What is the Markov Decision Process?

Instruction: Provide a simple explanation of the Markov Decision Process in the context of Reinforcement Learning.

Context: This question is designed to gauge the candidate's understanding of the Markov Decision Process as the mathematical framework underlying many Reinforcement Learning problems.

Updated

Example Answer

A Markov decision process describes sequential decisions using states, available actions, a transition model, and rewards. The objective also specifies a horizon or discount factor. A policy tells the agent how to choose actions in each state.

The key assumption is the Markov property: once the current state and action are known, the distribution of the next state and reward does not depend on earlier history. That is stronger than calling a state a snapshot of the environment. The state must retain the information needed to predict what happens next.

For a warehouse robot, position alone may be insufficient. Two robots at the same position but with different battery levels or carried loads can have different feasible actions and outcomes. I would include those variables, and time remaining if the task has a fixed deadline. If the agent observes only part of the relevant state, I would treat it as a partially observable problem and consider history or a belief state.

Follow-up

To check a proposed state representation, ask whether two histories ending in the same representation imply the same outcome distribution for the same action.

David Silver: Markov decision processes

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