Questions tagged [optimal-policy]

For questions related to the concept of "optimal policy" in reinforcement learning.

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Given two optimal policies, is an affine combination of them also optimal?

If there are two different optimal policies $\pi_1, \pi_2$ in a reinforcement learning task, will the linear combination (or affine combination) of the two policies $\alpha \pi_1 + \beta \pi_2, \alpha ...
0
votes
0answers
18 views

Optimal path finding in multiagent game with collision avoidance

What algorithm to use when to find the optimal path from a starting point to the end point in a multiagent game with collision avoidance? I am in control of the agent while having zero ideas of where ...
2
votes
1answer
249 views

What's the optimal policy in the rock-paper-scissors game?

A deterministic policy in the rock-paper-scissors game can be easily exploited by the opponent - by doing just the right sequence of moves to defeat the agent. More often than not, I've heard that a ...
2
votes
1answer
123 views

Equation not satisfied in Policy Iteration Algorithm

In equation 4.9 of Sutton and Barto's book on page 79, we have(for policy iteration algo): $\pi ^{'}(s) = arg \max_{a}\sum_{s',r}p(s',r|s,a)[r+\gamma v_{\pi}(s')]$ where $\pi$ is the previous policy ...
4
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1answer
190 views

An example of a unique value function which is associated with multiple optimal policies

In the 4th paragraph of http://www.incompleteideas.net/book/ebook/node37.html it is mentioned: Whereas the optimal value functions for states and state-action pairs are unique for a given MDP, ...