Note on Complete Proof of Axelrod’s Theorem
This note will give a complete proof of Axelrod’s theorem that characterizes the advantage of Tit-for-Tat (TFT) strategy in the repeated prisoner’s dilemma. Despite of its importance in Axelrod’s study, the proof of the theorem is incomplete. First, the fault of the proof is depicted and two approac...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Global Business Research Center
2003-10-01
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| Series: | Annals of Business Administrative Science |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/abas/2/4/2_39/_pdf/-char/en |
| Summary: | This note will give a complete proof of Axelrod’s theorem that characterizes the advantage of Tit-for-Tat (TFT) strategy in the repeated prisoner’s dilemma. Despite of its importance in Axelrod’s study, the proof of the theorem is incomplete. First, the fault of the proof is depicted and two approaches for complementation are shown. Then, we provide the complete proof using these two approaches. |
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| ISSN: | 1347-4464 1347-4456 |