Question: Consider a multi - arm bandit problem with k = 5 actions, denoted 1 , 2 , 3 , 4 , and 5 . Consider

Consider a multi

-

arm bandit problem with k

= 5

actions, denoted

1, 2, 3, 4,

and

5 .

Consider applying to this problem a bandit algorithm using E

-

greedy action selection, sample

-

average action

-

value estimates, and initial estimates of Q

1 (

) = 0

for all a

.

Suppose the initial sequence of actions and rewards is A

1 = 1,

1 = 2,

2 = 2,

2 = 3,

3 = 3,

3 = 1,

4 = 2,

4 = 2,

5 = 3,

5 = 0,

6 = 4,

6 = 5 .

On some of these time steps the E case may have occurred causing an action to be selected at random. On which time steps did this definitely occur? On which time steps could this possibly have occurred?

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