help game theory thx

3. Consider the following two point two edge network (also called Pigou network.) 3(30) s t C Figure 1: The latency of the top edge is given by a continuous non-decreasing function ((33) and the bottom edge has constant latency c. 1. Write down all Nash equilibria and an expression for the POA as functions of Z(-) and c. 2. Given (~), what is the minimum value of c that guarantees that in the NE the entire ow uses the top edge