![]() With a non-homogenous object, such as a half chocolate/half vanilla cake or a patch of land with a single source of water, the solutions are far more complex. ^ For the cake cutting problem, there is a simple solution if the object to be divided is homogenous one person cuts, the other chooses who gets which piece (continued for each player).Move by nature: A game includes a random move by nature.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. In these games, one player gains if and only if another player loses. ![]() 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.Perfect information: A game has perfect information if it is a sequential game and every player knows the strategies chosen by the players who preceded them.Sequential game: A game is sequential if one player performs their actions after another player otherwise, the game is a simultaneous move game.Considering only situations where players play a single strategy without randomizing (a pure strategy) a game can have any number of Nash equilibria. In other words, if every player is playing their part of a Nash equilibrium, no player has an incentive to unilaterally change their strategy. Number of pure strategy Nash equilibria: A Nash equilibrium is a set of strategies which represents mutual best responses to the other strategies.If the number is the same for all players, it is listed here. Strategies per player: In a game each player chooses from a set of possible actions, known as pure strategies.Number of players: Each person who makes a choice in a game or who receives a payoff from the outcome of those choices is a player.Games can have several features, a few of the most common are listed here. This is a list of the most commonly studied games Classes of these games have been given names. Game theory studies strategic interaction between individuals in situations called games. See also: Category:Game theory game classes
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