~/talk

Learning and Equilibrium Refinements

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Shows that when agents are long lived and derive experimentation from discounted dynamic programming, limits called patiently stable profiles must be Nash equilibria, but need not satisfy backward induction; with experimentation rates like 1/T versus 1/√T off‑path nodes are learned very differently. Uses overlapping‑generations Bayesian models, optimal stopping and the Gittins index to derive a type‑compatibility refinement in signaling games, and introduces terminal node partitions to explain why learning is not normal‑form invariant.

AI-written summary · about

  1. 0:00Introduction to the topic
  2. 2:27Defining the learning model
  3. 7:56System setup and steady states
  4. 14:17Patient stability and Nash equilibrium
  5. 18:53Simple games and subgame confirmation
  6. 20:16Refinements and game dynamics
  7. 21:35Invariance and conclusion
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