In this paper we present a Contest Sucess Function (CSF) which is homogeneous of degree zero and where the probabilities of winning the prize depend on the relative difference of efforts. With two agents, we present a necessary and sufficient condition for the existence of a Nash Equilibrium in...

In the literature the outcome of contests is either interpreted as win probabilities or as shares of the prize. With this in mind, we examine two approaches to contest success functions. In the first we analyze the implications of contestants' incomplete information concerning the 'type' of the...

This survey presents in a historical way the main contributions to the hardcore theory of aggregative games and the applications of this model to several fields of economics, other social sciences and engineering