Department of Mathematics at Bar-Ilan University, Ramat Gan, Israel.
Faculty of Law, Head, Bar-Ilan University Multidisciplinary School for Environment and Sustainability, Bar-Ilan University, Ramat Gan, Israel.
PLoS One. 2024 Aug 19;19(8):e0308341. doi: 10.1371/journal.pone.0308341. eCollection 2024.
In this article we study the social dynamic of temporal partitioning congestion games (TPGs), in which participants must coordinate an optimal time-partitioning for using a limited resource. The challenge in TPGs lies in determining whether users can optimally self-organize their usage patterns. Reaching an optimal solution may be undermined, however, by a collectively destructive meta-reasoning pattern, trapping users in a socially vicious oscillatory behavior. TPGs constitute a dilemma for both human and animal communities. We developed a model capturing the dynamics of these games and ran simulations to assess its behavior, based on a 2×2 framework that distinguishes between the players' knowledge of other players' choices and whether they use a learning mechanism. We found that the only way in which an oscillatory dynamic can be thwarted is by adding learning, which leads to weak convergence in the no-information condition and to strong convergence in the with-information condition. We corroborated the validity of our model using real data from a study of bats' behaviour in an environment of water scarcity. We conclude by examining the merits of a complexity-based, agent-based modelling approach over a game-theoretic one, contending that it offers superior insights into the temporal dynamics of TPGs. We also briefly discuss the policy implications of our findings.
本文研究了时间划分拥挤博弈(TPG)的社会动态,其中参与者必须协调使用有限资源的最佳时间划分。TPG 的挑战在于确定用户是否可以最优地自我组织其使用模式。然而,一种集体破坏性的元推理模式可能会破坏达到最优解决方案的机会,使用户陷入社会恶性振荡行为。TPG 对人类和动物社区都是一个困境。我们开发了一个捕捉这些游戏动态的模型,并基于区分玩家对其他玩家选择的了解和他们是否使用学习机制的 2×2 框架,进行了模拟以评估其行为。我们发现,阻止振荡动态的唯一方法是添加学习,这导致在无信息条件下的弱收敛和在有信息条件下的强收敛。我们使用缺水环境中蝙蝠行为研究的真实数据来验证我们模型的有效性。最后,我们通过检查基于复杂性的基于代理的建模方法相对于博弈论方法的优点来结束讨论,认为它为 TPG 的时间动态提供了更好的见解。我们还简要讨论了我们发现的政策含义。