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[likelihood_ratio_processes_2] Update new exercises with learning agents #566

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This PR adds new exercises for B-E model with Bayes learning.

@HumphreyYang HumphreyYang marked this pull request as draft August 19, 2025 11:29
@HumphreyYang HumphreyYang requested a review from Copilot August 19, 2025 11:29
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Pull Request Overview

This PR adds two new exercises to the likelihood ratio processes lecture that implement the Blume-Easley model with Bayesian learning agents. The exercises explore how agents with different initial beliefs learn from data and how their consumption shares evolve over time.

  • Implements a Bayesian learning framework where agents update beliefs using likelihood ratios
  • Analyzes convergence dynamics under different scenarios with varying initial priors and distribution parameters

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