论文标题

贝叶斯网络拥塞游戏中的信号传递:对称的微妙力量

Signaling in Bayesian Network Congestion Games: the Subtle Power of Symmetry

论文作者

Castiglioni, Matteo, Celli, Andrea, Marchesi, Alberto, Gatti, Nicola

论文摘要

网络拥堵游戏是多代理战略互动的一个很好理解的模型。尽管它们的应用程序无处不在,但尚不清楚是否可以设计信息结构来改善网络用户的整体体验。我们专注于具有原子玩家的贝叶斯游戏,其中通过(随机)自然状态建模网络变化,该状态决定了玩家所产生的成本。第三方实体---发送者可以观察到网络的已实现状态,并利用此附加信息将信号发送给每个播放器。一个自然的问题是以下问题:知情的发件人是否有可能通过为合理地更新信念的参与者通过战略性提供信息来降低整体社会成本?该论文着重于计算最佳的Exant有说服力信号方案的问题,表明对称性是其解决方案的关键特性。实际上,我们表明,当玩家对称并具有仿射成本功能时,可以在多项式时间内计算出最佳的Exant有说服力的信号传导方案。此外,即使在非生庭环境中,当玩家不对称时,问题就会变得NP-HARD。

Network congestion games are a well-understood model of multi-agent strategic interactions. Despite their ubiquitous applications, it is not clear whether it is possible to design information structures to ameliorate the overall experience of the network users. We focus on Bayesian games with atomic players, where network vagaries are modeled via a (random) state of nature which determines the costs incurred by the players. A third-party entity---the sender---can observe the realized state of the network and exploit this additional information to send a signal to each player. A natural question is the following: is it possible for an informed sender to reduce the overall social cost via the strategic provision of information to players who update their beliefs rationally? The paper focuses on the problem of computing optimal ex ante persuasive signaling schemes, showing that symmetry is a crucial property for its solution. Indeed, we show that an optimal ex ante persuasive signaling scheme can be computed in polynomial time when players are symmetric and have affine cost functions. Moreover, the problem becomes NP-hard when players are asymmetric, even in non-Bayesian settings.

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