5. [20] Consider a contest where two contestants, i E (1,2), compete for a prize worth...
5. [20] Consider a contest where two contestants, i E (1,2), compete for a prize worth v (in utility terms). The probability of contestant i wining the compe- P(a, ea) = el + e2, where e is the effort exerted by contestant i. The losing contestant gets nothing. The (utility) cost of effort is cfe) et. Thus, contestant i's payoff tition is is given by (a) [8] Find the symmetric Nash equilibrium effort level. (b) 14] Given an interpretation of...
5. [20] Consider a contest where two contestants, i e (1,2), compete for a prize worth v (in utility terms). The probability of contestant i wining the compe- P(e1,e2)2 where es is the effort exerted by contestant i. The losing contestant gets tition is ei nothing, The (utility) cost of effort is c(e) = e[. Thus, contestant i's payoff is given by (a) 18] Find the symmetric Nash equilibrium effort level. (b) (4] Given an interpretation of r. Give an...
1. Jacob and William, two equally talented athletes, expect to compete for the county championship in the 400-meter hurdles in the up-coming season. Each plans to train hard, putting in several hours per week. We will use the Tullock model to describe their behavior. For each athlete, the winning is worth 24 hours per week, so we measure the prize as 24 hours. The cost of an hour of effort is, of course, one hour. The probability is as described...
Styles aragraph equally talented athletes, expect to compete for the county championship in 1. Jacob and William, two the 400-meter hurdles in the up-coming season. Each plans to train hard, putting in several hours per week. We will use the Tullock model to describe their behavior. For each athlete, the winning is worth 24 hours per week, so we measure the prize as 24 hours. The cost of an hour of effort is, of course, one hour. The probability is...