A pure strategy pair (i. j) is in equilibrium if and only if the corresponding element tij is both the largest in its column and the smallest in its row. Such an element is also called a saddle point (by analogy with the surface of a saddle).
The value of the game is (please see the attached file) This solution provides a detailed, step by step explanation of the given question.
The payoff for player A cannot be improved at all, so he cannot be interested in cooperation, and in this the game is different from prisoners dilemma. It also differs from the game of chicken in that it only has one equilibrium point.
Step 6: Maximin =Minimax = saddle point = Value of the game Y1 Y2 Row min Maximin X1 4 6 4 4 X2 2 -3 -3 Column max 4 6 Minimax 4 As minimax=Maximin=4, saddle point=4 Thus, answer=(c ) 5.
Consider the following two-person zero-sum game. Assume the two players have the same three strategy options.
When you eliminate rows, you compare the first of the two entries, and when eliminating columns, compare the second of the two entries. 1. Is there an optimal pure strategy for this game? Yes, there is. 2. If so, what is it?
(b) Is the game number a function of the number of points scored? Why or why not? Answers: (a) Yes. The number of points is a function of the game because there is exactly one point value for each game. (b) No.
Yes, because when you choose to advertise, your rival maximizes his profits by not advertising. A similar line of thought can be done from your rival's point of view. Thus this point is a Nash equilibrium. I hope this helps!
So in case(ii), it is recursive formula.
What type of platform would be most appropriate for this genre, and why? One of the games I liked to play was the "Sonic" video game. I often wondered how this game would play if it were a board game.
It should also be noted as an aside to the value of this game, that some people do not work well within groups and have difficulty in assuming a group role or participating in group activities in any setting.