✦ LIBER ✦
Non-strict ordinal 2 × 2 games: A comprehensive computer-assisted analysis of the 726 possibilities
✍ Scribed by Niall M. Fraser; D. Marc Kilgour
- Publisher
- Springer US
- Year
- 1986
- Tongue
- English
- Weight
- 1012 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0040-5833
No coin nor oath required. For personal study only.
✦ Synopsis
Game theory has provided many tools for the study of social conflict. The 2 x 2 game has been found to be a particularly useful model. This paper describes the enumeration and analysis of all 726 distinct 2 x 2 games. A computer is used to generate the complete set, and a wide variety of maximin, equilibrium and stability calculations is performed for each player for every outcome in every game. The resulting data set is of great value for both the modeling and analysis of social conflict.
ORDINAL 2 x 2 GAMES 109
Player h, who makes the last move, is h = 1 if m is odd and h = 2 if m is even.