The Analysis of the Structure Nash Equilibrium Solution of Two-person Two-strategy Game

DOI

10.2991/iceeim-14.2014.42How to use a DOI?

Keywords

equilibrium points of Nash, analytic of the structure, under line method, pure strategy

Abstract

The paper discusses the solution of 2-person 2-strategy game in consideration that has the pure strategy equilibrium point of Nash, and adopts the underline method to get the equilibrium points of Nash considering the possibility that the gains of 2-person are equal at the first. The paper lists 81 kinds’ states through the exhaustive method, and summarizes 6 kinds of independence situations: non-equilibrium point of Nash, one- equilibrium point of Nash, three-equilibrium point of Nash, four-equilibrium point of Nash for each one, and two-equilibrium point of Nash for two. In the meantime the paper gives the case of game for repairing the railway or the road for explaining the 6 kinds of equilibrium point of Nash. In the end, the paper draws a conclusion that the equilibrium points of Nash are not optimal solutions.

Copyright

© 2014, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - Hongxia Fu
AU  - Jinghui Yang
AU  - Guochun Tang
PY  - 2014/04
DA  - 2014/04
TI  - The Analysis of the Structure Nash Equilibrium Solution of Two-person Two-strategy Game
BT  - Proceedings of the 2014 International Conference on e-Education, e-Business and Information Management
PB  - Atlantis Press
SP  - 144
EP  - 146
SN  - 1951-6851
UR  - https://doi.org/10.2991/iceeim-14.2014.42
DO  - 10.2991/iceeim-14.2014.42
ID  - Fu2014/04
ER  -