Question: solve in 60 mins thanks Problem 1 ( 20 points). Let dN be fixed. Consider the class of monomial latency functions of degree d with

solve in 60 mins thanks Problem 1 ( 20 points).

solve in 60 mins thanks

Problem 1 ( 20 points). Let dN be fixed. Consider the class of monomial latency functions of degree d with non-negative coefficients, i.e., Md={f:R0R0:f(x)=qxd,whereq0} Derive a tight bound on the price of anarchy for selfish routing games with latency functions (a)aAMdA. (Hint: The bound of Theorem 1.7 in the Lecture Notes is not tight in this case.)

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