On cycles with undistinguished actions and extended rock-paper-scissors game
This thesis is an exposition of the articles written by Eric Bahel and Hans Haller [2] [3]. The aim of this study is to identify the unique Nash equilibrium of a cycle-based game under a strict preference relation. In particular, the game Rock-Paper-Scissors has a unique Nash equilibrium where each...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | text |
| Language: | English |
| Published: |
Animo Repository
2016
|
| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/14923 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | De La Salle University |
| Language: | English |
| Summary: | This thesis is an exposition of the articles written by Eric Bahel and Hans Haller [2] [3]. The aim of this study is to identify the unique Nash equilibrium of a cycle-based game under a strict preference relation. In particular, the game Rock-Paper-Scissors has a unique Nash equilibrium where each action is given a weight of one-third. Furthermore, this study discusses and illustrates the characterization of the set of Nash equilibria for a two-player zero-sum game based on a cyclic preference relation. There exist two cases for this characterization. First, if the game has even actions, there exists a continuum of mixed strategies. In the case of odd actions, a unique Nash equilibrium is obtained. |
|---|