore, the players maximize the mathematical expectancy of the cost function. It was shown that the modified optimization problem can be reformulated as a ...
Other games procedurally generate other aspects of gameplay, such as the weapons in Borderlands which have randomized stats and configurations. [3] This is a list of video games that use procedural generation as a core aspect of gameplay. Games that use procedural generation solely during development as part of asset creation are not included.
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Extensive form representation of a two proposal ultimatum game. Player 1 can offer a fair (F) or unfair (U) proposal; player 2 can accept (A) or reject (R). The ultimatum game is a popular experimental economics game in which two players interact to decide how to divide a sum of money, first described by Nobel laureate John Harsanyi in 1961. [1]