Which of the following correctly characterizes a Nash Equilibrium: a. The players could not be jointly better off if they cooperated. b. There is no incentive for either player to deviate from their strategy because the outcome maximizes the combined payoff of all players. c. Neither player has incentive to deviate from their strategy given the other player's strategy d. Neither player can have a dominant strategy..

Can you explain the "altruism and reciprocity" game theory, and provide an example? Is this the same as the "trust game?"

8) Consider the following game: There are 10 players. Each player is asked to write a number between 0 and 100. The player whose choice is closest to half of the average is the winner. Describe the game and discuss what would you expect to be the average number if the game were played in class with your colleagues. Do you expect them to play the Nash equilibrium strategy? Explain.

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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.

QUESTION 4 Suppose there are 2 players in a non- cooperative game theory situation. Player A can move Up or Down while Player B can choose Left or Right. The following matrix contains the payoffs that each player receives under 4 scenarios. The first number in each cell refers to the payoffs for Player A. Player A Up Down A. B. C. 10, 60 D. 20, 80 Player B Suppose Player A moves first and Player B moves second. There is one equilibrium, Up, Left Left There is one equilibrium: Down, Right. 50, 90 40, 50 There are two equilibria, (Down, Left) and (Up, Right) Right There is one equilibrium in this game, Up Right

Consider the payoff matrix for a game depicted below. Player 1 selects the row and Player 2 selects the column.     Up   Down Left   1, -1   -1, 1 Right   -1, 1   1, -1 What is (are) the Nash equilibrium (equilibria)? Question 18Answer a. Player 1 plays right; Player 2 plays down b. Player 1 plays left; Player 2 plays down c. Player 1 plays down; Player 2 plays left d. Player 1 plays right; Player 2 plays up e. Player 1 plays up; Player 2 plays left f. There is no Nash equilibrium g. Player 1 plays down; Player 2 plays right h. Player 1 plays up; Player 2 plays right i. Player 1 plays left; Player 2 plays up