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Frans A. Oliehoek, Christopher Amato's A Concise Introduction to Decentralized POMDPs PDF

By Frans A. Oliehoek, Christopher Amato

ISBN-10: 3319289276

ISBN-13: 9783319289274

ISBN-10: 3319289292

ISBN-13: 9783319289298

This ebook introduces multiagent making plans below uncertainty as formalized by way of decentralized in part observable Markov choice strategies (Dec-POMDPs). The meant viewers is researchers and graduate scholars operating within the fields of man-made intelligence with regards to sequential determination making: reinforcement studying, decision-theoretic making plans for unmarried brokers, classical multiagent making plans, decentralized keep an eye on, and operations examine.

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The dynamic programming method proposed by Hansen et al. 2, does apply to POSGs: it finds the set of nondominated policies for each agent. Even though the consequences of switching to self-interested agents are severe from a computational perspective, from a modeling perspective the Dec-POMDP and POSG framework are very similar. In particular all dynamics with respect to transitions and observations are identical, and therefore computation of probabilities of action-observation histories and joint beliefs transfers to the POSG setting.

Ti ,Ri ,Oi ,Oi are the transition and reward functions, observations and the observation function for agent i. , Oi specifies Pr(oi |a,s )). Since an I-POMDP can be seen as a POMDP defined over interactive states, the POMDP belief update can be generalized to the I-POMDP setting [Gmytrasiewicz 9 This generalizes to more than two agents, but for simplicity we focus on a two-agent (i and j) setting. 32 2 The Decentralized POMDP Framework and Doshi, 2005]. The intuition is that, in order to predict the actions of the other agents, it uses probabilities ∀ j Pr(a j |θ j ) given by the model m j .

A finite horizon the undiscounted expected cumulative reward (the expectation of the sum of the rewards for all stages, introduced in Chapter 3) is commonly used as the optimality criterion. The planning problem amounts to finding a tuple of policies, called a joint policy, that maximizes the optimality criterion. During execution, the agents are assumed to act based on their individual observations only and no additional communication is assumed. This does not mean that Dec-POMDPs cannot model settings which concern communication.

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A Concise Introduction to Decentralized POMDPs by Frans A. Oliehoek, Christopher Amato


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