论文标题

通过级联多重说明网络进行战略性沟通

Strategic Communication via Cascade Multiple Description Network

论文作者

Rouphael, Rony Bou, trust, Maël Le

论文摘要

在分散的决策问题中,代理商根据当地可用的信息以及有关其他代理商的决策规则或策略的知识选择其行动。我们考虑一个带有编码器,继电器和解码器的三节点级联网络,其成本函数捕获了不同的目标。在这样的级联网络中,代理商依次选择各自的策略,作为对前代理的策略的回应,并以影响网络中后者代理的决策的方式。我们假设编码器在交流之前提出了一种策略。在启示编码策略后,继电器承诺策略并揭示它。沟通开始,源序列由编码器和继电器绘制并处理。然后,解码器观察一系列符号,相应地更新其贝叶斯后验信仰,并采取最佳作用。这是游戏理论文献中贝叶斯说服问题的延伸。在这项工作中,我们提供了一种信息理论方法,可以通过三节点级联网络研究战略沟通的基本限制。我们的目标是表征编码器,继电器和解码器的最佳策略,并研究编码器最小长期成本函数的渐近行为。

In decentralized decision-making problems, agents choose their actions based on locally available information and knowledge about decision rules or strategies of other agents. We consider a three-node cascade network with an encoder, a relay and a decoder, having distinct objectives captured by cost functions. In such a cascade network, agents choose their respective strategies sequentially, as a response to the former agent's strategy and in a way to influence the decision of the latter agent in the network. We assume the encoder commits to a strategy before the communication takes place. Upon revelation of the encoding strategy, the relay commits to a strategy and reveals it. The communication starts, the source sequence is drawn and processed by the encoder and relay. Then, the decoder observes a sequences of symbols, updates its Bayesian posterior beliefs accordingly, and takes the optimal action. This is an extension of the Bayesian persuasion problem in the Game Theory literature. In this work, we provide an information-theoretic approach to study the fundamental limit of the strategic communication via three-node cascade network. Our goal is to characterize the optimal strategies of the encoder, the relay and the decoder, and study the asymptotic behavior of the encoder's minimal long-run cost function.

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