Teamwise Mean Field Competitions

This paper studies competitions with rank-based reward among a large number of teams. Within each sizable team, we consider mean-field contribution game in which team member contributes to the jump intensity common Poisson project process; across all teams, mean field competition is formulated on rank completion time, namely time process, and paid based its ranking. On layer teamwise game, three optimization problems are introduced when size determined by: (i) manager; (ii) central planner; (iii) members’ voting as partnership. We propose relative performance criteria for share team’s formulate some special cases games games, new literature. In homogeneous parameters, equilibrium control worker or optimal can be computed an explicit manner, allowing us analytically examine impacts model parameters discuss their economic implications. Two numerical examples also presented illustrate parameter dependence comparison between different decision making.