We prove equilibrium existence in distributional strategies for a general class of multiprize contests, including contests with bid caps. Contests with bid caps violate the assumptions of Reny's (1999) equilibrium existence results as well as those of many other existence results. The equilibrium existence proof we provide for contests with bid caps refers to a special property of such contests, whereas the proof is much more straightforward for contests without a bid cap.
All Science Journal Classification (ASJC) codes
- Economics and Econometrics
- Applied Mathematics