This chapter completes the basic structure of game theoretic modelling by introducing the concept of common knowledge—the idea that all players know the rules of the game, know that others know, and so on. The chapter applies this assumption to real-world strategic interactions, including geopolitical signaling, legal reform, and crypto-economics. A new method of solving games, iterative elimination of dominated strategies, is introduced and used to analyse scenarios like India-China conflict, air pollution regulation, and Bitcoin’s power dynamics. The chapter emphasizes how assumptions about knowledge shape strategic outcomes in subtle and powerful ways.

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Common Knowledge

  • Rohit Prasad

摘要

This chapter completes the basic structure of game theoretic modelling by introducing the concept of common knowledge—the idea that all players know the rules of the game, know that others know, and so on. The chapter applies this assumption to real-world strategic interactions, including geopolitical signaling, legal reform, and crypto-economics. A new method of solving games, iterative elimination of dominated strategies, is introduced and used to analyse scenarios like India-China conflict, air pollution regulation, and Bitcoin’s power dynamics. The chapter emphasizes how assumptions about knowledge shape strategic outcomes in subtle and powerful ways.