In this paper, we show that pure strategy Nash Equilibria in Prime Game and Expansive Game can be linked through an invertible mapping, with which the pure strategy Nash Equilibrium in Prime Game can be easily derived from Expansive Game. Our results provide a tool to solve pure strategy Nash...

In this paper, we study a large class of multi-contestant multi-battle resource allocation contests, where contestants can be asymmetric in terms of both resource budgets and battle valuations, battles can be heterogeneous in terms of both contest success functions and battle valuations, and the...

We study a class of multi-stage imperfectly discriminatory team contests with Blotto budgets and complete information. We fully characterize the pure strategy Nash equilibrium for this class of contests under certain basic assumptions, and show that in the two-stage case, there will be a unique...