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2015 | 25 | 1 | 33-54
Article title

Elimination of dominated strategies and inessential players

Content
Title variants
Languages of publication
EN
Abstracts
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.
Year
Volume
25
Issue
1
Pages
33-54
Physical description
Contributors
author
author
References
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.desklight-a605cd71-ef2e-4ccc-813f-b93ded15b8bd
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