SSRN Author: Alex SuzdaltsevAlex Suzdaltsev SSRN Content
http://www.ssrn.com/author=1580543
http://www.ssrn.com/rss/en-usWed, 16 Sep 2015 01:06:05 GMTeditor@ssrn.com (Editor)Wed, 16 Sep 2015 01:06:05 GMTwebmaster@ssrn.com (WebMaster)SSRN RSS Generator 1.0REVISION: Seeding, Competitive Intensity and Quality in Knock-Out TournamentsBefore a knock-out tournament starts, the participants are assigned to positions in the tournament bracket through a process known as seeding. There are many ways to seed a tournament. In this paper, we solve a discrete optimization problem of finding a seeding that maximizes spectator interest in a tournament when spectators are interested in matches with high competitive intensity (i.e., matches that involve teams comparable in strength) and high quality (i.e., matches that involve strong teams). We find a solution to the problem under two assumptions: the objective function is linear in quality and competitive intensity and a stronger team beats a weaker one with sufficiently high probability. It turns out that, depending on parameters, only two special classes of seedings can be optimal. While one of the classes includes a seeding that is often used in practice, the seedings in the other class are very different. When we relax the assumption of linearity, we find that these ...
http://www.ssrn.com/abstract=2580823
http://www.ssrn.com/1423581.htmlThu, 27 Aug 2015 12:52:32 GMTREVISION: Seeding, Competitive Intensity and Quality in Knock-Out TournamentsWhat is the optimal way to seed a knock-out tournament in order to maximize the overall spectator interest in it? Seeding affects the set of matches being played in the tournament, while neutral spectators tend to prefer to watch (i) close and intense matches; (ii) matches that involve strong teams. We formulate a discrete optimization problem that takes into account both these effects for every match of the tournament. With deterministic outcomes and linear objective function, we solve this problem analytically for any number of participants. It turns out that, depending on parameters, only two special classes of seedings can be optimal. While one of the classes includes a seeding that is often used in practice, the seedings in the other class are very different. When we relax the assumptions, we find that these classes of seedings are in fact optimal in a sizable number of cases.
http://www.ssrn.com/abstract=2580823
http://www.ssrn.com/1382956.htmlSat, 21 Mar 2015 04:46:00 GMT