Network Structure
Complete Cycle
Wheel Line
Star Two cliques
Number of agents:
9
Number of arms:
2
arm mean (μ):    variance (σ2):
arm mean (μ):    variance (σ2):
arm mean (μ):    variance (σ2):
arm mean (μ):    variance (σ2):
arm mean (μ):    variance (σ2):
arm mean (μ):    variance (σ2):
arm mean (μ):    variance (σ2):
Learning Problem
Unknown μ and known σ2

Agents learn about each arm's μ by observing the payouts yielded by that arm.

Agents update their beliefs using Bayes' Theorem

Agents' initial beliefs are given by the improper flat prior (i.e., p(μ) is proportional to a constant).

Agents choose the arm with the greatest E(μ).

Unknown μ and unknown σ2

Agents learn about each arm's μ and σ2 by observing the payouts yielded by that arm.

Agents update their beliefs using Bayes' Theorem.

Agents' initial beliefs are given by the improper prior p(μ,σ2) ∝ (σ2)-1.

Agents choose the arm with the greatest E(μ).