2) Distinguish between a Strictly Dominant Strategy and a Weakly Dominant Strategy. A concise definition will suffice.
2) Distinguish between a Strictly Dominant Strategy and a Weakly Dominant Strategy. A concise definition will...
1. (Dominated Strategies) Find strictly dominant strategy, strictly dominated strategy, weakly dominant strategy, and weakly dominated strategy of the following two games("None" may be an answer). Do not forget to discuss about mixed strategies too. (a) (Keio and Waseda) Player 2 K E O Wa 6,1 2,3 0,2 Player 1 Se 3,00,0,0 Da 2,0 1,2 01 b) (NHK BS) Player 2 BS N 41 0,2 Player 1 H 0,0 4,0 Problems 6 and 7 are in the next pages
Player 2 I A Player 1 I 2,1 0,0 0,0 1,2 A Find the Nash equilibria of this game by considering all possibilities. Explain your answer fully. Does the game depicted below have a Nash equilibrium? Why or why not? Player X Y Player 1 X 2,1 1,2 1,2 2,1 Y 2) Distinguish between a Strictly Dominant Strategy and a Weakly Dominant Strategy. A concise definition will suffice.
Carefully explain the difference between a strategy (call it X) being strictly dominant over another strategy (call it Y), and a strategy being strictly dominated by another strategy. Also explain how weak dominance differs from strict dominance.
Which strategy or strategies are strictly dominated, and which
one is weakly dominated?
A.
Gun & Show
B.
Gun & Hide
C.
No Gun
D.
RR
E.
RN
F.
NR
G.
NN
H.
None of the strategies are strictly dominated
Mugger Gun & show No gun Gun & hide Simon Simon Do not resist Do not resist Do not resist Resist Resist Resist Mugger 34 Simon 2 3 5 2 6 5 2 4 6 3
Explain why it is a weakly dominant strategy to bid your value in a sealed bid second price auction with independent private values ? Game Theory / Microeconomics
Explain why it is a weakly dominant strategy for you to show up for both of your midterms, even if you have not studied at all. [Remember, I drop your worst midterm and replace it with the grade you receive on your final, provided this helps you.]
Which strategy or strategies are strictly dominated, and which
one is weakly dominated?
A.Gun & Show
B.Gun & Hide
C.No Gun
D.RR
E.RN
F.NR
G.NN
H.None of the strategies are strictly dominated
imon Resist if see gun, resist If don't see gun (RR) Resist If see gun, don't resist if don't see gun (RN) Don't resist if see gun, resist If don't see gun (NR) Don't resist If see gun, don't resist if don t see gun (NN Gun Show...
Iterated
Iterated elimination of dominated strategies:
Eliminate all strictly (weakly) dominated strategies for all
players in the original game.
Eliminate all strictly (weakly) dominated strategies for all
players in the modified game where players cannot choose any
strategy that was eliminated at Step 1.
3 Eliminate all strictly (weakly) dominated strategies for all
players in the modified game where players cannot choose any
strategy that was eliminated at Steps 1 and 2.
4 ...
and so on until there are...
4. [20] Answer the following. (a) (5) State the relationship between strictly dominant strategies solution and iterated elimination of strictly dominated strategies solution. That is, does one solution concept imply the other? (b) (5) Consider the following game: player 2 E F G H A-10,6 10.0 3,8 4.-5 player 1 B 9,8 14,8 4.10 2,5 C-10,3 5,9 8.10 5,7 D 0,0 3,10 8,12 0,8 Does any player have a strictly dominant strategies? Find the strictly dominant strategies solution and the...
Question 1: Explain why it is a weakly dominant strategy for you to show up for both of your midterms, even if you have not studied at all. [Remember, I drop your worst midterm and replace it with the grade you receive on your final, provided this helps you.]