A Strong Duality Result for Cooperative Decentralized Constrained POMDPs
A Strong Duality Result for Cooperative Decentralized Constrained POMDPs
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DOI：
10.1109/cdc49753.2023.10383989
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发表时间：
2023-12
期刊：
影响因子：
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通讯作者：
Nouman Khan;Vijay G. Subramanian
中科院分区：
文献类型：
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作者：
Nouman Khan;Vijay G. Subramanian
研究了信息不对称条件下的合作分散约束POMDPs问题。利用锡永关于正无穷函数的Minimax定理的推广和测度弱收敛的结果，证明了当观测值位于可数空间中，行动选自有限空间，直接约束成本有界，直接目标成本下有界时，无穷水平期望总折扣成本的强对偶性和鞍点的存在性.
The work studies cooperative decentralized constrained POMDPs with asymmetric information. Using an extension of Sion's Minimax theorem for functions with positive infinity and results on weak-convergence of measures, strong duality and existence of a saddle point are established for the setting of infinite-horizon expected total discounted costs when the observations lie in a countable space, the actions are chosen from a finite space, the immediate constraint costs are bounded, and the immediate objective cost is bounded from below.