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Binary 2 × 2 games

✍ Scribed by Peter C. Fishburn; D. Marc Kilgour

Publisher
Springer US
Year
1990
Tongue
English
Weight
787 KB
Volume
29
Category
Article
ISSN
0040-5833

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✦ Synopsis

The 2 • 2 game is the simplest interactive decision model that portrays concerned decision makers with genuine choices. There are two players, each of whom must choose one of two strategies, so that there are four possible outcomes. Binary 2 x 2 games are 2 • 2 games with no restrictions on the players' preference relations over the outcomes. They therefore generalize the strict ordinal 2 • 2 games and the ordinal 2 • 2 games, classes which have already been studied extensively. This paper enumerates the strategically distinct binary 2 x 2 games. It also identifies important subsets defined by the number of pure Nash equilibria and the occurrence of dominant strategies.

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