Estimation With Strategic Sensors
Estimation With Strategic Sensors
复制标题
使用战略传感器进行估计
DOI：
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发表时间：
2014
影响因子：
6.8
通讯作者：
Cédric Langbort
中科院分区：
文献类型：
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作者：
F. Farokhi;André Teixeira;Cédric Langbort
我们引入了一个模型的存在下的战略，自我利益的传感器的估计。我们采用博弈论的设置来模拟传感器和接收器之间的相互作用。接收方的代价函数等于估计误差方差，而传感器的代价函数包含由其私有信息确定的额外项。我们从单个传感器的情况开始，在这种情况下，接收器除了接收由战略传感器发送的消息之外，还可以获得嘈杂但诚实的辅助信息。我们研究静态和动态估计问题。对于这两个问题，我们刻画了一个家庭的平衡，其中传感器和接收器采用简单的策略。有趣的是，对于动态估计问题，我们发现了一个均衡，其中战略传感器使用无记忆的政策。我们将静态估计设置推广到具有同步通信结构的多个传感器（即，所有传感器同时发送它们的消息）。我们证明了一个可能令人惊讶的事实，即对于仿射策略中的构造均衡，估计质量随着传感器数量的增加而降低。然而，如果传感器是聚集的（即，复制彼此的策略），接收器的估计的质量随着传感器数量的增加而提高。最后，我们考虑异步通信结构（即，传感器顺序地发送它们的消息）。
We introduce a model of estimation in the presence of strategic, self-interested sensors. We employ a game-theoretic setup to model the interaction between the sensors and the receiver. The cost function of the receiver is equal to the estimation error variance while the cost function of the sensor contains an extra term which is determined by its private information. We start by the single sensor case in which the receiver has access to a noisy but honest side information in addition to the message transmitted by a strategic sensor. We study both static and dynamic estimation problems. For both these problems, we characterize a family of equilibria in which the sensor and the receiver employ simple strategies. Interestingly, for the dynamic estimation problem, we find an equilibrium for which the strategic sensor uses a memory-less policy. We generalize the static estimation setup to multiple sensors with synchronous communication structure (i.e., all the sensors transmit their messages simultaneously). We prove the maybe surprising fact that, for the constructed equilibrium in affine strategies, the estimation quality degrades as the number of sensors increases. However, if the sensors are herding (i.e., copying each other policies), the quality of the receiver’s estimation improves as the number of sensors increases. Finally, we consider the asynchronous communication structure (i.e., the sensors transmit their messages sequentially).