http://expertvoices.nsdl.org/cornell-info204/2008/05/02/a-nash-equilibrium-for-a-tennis-team-lineup/ This is a supplemental blog for a course which will cover how the social, technological, and natural worlds are connected, and how the study of networks sheds light on these connections. Sun, 22 Nov 2009 17:52:28 +0000 http://wordpress.org/?v=2.3.3 http://expertvoices.nsdl.org/cornell-info204/2008/05/02/a-nash-equilibrium-for-a-tennis-team-lineup/#comment-6463 The Game Theory of Stacking Matchups in Your Favor - Mind Your Decisions Tue, 16 Sep 2008 07:17:32 +0000 http://expertvoices.nsdl.org/cornell-info204/2008/05/02/a-nash-equilibrium-for-a-tennis-team-lineup/#comment-6463 [...] The Galveston County Daily News recently reported that several class 4A and 5A high school tennis teams in Texas have removed player numbering in their leagues. Dual team matches “will have the same win 10 individual matches, win the overall dual match concept, but with an added twist-no true lineup.” This new format creates the type of payoff matrix where [the random equilibrium] occurs. Assuming 10 slots for individual player matches, each can choose any combination of players to fill slots 1-10 but they do not know if the other coach is playing Sincere or using some other Insincere combination of players. Thus, there is no incentive with this game format except to randomly select players to fill up the 10 spots. [source] [...] […] The Galveston County Daily News recently reported that several class 4A and 5A high school tennis teams in Texas have removed player numbering in their leagues. Dual team matches “will have the same win 10 individual matches, win the overall dual match concept, but with an added twist-no true lineup.” This new format creates the type of payoff matrix where [the random equilibrium] occurs. Assuming 10 slots for individual player matches, each can choose any combination of players to fill slots 1-10 but they do not know if the other coach is playing Sincere or using some other Insincere combination of players. Thus, there is no incentive with this game format except to randomly select players to fill up the 10 spots. [source] […]

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