Tonguc Rador , Bogazici University
Dynamics of Three-Agent Games
We study the dynamics and resulting score distribution of three-agent games where after each competition a single agent wins and scores a point. A single competition is described by a triplet of numbers p, t and q denoting the probabilities that the team with the highest, middle or lowest accumulated score wins. We study the full family of solutions in the regime, where the number of agents and competitions is large, which can be regarded as a hydrodynamic limit. Depending on the parameter values (p,t,q) we find six qualitatively different asymptotic score distributions and we also provide a qualitative understanding of these results