2022/08/31 by Giovanni Artiglio, Artiglio, Giovanni, Aiden Youkhana +3
Decision Sciences · Social Sciences · #Computer Science and Game Theory (cs.GT) #Evolutionary Game Theory and Cooperation #Experimental Behavioral Economics Studies #FOS: Computer and information sciences #FOS: Economics and business #Game Theory and Applications #Theoretical Economics (econ.TH)
paper · pdf · doi:10.48550/arxiv.2209.00143
openalex publication_date 2022/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.