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POMarkov decision process - how to use optimal policy formula?
 

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    <p>I have a task, where I have to calculate optimal policy (Reinforcement Learning - Markov decision process) in the grid world (agent movies left,right,up,down).</p> <p>In left table, there are Optimal values (V*). In right table, there is sollution (directions) which I don't know how to get by using that "Optimal policy" formula. Y=0.9 (discount factor)</p> <p><img src="https://i.stack.imgur.com/UQ2JS.jpg" alt="enter image description here"></p> <p>And here is formula:</p> <p><img src="https://i.stack.imgur.com/ct2Tt.png" alt="enter image description here"></p> <p>So if anyone knows how to use that formula, to get solution (those arrows), please help.</p> <p>Edit: there is whole problem description on this page: <a href="http://webdocs.cs.ualberta.ca/~sutton/book/ebook/node35.html" rel="nofollow noreferrer">http://webdocs.cs.ualberta.ca/~sutton/book/ebook/node35.html</a> Rewards: state A(column 2, row 1) is followed by a reward of +10 and transition to state A', while state B(column 4, row 1) is followed by a reward of +5 and transition to state B'. You can move: up,down,left,right. You cannot move outside the grid or stay in same place.</p>
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