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

Exploring Economics

8th Edition

ISBN:9781544336329

Author:Robert L. Sexton

Publisher:Robert L. Sexton

Chapter2: Economics: Eight Powerful Ideas

Section: Chapter Questions

Problem 19P

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Suppose the National Football League (NFL) wants to make Super Bowl tickets affordable for more football fans. The league therefore sets the price of a Super Bowl ticket below what is generally considered a fair market price. Suppose the price of a ticket for a regular seat at the Super Bowl is set at just $500. People who have tickets, however, can turn resell them online for $2,500 each, or more. If there are no transaction costs associated with online sales of Super Bowl tickets, the true cost to a fan of attending the Super Bowl is:
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