トップページ > 学部紹介 > 研究活動 > 研究活動案内 > ディスカッション・ペーパー・シリーズ > No.2001-01
研究活動
- << シリーズ一覧に戻る
- ●研究活動案内
- 【長崎大学経済学部ディスカッション・ペーパー・シリーズ】
List of Discussion Paper Series
- No.2001-01 (June 2001)
- Stochastic Property of Imitation Dynamics
- Yasuo Tanabe (Associate Professor, Faculty of Economics, Nagasaki University)
- Abstract:
- This paper studies stochastic property of a class of dynamics that represent a social evolution by way of imitation and include the replicator dynamics as a special case. A time-inhomogeneous Markov process corresponding to the dynamics is constructed and analyzed. The results for the elimination of a strategy on almost all paths of the process and the ergodicity of the process corresponding to the dynamic stability of an evolutionary stable strategy in the replicator dynamics are shown.
- Keywords:
- imitation, replicator dynamics, evolutionary stable strategy Mckean process, elimination of strategy, ergodicity
- JEL Classification:
- C690, C720