ExploreExploit.py

#!/usr/bin/env python

# Copyright (C) 2020-2022 Greenweaves Software Limited

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from numpy import array

# Priors: beliefs about initial states

D = [
    array(
        [0.5, 0.5]
    ),
    array(
        [1, 0, 0, 0]
    )
]

#Likelihoods - beliefs about relationship between hidden states and observable outcomes

A = [
    array([
        [[1, 1],
         [0, 0],
         [0, 0]],
        [[0, 0],
         [1, 0],
         [0, 1]],
        [[1, 1],
         [0, 0],
         [0, 0]],
        [[1, 1],
         [0, 0],
         [0, 0]]]),
    array([
        [[1, 1],
         [0, 0],
         [0, 0]],
        [[1, 1],
         [0, 0],
         [0, 0]],
        [[0,   0],
         [0.2, 0.8],
         [0.8, 0.2]],
        [[0,   0],
         [0.8, 0.2],
         [0.2, 0.8]]]),
    array([
        [[1, 1],
         [0, 0],
         [0, 0],
         [0, 0]],
        [[0, 0],
         [1, 1],
         [0, 0],
         [0, 0]],
        [[0, 0],
         [0, 0],
         [1, 1],
         [0, 0]],
        [[0, 0],
         [0, 0],
         [0, 0],
         [1, 1]]])
]

# Beliefs about Transition probabilities

B = [
    array([
        [[1, 0],
         [0, 1]]]),
    array([
        [[1, 1, 1, 1],
         [0, 0, 0, 0],
         [0, 0, 0, 0],
         [0, 0, 0, 0]],
        [[0, 0, 0, 0],
         [1, 1, 1, 1],
         [0, 0, 0, 0],
         [0, 0, 0, 0]],
        [[0, 0, 0, 0],
         [0, 0, 0, 0],
         [1, 1, 1, 1],
         [0, 0, 0, 0]],
        [[0, 0, 0, 0],
         [0, 0, 0, 0],
         [0, 0, 0, 0],
         [1, 1, 1, 1]]])
]

# The degree to which some outcome modalities are preferred

C = [
    array([
        [[0, 0, 0],
         [0, 0, 0],
         [0, 0, 0]]]),
    array([
        [[0, 0, 0],
         [0, -1, -1],
         [0, 4, 2]]]),
    array([
        [[0, 0, 0],
         [0, 0, 0],
         [0, 0, 0],
         [0, 0, 0]]])
]

U  = [
    array([1, 1, 1, 1]),
    array([1, 2, 3, 4])
]

V = [
    array([[1, 1, 1, 1, 1],
              [1, 1, 1, 1, 1]]),
    array([[1, 2, 2, 3, 4],
              [1, 3, 4, 1, 1]])
]

# Priors for policies

E = [1/7] * 5