In many contests, a participant’s choices can influence the value of the prize on offer. However, in the standard contest model, the value of the prize is exogenous and participants have discretion only over the effort they exert. This paper proposes a new type of N -player contest in which...

We study contests in which the prize depends on the number of participants, and show that equilibrium effort can be increasing, decreasing, or non-monotonic in the number of participants. This contrasts with the standard result for contests with fixed prizes in which effort is decreasing in the...