No Perfect Draft Matching
The world of professional sports involves many different types of matching. In particular, the NBA Draft process deals with multiple teams and many skilled players competing for spots on these teams. The way the draft lottery operates is that the team with the worst record of the previous season, the team with most losses and least wins, receives the priority in picking new players for their roster. In the same way, the teams with the better records would have less chances of picking higher ranked players to join their team rosters. In this process, the NBA attempts to bring newer and more talented and skilled players to less successful teams in order to maintain the competition amongst the teams in the league.
This form of matching players with teams can be analyzed with a bipartite graph with matching, as we have discussed and examined in class. The teams and draft players are essentially matched up, but in this case there are not the same number of nodes on the left and right sides of the graph. In other words, there are not the same number of open positions on teams as there are number of draft players vying for a roster position. Therefore, there is not a perfect matching scenario here and there exists multiple definite constricted sets that prove the process cannot have perfect matching. Players who do not get drafted onto teams are either placed in the NBA Development League or withdraw and search for other opportunities for themselves. Therefore, we can see that in society there are so many instances of non-perfect matching whether it be for jobs, college applications, or in the sports world, that demonstrate the challenges of matching in the real world.
http://www.nba.com/news/draft/nba-draft-lottery-what-will-happen-2016/