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1. (Dominated Strategies) Find strictly dominant strategy, strictly dominated strategy, weakly dominant strategy, and weakly dominated...
Iterated Iterated elimination of dominated strategies: Eliminate all strictly (weakly) dominated strategies for all players in...
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...
Exercise 4 - Pure strategies that are only strictly dominated by a mixed strategy Consider the...
Exercise 4 - Pure strategies that are only strictly dominated by a mixed strategy Consider the following normal form game Player 2 Left Right Player 1 4,1 Down 13 12 b) Is there some strictly dominated strategy for player 1 when mixed strategies are allowed? [Hint: 0,2 4,1 Middle0,0 a) c) d) Is there some strictly dominated strategy for player 1 involving only the use of pure strategies? you may assign probabilities to two of her strategies, similarly as we...
Which strategy or strategies are strictly dominated, and which one is weakly dominated? A. Gun &...
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
4. [20] Answer the following. (a) (5) State the relationship between strictly dominant strategies solution and...
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...
survive 1.2. In the following normal-form game, what strategies survive iterated elimination of strictly dominated strategies?...
survive 1.2. In the following normal-form game, what strategies survive iterated elimination of strictly dominated strategies? What are the pure-strategy Nash equilibria? of strictly dominated L CR T 2,0 1,14,2 M 3,4 1,2 2,3 B 1,30,2 3,0
Which strategy or strategies are strictly dominated, and which one is weakly dominated? A.Gun & Show...
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...
Problem #3: Strictly dominated and non-rationalizable strategies (6 pts) Below, there are three game tables. For...
Problem #3: Strictly dominated and non-rationalizable strategies (6 pts) Below, there are three game tables. For each one, identify which strategies are non-rationalizable (if any), and which strategies are strictly dominated (if any). Do this for both players in each game. Note: You don't need to use IESDS or IENBR in this problem: I only want to know which strategies are strictly dominated or non-rationalizable in the games as presented. Rogers Go Rogue Go Legit 2,3 3,4 3,2 5,1 3,1...
(4) Using the Iterated elimination of (weakly) dominated strategy method, find all dom- inant strategy solutions...
(4) Using the Iterated elimination of (weakly) dominated strategy method, find all dom- inant strategy solutions of the following games P2 P2 L R Game 1: T 1,1 5,0 P M 5,5 3,4 B 4,2 2,3 L C R Game 2: T 0,4 5,-1 6,1 Pt M 5,-1 0,4 6,1 B |2,5 |2,5 |8,6
) Solve the game below by iterated elimination of strongly dominated strategies (Hint: One of the...
) Solve the game below by iterated elimination of strongly dominated strategies (Hint: One of the pure strategies for player 1 is strongly dominated by a mixed strategy). At each step of the elimination, state which pure strategy you are eliminating and which strategy (there can be more than one; just state one) it is strongly dominated by. X Y Z A 5,-2 0,1 6,0 B 2,8 2,3 1,4 C 0,0 7,1 -2,0
Q1 Elimination of strictly-dominated strategies In each of the following two-player games, what strategies survive iterated...
Q1 Elimination of strictly-dominated strategies In each of the following two-player games, what strategies survive iterated elimination of strictly- dominated strategies? What are the Nash equilibria of these games? (a) Player 2 Left 0,2 1,3 2,4 Top Middle Bottom Center 4,3 2,4 1,5 Right 3, 4 2, 3 4,6 Player 1 (b) Player 2 Left 2,4 3,3 4,6 Top Middle Bottom Center 6,5 4,3 5,4 Player 1 Right 5,3 4, 2 2,5
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...
Exercise 4 - Pure strategies that are only strictly dominated by a mixed strategy Consider the following normal form game Player 2 Left Right Player 1 4,1 Down 13 12 b) Is there some strictly dominated strategy for player 1 when mixed strategies are allowed? [Hint: 0,2 4,1 Middle0,0 a) c) d) Is there some strictly dominated strategy for player 1 involving only the use of pure strategies? you may assign probabilities to two of her strategies, similarly as we...
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
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...
survive 1.2. In the following normal-form game, what strategies survive iterated elimination of strictly dominated strategies? What are the pure-strategy Nash equilibria? of strictly dominated L CR T 2,0 1,14,2 M 3,4 1,2 2,3 B 1,30,2 3,0
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...
Problem #3: Strictly dominated and non-rationalizable strategies (6 pts) Below, there are three game tables. For each one, identify which strategies are non-rationalizable (if any), and which strategies are strictly dominated (if any). Do this for both players in each game. Note: You don't need to use IESDS or IENBR in this problem: I only want to know which strategies are strictly dominated or non-rationalizable in the games as presented. Rogers Go Rogue Go Legit 2,3 3,4 3,2 5,1 3,1...
(4) Using the Iterated elimination of (weakly) dominated strategy method, find all dom- inant strategy solutions of the following games P2 P2 L R Game 1: T 1,1 5,0 P M 5,5 3,4 B 4,2 2,3 L C R Game 2: T 0,4 5,-1 6,1 Pt M 5,-1 0,4 6,1 B |2,5 |2,5 |8,6
Q1 Elimination of strictly-dominated strategies In each of the following two-player games, what strategies survive iterated elimination of strictly- dominated strategies? What are the Nash equilibria of these games? (a) Player 2 Left 0,2 1,3 2,4 Top Middle Bottom Center 4,3 2,4 1,5 Right 3, 4 2, 3 4,6 Player 1 (b) Player 2 Left 2,4 3,3 4,6 Top Middle Bottom Center 6,5 4,3 5,4 Player 1 Right 5,3 4, 2 2,5
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