参数化开源博弈 / Parametric Open Source Games
1️⃣ 一句话总结
这篇论文提出了一种参数化开源博弈的数学模型,将传统博弈中的程序策略替换为连续参数向量,并发现当玩家之间的参数耦合强度超过某个阈值时,原本追求自私优化的智能体可以在经典博弈中自发转向合作行为。
Open-source game theory studies agents whose behavior may depend on one another's decision procedures, but most existing models use discrete or symbolic programs. We introduce parametric open-source games, a continuous analogue of program equilibria in which players choose parameter vectors and semantics maps convert the full parameter profile into mixed actions in an underlying finite game. We establish equilibrium existence results, derive an exact coupling threshold at which selfish gradient ascent in symmetric $2\times2$ games switches from defection toward cooperation, and give a one-dimensional boundary test for parametric program Nash equilibria. We further extend the framework to a neural semantics class whose first-order cooperation condition is governed by the ratio of cross-player to self-player sensitivity. Across canonical games, the framework shows how access to internal parameterizations can qualitatively reshape learning dynamics and equilibrium structure, and how sufficiently strong open-source coupling can steer selfish optimization toward cooperative outcomes.
参数化开源博弈 / Parametric Open Source Games
这篇论文提出了一种参数化开源博弈的数学模型,将传统博弈中的程序策略替换为连续参数向量,并发现当玩家之间的参数耦合强度超过某个阈值时,原本追求自私优化的智能体可以在经典博弈中自发转向合作行为。
源自 arXiv: 2606.27068