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This is a list of the most commonly studied games. Explanation of features. Games can have several features, a few of the most common are listed here. 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.
Game Theory, Alive Anna R. Karlin and Yuval Peres December 13, 2016 Please send comments and corrections to ... Two-person zero-sum games 34 2.1. Examples 34 2.2. De nitions 36 2.3. The Minimax Theorem and its meaning 37 2.4. Simplifying and solving zero-sum games 38 2.4.1. Pure optimal strategies: Saddle points 38
A two-player game is called a zero-sum game if the sum of the payoffs to each player is constant for all possible outcomes of the game. More specifically, the terms (or coordinates) in each payoff vector must add up to the same value for each payoff vector.
Common term: “zero-sum situation”. Psychology literature: “zero-sum thinking”. “Strictly competitive games”. Focus on two-player zero-sum games (2p-zs) “The more I win, the more you lose”.
Other common real-life examples of zero sum games include games like chess and poker, and financial instruments like options and futures (excluding transaction costs). In each of these cases, an increase in one player's payoff corresponds to a decrease in another player's payoff.
Let us look at some examples: all of these basic examples have only two players which will be easy to picture and reason about. 2.1 The Shooter-Goalie Game. ome team has a penalty shot. There . re two players in this game. One called the shooter, th. other is called the goalie. H.
A zero sum game is one where any winnings for one player counts as a loss for the other player. We will generally simplify the diagram so it will be easier to read, where each number represents winnings for Player A and losses for Player B.
