Find the mixed-strategy equilibrium to the Battle of the sexes game in Figure 5.1 below
Hockey game |
Ballet |
|
Hockey game |
3,1 |
0,0 |
Ballet |
0,0 | 1,3 |
Figure 5.1 |
Find the mixed-strategy equilibrium to the Battle of the sexes game in Figure 5.1 below Hockey...
13. (Battle of the Sexes) A boy and a girl secretly like each other. However, they do not have the chance to introduce themselves. And asking for a “stranger's" phone number is not only embarrassing but also likely to offend people. In short, they like each other too much to screw this opportunity. Fortunately, they have a common knowledge that the boy likes to watch football games and the girl likes to watch operas every Sunday. If they happen to...
Bob Ballet Alice Ballet Soccer 2,1 Soccer 0,0 1,2 0,0 Question 9a: In the above game (i.e., the battle of the sexes), find the Nash Equilibrium(s). Question 9b: What limitation of Nash Equilibriums is demonstrated by the above game.
Find all mixed strategy Nash Equilibria of the following game: X Y Z A 2,2 4,0 1,3 B 1,3 6,0 1,0 C 3,1 3,3 2,2
11 Marks] QUESTION 15 Consider the following simultaneous move game, a variant of the Battle-of-the-Sexes game: Mouse Milk Cheese Milk 5, 2 Cat 2, 2 Cheese 0, 0 2, 5 Assume both players play mixed strategies. Derive each player's best response rules using a graph of that player's expected payoffs against the other player's mixed strategy. [5] 15.2 11 Marks] QUESTION 15 Consider the following simultaneous move game, a variant of the Battle-of-the-Sexes game: Mouse Milk Cheese Milk 5, 2...
Consider the payoff matrix for the "Battle of the Sexes" game captured in Table 2.3 from Microeconomics for MBAs: The Economic Way of Thinking for Managers. The Battle of the Sexes Tom Doris Star Wars Marsha Doris 100 75 60 60 Star Wars -40 -40 75 100 According to this information, Marsha's best strategy in this game (as defined solely by the indicated payoffs) is to Select one: a. ask Tom to go with her to see "Hello, my name...
Find all of the pure and mixed strategy Nash equilibrium of the following game: Top 2 Center Right 2,1 8,8 6,5 2,7 2.2 Left 5,10 3,7 2,5 1 Middle Bottom Figure 1: A Random Game
Find all of the pure and mixed strategy Nash equilibrium of the following game: Left 5,10 3.7 2,5 Top 1 Middle Bottom 2 Center Right 4,4 8.8 6.5 2,7 2,2 2,1 Figure 1: A Random Game
(ECONOMICS OF STRATEGY, GAME THEORY) QUESTIONS PLEASE ANSWERR Find the mixed strategy NASH EQUILIBRIUM of the following game. Also calculate each player's EXPECTED PAY OFF. P1\P2LR 3,5 1,2 D 2,1 6,4
Consider the following battle of sexes. Y1 Y2 X1 3,2 1,1 X2 0,0 2,3 (a) Find Minmax payoff values and plot the set of feasible payoffs. (b) Which is the highest symmetric average payoff that can be sustained in the infinitely repeated game?
a) Eliminate strictly dominated strategies.b) If the game does not have a pure strategy Nash equilibrium,find the mixed strategy Nash equilibrium for the smaller game(after eliminating dominated strategies). Player 2Player 1abcA4,33,22,4B1,35,33,3