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[教与学] 纳什均衡习题 [推广有奖]

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楼主
No3676671 发表于 2014-8-4 19:50:21 |AI写论文

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本帖隐藏的内容

http://www2.owen.vanderbilt.edu/mike.shor/courses/game-theory/quiz/quiz1.html
Finding Nash EquilibriaQuestion 1.
Player 2
XY
Player 1A10 , 1015 , 5
B 5 , 1512 , 12
What is the equilibrium of the above game?
A,X
B,X
A,Y
B,Y
Question 2.
Player 2
XY
Player 1A0 , 00 , 1
B2 , 00 , 0
What is/are the equilibrium/equilibria of the above game?
B,X only
A,Y and B,X
A,Y; B,X; and B,Y
none
Question 3.
Player 2
XYZ
Player 1A 6 , 6 8 , 20 0 , 8
B10 , 0 5 , 5 2 , 8
C 8 , 020 , 0 4 , 4
What is the unique equilibrium of the above game?
B,Y
C,Z
A,X
A,Y
Question 4.
Player 2
RockPaperScissors
Player 1Rock 0 , 0-1 , 1 1 , -1
Paper 1 , -1 0 , 0-1 , 1
Scissors-1 , 1 1 , -1 0 , 0
How many equilibria (in pure strategies) does the above game have?
9
3
1
0
Question 5.Two firms are involved in developing a new technology that will allow consumers to taste food over the Internet. This has potential, for example, in restaurant promotion. Given the risks and the relatively small expected size of this market, compatibility of the technologies is very important. FirmDigiTaste is far advanced in developing its RemoteTaste technology. WebOdor has been expanding into the Internet taste arena with its incompatible product, BitterWeb. The two companies agree that if they both adopt the same technology, they each may gross $200M from the developing industry. If they adopt different technologies, consumers will make fun of both companies, and purchase neither product, leading to a gross of $0. Retooling one's factory to make the competing (nonproprietary) technology would cost WebOdor $100M and DigiTaste $250M. By the wave of an economist's wand, their production decisions must be made simultaneously.Set up the above scenario as a normal form (simultaneous) game.
What is the equilibrium outcome?
Both adopt RemoteTaste
Both adopt BitterWeb
DigiTaste adopts RemoteTaste and WebOdor adopts BitterWeb
WebOdor adopts RemoteTaste and DigiTaste adopts BitterWeb






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关键词:纳什均衡 SIMULTANEOUS Technologies equilibrium Proprietary 纳什

沙发
No3676671 发表于 2014-8-4 19:51:18
关于纳什均衡的选择题

藤椅
943689135 学生认证  发表于 2014-8-4 20:12:37
要回复才能看到??

板凳
943689135 学生认证  发表于 2014-8-4 20:20:29
1、AX;2、AY,BX;3、CZ;4、0

报纸
No3676671 发表于 2014-8-4 20:35:46
943689135 发表于 2014-8-4 20:20
1、AX;2、AY,BX;3、CZ;4、0
第二题为什么不多选BY呢

地板
943689135 学生认证  发表于 2014-8-4 20:44:05
No3676671 发表于 2014-8-4 20:35
第二题为什么不多选BY呢
不好意思看错了,要选的

7
No3676671 发表于 2014-8-4 21:17:37
最后一个选Both adopt RemoteTaste

8
andreawzy 学生认证  发表于 2022-10-22 13:47:38
支持支持支持

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