Mentors and Recombinators: Multi-Dimensional Social Learning (joint with Omer Edhan, Ziv Hellman, Srinivas Arigapudi)

bstract:
We study games in which the set of strategies is multi-dimensional, and new agents might learn various  strategic dimensions from  different mentors. This induces a new family of recombinator dynamics that generalises the standard replicator dynamics, in which each new agent learns everything from a single mentor. We characterise the stable equilibria under these dynamics, and we show that they predict novel behaviour in various applications, such as cooperation supported by dominated strategies in the Prisoner's Dilemma, and stability of robust traits at the expense of specialised traits.



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