论文标题
人口乐透游戏中联盟和子联赛结构的出现
The Emergence of League and Sub-League Structure in the Population Lotto Game
论文作者
论文摘要
为了了解竞争性人类竞争中的配对竞争成果的结构是否以及如何限制竞争性人类竞争的结构，我们引入了新的多人游戏资源分配游戏《人口乐透》游戏。这个新游戏使代理商可以在可能的专业方面分配资源。尽管该游戏允许玩家之间的非传递循环，但我们表明，游戏的NASH平衡还基于其不同的资源预算，在离散的“联赛”之间形成了层次结构，并具有潜在的子联赛结构和/或单个联盟内部的非交易性周期。我们提供了一种算法，该算法可以为任何有限的离散子人口大小和预算找到特定的NASH均衡。此外，我们的算法找到了独特的NASH平衡，该平衡对于预算低于任何阈值的球员的子集保持稳定。
In order to understand if and how strategic resource allocation can constrain the structure of pair-wise competition outcomes in competitive human competitions we introduce a new multiplayer resource allocation game, the Population Lotto Game. This new game allows agents to allocate their resources across a continuum of possible specializations. While this game allows non-transitive cycles between players, we show that the Nash equilibrium of the game also forms a hierarchical structure between discrete `leagues' based on their different resource budgets, with potential sub-league structure and/or non-transitive cycles inside individual leagues. We provide an algorithm that can find a particular Nash equilibrium for any finite set of discrete sub-population sizes and budgets. Further, our algorithm finds the unique Nash equilibrium that remains stable for the subset of players with budgets below any threshold.
