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In game theory, a strictly determined game is a two-player zero-sum game that has at least one Nash equilibrium with both players using pure strategies.The value of a strictly determined game is equal to the value of the equilibrium outcome.
The mean number chosen when playing the "guess 2/3 of the average" game four consecutive rounds. Grosskopf and Nagel's investigation also revealed that most players do not choose 0 the first time they play this game. Instead, they realise that 0 is the Nash Equilibrium after some repetitions. [14]
The stage game is usually one of the well-studied 2-person games. Repeated games capture the idea that a player will have to take into account the impact of their current action on the future actions of other players; this impact is sometimes called their reputation. Single stage game or single shot game are names for non-repeated games.
In game theory, a strictly determined game is a two-player zero-sum game that has at least one Nash equilibrium with both players using pure strategies. [2] [3] Dictator A player is a strong dictator if he can guarantee any outcome regardless of the other 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.
or "One, two, three, shoot!"). On "shoot", both players hold out either one or two fingers. If the sum of fingers shown by both players is an even number (i.e. two or four) then the "evens" player wins; otherwise the "odds" player is the winner. Since there are two possible ways to add up to three, both players have an equal chance of winning.
The following are some examples of two-player games. This list is not intended to be exhaustive. Board games: Chess; Draughts; Go; Some wargames, such as Hammer of the Scots; Card games: Cribbage; Whist; Rummy; 66; Pinochle; Magic: The Gathering, a collectible card game in which players duel; Sports: Cue sports, a family of games that use cue ...
Odds and evens is a simple game of chance and hand game, involving two people simultaneously revealing a number of fingers and winning or losing depending on whether they are odd or even, or alternatively involving one person picking up coins or other small objects and hiding them in their closed hand, while another player guesses whether they have an odd or even number.