Individual Incentives within Team Competitions
This paper develops a theoretical model to show the effects of simultaneously having both a competition between groups and one among the individuals of a tournament. The players are divided up among teams and compete for a at bonus for winning the team competition. At the same time, their efforts also determine if they will win another at bonus from winning the individual game among all the tournament's players. With the use of a specifc team produc- tion function demonstrating substitution among the player's efforts, the individual award seems to garner more overall group output than the group award. Under a specifc production function demonstrat- ing complementary efforts, players seem to be indifferent between the group and individual award. Lastly, a general production function that incorporates a variable measuring the degree of substitution was analyzed. The analysis showed that an individual award was benefcial to increasing overall team effort. The results imply that the payment scheme should be structured in a way that allocates larger individual rewards when the team efforts are more substitutable.
DescriptionHonors thesis, Department of Mathematics
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Rights for Collection: Undergraduate Honors Theses and Student papers