Simulation and Cyclic Structures in the Multiplayer Lotto Game

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 Multiplayer Lotto Games. This new games allows agents to allocate their resources across a continuum of possible specializations. In order to explore the behavior of strategic agents of the Multiplayer Lotto game, we implement an agent-based model with replicator dynamics. The model simulation showed agent behavior different than what the Population Lotto Game would predict, and we propose the “small wave” hypothesis as the explanation. Namely, that “small battles” along the domain are beneficial to agents with lesser resources such that they perform better against richer agents than otherwise expected.