有关纳什均衡的题目Thetableshowsthedemandscheduleforticketstowatchamateurfootballmatchesinamediumsizedtown.Thelocalcouncilprovidesthestadium,andtheplayersplayforfreesothemarginalcostofprovidinggamesiszero

Question

有关纳什均衡的题目
The table shows the demand schedule for tickets to watch amateur football matches in a medium sized town. The local council provides the stadium, and the players play for free so the marginal cost of providing games is zero. The council has authorized two companies to provide football matches in two stadiums and the public considers the games in each stadium to be equivalent.
Price Quantity
€6 0
5 1000
4 2000
3 3000
2 4000
1 5000
0 6000

Refer to Figure 16-1. If the duopolists are unable to collude, how much profit will each earn when the market reaches a Nash equilibrium?
a.€8,000
b.€9,000
c.€2,500
d.€4,000
e.€4,500

正确答案D
忘了说了。我想要具体的解题过程。要完整。能解释得通的。

Answer 1

楼楼不是知道答案了么,是D
At beginning, they as monopoly, each gets profit: 1500*3=4500.
To make maximizing profit, each of they wants to have greater market shares, so one of them produces more to get profit: 2000*3=6000.
However, both of them produce 2000 units, the total is 4000 units, and now the market price falls to €2, so the profit of each is 2000*4=4500 now. Taht is, now the nash equilibrium is each of them produces 2000 units, and the profit is €4000(answer is D)