自主设备与非结盟公用事业战略协调的信息设计
Information Design for Strategic Coordination of Autonomous Devices with Non-Aligned Utilities
摘要:
在本文中,我们研究了非对齐的效用函数的自治设备的协调。编码器和解码器都被视为参与者,他们选择编码和解码以最大化他们的长期效用函数。所研究的点对点网络的拓扑结构表明,解码器实现了一种策略,预先知道编码器的策略。我们的特征的编码和解码功能,形成一个平衡,通过使用经验协调。均衡解与一个辅助博弈有关,在这个博弈中,双方都选择一些条件分布,以最大化他们的期望效用。这个问题与博弈论中关于“信息设计”的文献密切相关。我们还描述了与编码器和解码器之间的速率受限信道兼容的后验分布的集合。最后,我们提供了一个例子,对应于并行衰落多址信道的非对齐的效用函数。
英文摘要:
In this paper, we investigate the coordination of autonomous devices with non-aligned utility functions. Both encoder and decoder are considered as players, that choose the encoding and the decoding in order to maximize their long-run utility functions. The topology of the point-to-point network under investigation, suggests that the decoder implements a strategy, knowing in advance the strategy of the encoder. We characterize the encoding and decoding functions that form an equilibrium, by using empirical coordination. The equilibrium solution is related to an auxiliary game in which both players choose some conditional distributions in order to maximize their expected utilities. This problem is closely related to the literature on "Information Design" in Game Theory. We also characterize the set of posterior distributions that are compatible with a rate-limited channel between the encoder and the decoder. Finally, we provide an example of non-aligned utility functions corresponding to parallel fading multiple access channels.
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