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A Waiter-Client game (also called: Picker-Chooser game) is a kind of positional game. Like most positional games, it is described by its set of positions/points/elements, and its family of winning-sets (- a family of subsets of ). It is played by two players, called Waiter and Client. Each round, Waiter picks two elements, Client chooses one element and Waiter gets the other element (similarly to the Divide and choose protocol).

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  • A Waiter-Client game (also called: Picker-Chooser game) is a kind of positional game. Like most positional games, it is described by its set of positions/points/elements, and its family of winning-sets (- a family of subsets of ). It is played by two players, called Waiter and Client. Each round, Waiter picks two elements, Client chooses one element and Waiter gets the other element (similarly to the Divide and choose protocol). In a Waiter-Client game, Waiter wins if he manages to occupy all the elements of a winning-set, while Client wins if he manages to prevent this, i.e., hold at least one element in each winning-set. So Waiter and Client have, respectively, the same goals as Maker and Breaker in a Maker-Breaker game; only the rules for taking elements are different. In a Client-Waiter game the winning conditions are reversed: Client wins if he manages to hold all the elements of a winning-set, while Waiter wins if he manages to hold at least one element in each winning-set. (en)
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  • A Waiter-Client game (also called: Picker-Chooser game) is a kind of positional game. Like most positional games, it is described by its set of positions/points/elements, and its family of winning-sets (- a family of subsets of ). It is played by two players, called Waiter and Client. Each round, Waiter picks two elements, Client chooses one element and Waiter gets the other element (similarly to the Divide and choose protocol). (en)
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  • Waiter–Client game (en)
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