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• W230541277 abstract "We study the process, called the IEDI process, of iterated elimination of (strictly) dominated strategies and inessential players for finite strategic games. Such elimination may reduce the size of a game considerably, for example, from a game with a large number of players to one with a few players. We extend two existing results to our context; the preservation of Nash equilibria and order-independence. These give a way of computing the set of Nash equilibria for an initial situation from the endgame. Then, we reverse our perspective to ask the question of what initial situations end up at a given final game. We assess what situations underlie an endgame. We give conditions for the pattern of player sets required for a resulting sequence of the IEDI process to an endgame. We illustrate our development with a few extensions of the Battle of the Sexes." @default.
• W230541277 created "2016-06-24" @default.
• W230541277 creator A5003306813 @default.
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• W230541277 date "2015-01-01" @default.
• W230541277 modified "2023-09-23" @default.
• W230541277 title "Elimination of dominated strategies and inessential players" @default.
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• W230541277 doi "https://doi.org/10.5277/ord150103" @default.
• W230541277 hasPublicationYear "2015" @default.
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