I want to find nash equilibrium in congestion game. Consider a network with source s and sink t, they are connected by 2 edges e1 and e2. Latency function are x in e1 and 1 in e2. I look at the answer, and it is said that by sending flow 1 unit through e1 and no flow through e2, we have Nash equilibrium. But I am sooo confused why this flow is equilibrium. Is it because we shall have same cost either go from e1 or e2?
Help me please...10 points for best answer!!!
Help me please...10 points for best answer!!!