一个新兴游戏的故事:在动态非定向超图中形成意见
Yakun Wang1, Yuan Liu1,2, Bin Wu1
1School of Mathematical Sciences, Beijing University of Posts and Telecommunications, Beijing 100876, China.
Chaos (Woodbury, N.Y.)
|August 1, 2025
概括
我们在动态超图中介绍了意见动态的选民模型,揭示了高阶交互与双向网络的区别. 这个框架将意见形成与多人游戏联系起来,为社会动态提供了新的见解.
科学领域:
- 复杂的系统复杂的系统.
- 社交网络分析 社交网络分析
- 游戏理论 游戏理论
背景情况:
- 论动态研究传统上侧重于对互动,忽视了复杂的,高阶的社会结构.
- 动态超图为高阶社会互动提供了更现实的模型,但对分析意见动态提出了独特的挑战.
研究的目的:
- 系统地了解超图和传统网络中意见动态之间的内在差异.
- 建立一个理论框架,将动态超图中的意见形成与多人游戏理论联系起来.
主要方法:
- 开发一个专门为动态超图设计的选民模型.
- 通过多人游戏的透视来分析意见形成和暂时拓.
- 纳什平衡分析,以区分高阶相互作用和双向相互作用.
- 模拟以验证理论发现并评估超越快速重新布线的稳定性.
主要成果:
- 在快速发展的超图中,意见形成和网络拓可以在单一的多人游戏模式下统一.
- 纳什平衡分析揭示了高阶 (超图) 与双向 (网络) 相互作用中的意见动态之间的基本区别.
- 理论结果表明,即使超图进化偏离了快速重新布线假设,理论结果也显示了稳定性.
结论:
- 游戏理论方法为理解复杂,高阶社会系统中的意见动态提供了一个强大的途径.
- 这项工作揭示了关于动态超图的意见形成和多人游戏的原则之间的重要,以前隐藏的联系.
- 这些发现为模拟社会影响力和在动态,多个代理环境中传播意见提供了新的视角.
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