1. Road construction is going on Riccarton Road. 100 Uber drivers want to drop their passengers at the airport. Each driver is deciding whether to take Riccarton Road or take Blenheim Road. The cost of travelling through Riccarton Road is $10 (additional fuel required due to slow traffic), while the Blenheim Road route has a low fuel cost (theoretically let's assume $0) but takes more time to reach the airport. In deciding on a route, each driver cares only about income, denoted i, and his travel time, denoted t (where we have made the dollar value of one unit of travel time equal to 1). Driver's payoff is assumed to be his/ her profit (income - cost of travelling, including travel time). Assume that each driver has same income of $500. If m drivers are on Riccarton Road, the travel time for a driver on Riccarton Road is assumed to be m (in dollars). In contrast, if m drivers take Blenheim Road, the travel time for those on the Blenheim Road is 2m (again, in dollars). Drivers make simultaneous decisions as to whether to take the Riccarton Road route or the Blenheim Road route. a. Derive each player's payoff function ( b. Find a Nash Equilibrium

1. Road construction is going on Riccarton Road. 100 Uber drivers want to drop their passengers at the airport. Each driver is deciding whether to take Riccarton Road or take Blenheim Road. The cost of travelling through Riccarton Road is $10 (additional fuel required due to slow traffic), while the Blenheim Road route has a low fuel cost (theoretically let's assume $0) but takes more time to reach the airport. In deciding on a route, each driver cares only about income, denoted i, and his travel time, denoted t (where we have made the dollar value of one unit of travel time equal to 1). Driver's payoff is assumed to be his/ her profit (income - cost of travelling, including travel time). Assume that each driver has same income of $500. If m drivers are on Riccarton Road, the travel time for a driver on Riccarton Road is assumed to be m (in dollars). In contrast, if m drivers take Blenheim Road, the travel time for those on the Blenheim Road is 2m (again, in dollars). Drivers make simultaneous decisions as to whether to take the Riccarton Road route or the Blenheim Road route. a. Derive each player's payoff function ( b. Find a Nash Equilibrium

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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