We can see from the payoff matrix that there are no pure strategy Nash equilibrium in this game because at least one firm would always have an incentive to change its behavior. ​ From​ Nash's​ theorem, we know there must be at least one Nash equilibrium so there must be a mixed strategy Nash equilibrium for this game.   Find the mixed strategy Nash equilibrium by first deleting all dominated strategies in the game   What's the expected payoff to Firm 1 in the equilibrium?

What is game theory? How does it relate to strategic decision making?  What do the phrases dominant strategy and Nash Equilibrium mean as they apply to game theory?

O Cell A O Cell C O Cell E O Cell I None of the above

Consider the game in the table below. Find the Nash Equilibrium of the game. Add the payoffs of both players at the Nash Equilibrum and enter that number. Firm A Left Right Up Firm B 9,11 5,6 own 5,10 6,5 20

What is meant by dominant strategy?

Two rival companies competing in the same market need to decide their plans for future expansion of their stores. The Table below shows the possible outcomes of their mutually interdependent actions (payoffs are profits in £m)     Giga Company Titanic Conglomerate   No Change Refurbishment of existing stores Large Expansion No Change     30, 40      25, 35    15, 24 Refurbishment of existing stores     35, 30      28, 32    18, 33 Large Expansion     12, 22     18, 20    20, 25   The Nash equilibrium:            (A)       does not exist. (B)       occurs when both firms choose Refurbishment of existing stores.              (C)       occurs when both firms choose Large Expansion. (D)       occurs when both firms choose No Change.

Consider the two period Repeated Prisoner's Dilemma Game where each player is interested in the SUM of the payoffs she gets in each period. Players see the outcome after the play in each period. (The period payoffs are 10,5,1,0.) (i) Write out this game in its strategic form. (ii) Find all Nash equilibria and all Subgame Perfect Nash Equilibria.

QUESTION 2 In the game above, what is/are the sub-game perfect Nash equilibrium? (up, up) (up, down) ( down, up) (down, down) No equilibrium exists QUESTION 2 Up Down Player 1 No equilibrium exists Up In the game above, what is/are the sub-game perfect Nash equilibrium? (up,up) (up,down) (down, up) □ (down, down) Down Up Down Player 2 P1 gets $45 P2 gets $155 P1 gets $100 P2 gets $10 P1 gets $85 P2 gets $85 P1 gets $95 P2 gets $95

Consider the game given. The top number is player 1’s payoff and the bottom number is player 2’s payoff.a. Find the SPNE.b. Find a Nash equilibrium that is not an SPNE.

While game theory predicts non-cooperative behavior for a one-shot Prisoner's dilemma. By repeating the game, say 20 rounds, it becomes possible to adopt more complex strategies that allow cooperative play as a Nash Equilibrium in at least some rounds of the game. True False