“…Tournaments are prevalent in many areas of life, including labor markets (Lazear and Rosen, 1981;Prendergast, 1999), political races (Klumpp and Polborn, 2006), R&D (Harris and Vickers, 1985;Zizzo, 2002;Breitmoser et al, 2010), rent seeking (Tullock, 1980;Gradstein and Konrad, 1999), and sports (Rosen, 1986;Szymanski, 2003;Harbaugh and Klumpp, 2005). In this paper, we focus on the round-robin tournaments in which every player or team competes against all the others, and in every stage a player plays a pairwise match against a different opponent.…”