The Stag Hunt is a famous coordination game where two hunters must work together to hunt a stag but each one has the option to go solo and hunt a hare. The following payoff matrix depicts such a game: a. b. Hunter A Stag Hare Stag 5,5 4,0 Hunter B Hare 0,4 4,4 List any pure strategy Nash equilibria if they exist. Does the game have a mixed strategy Nash equilibrium? If so, solve for it.

Suppose Antonio and Trinity are playing a game that requires both to simultaneously choose an action: Up or Down. The payoff matrix that follows shows the earnings of each person as a function of both of their choices. For example, the upper-right cell shows that if Antonio chooses Up and Trinity chooses Down, Antonio will receive a payoff of 7 and Trinity will receive a payoff of 5. Trinity Up Down Up 4,8 7,5 Antonio Down 3,2 5,6 In this game, the only dominant strategy is for to choose The outcome reflecting the unique Nash equilibrium in this game is as follows: Antonio chooses, and Trinity chooses Grade It Now Save & Continue Continue without saving @ 2 F2 #3 80 Q F3 MacBook Air 44 F7 Dll F8 44 F10 74 $ 4 05 Λ & % 5 6 7 8 * 0 Q W E R T Y U 1 A N S X 9 0 -O O D F G H J K L on را H command C > B N M Λ - - P [ H Λ command opti

See the extensive form game in the image attached (the payoffs of player 1 are written on top and the payoffs of player 2 are on the bottom).  a) Write this game in normal form (a player's strategy is a complete contingent plan that tells them what to play at each of their information sets) (b) Find all the Nash equilibria of the normal form game from part (a)

Suppose two players play the prisoners' dilemma game a finite number of times, both players are rational, and the game is played with complete information, is a tit-for-tat strategy optimal in this case? Explain using your own words.

Hello, please help me to solve this Game Theory question. Thanks in advance! Hobby hunter Jack decides what to do the next weekend. He can either stay at home and watch movies (Movies), or call his friend Katherine to go hunting (Hunt). If he stays in, both Jack and Katherine get a payoff of 2. If he decides to hunt, he knows the situation with his friend will resemble a classic stag hunt game with simultaneous moves: Hunting a stag is better than hunting a rabbit, but it only works if they cooperate. The hunting subgame is captured as:     Katherine       Stag Rabbit Jack Stag 3 , 3 0 , 1   Rabbit 1 , 0 1 , 1 Draw the entire game as an extensive form (game tree), capturing both Jack’s initial decision (M or H) and the subsequent hunting game. Make sure to correctly label all players, actions, and information sets.

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

Consider the following game:   Sarah R S T   Peter    X 9, 6 4, 4 6, -3 Y 6, 6 7, 6 2, 2 Z 9, 7 1, 5 6, 7   How many (pure strategy) Nash equilibria does this game have?