Resource allocation in adversarial environments is a fundamental challenge across various domains, from corporate competition to military strategy. This article examines the impact of compromising an opponent's strategic intent in the context of General Lotto games, a class of resource allocation problems. We consider a scenario where one player, termed the "Breaker", has access to partial information about their opponent's strategy through a binary sensor. This sensor reveals whether the opponent's allocated resources exceed a certain threshold. Our analysis provides a comprehensive characterization of equilibrium strategies and payoffs for both players under this information structure. Through numerical studies, we demonstrate that the information provided by the sensor can significantly improve the Breaker's performance.
翻译:敌对环境中的资源分配是从企业竞争到军事战略等各个领域面临的根本性挑战。本文在广义洛托博弈(一类资源分配问题)的背景下,研究了妥协对手战略意图的影响。我们考虑这样一种场景:其中一名玩家(称为"破坏者")通过一个二元传感器获取关于对手策略的部分信息。该传感器揭示对手分配的资源是否超过某个阈值。我们的分析为此信息结构下双方玩家的均衡策略与收益提供了全面的刻画。通过数值研究,我们证明了传感器提供的信息能显著提升破坏者的表现。