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Could you put this game tree into game matrix form and find the nash equilibrium please. I will up vote
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- Nn3 Suppose an incumbent monopoly firm currently earns a profit of $50,000 per period. A potential entrant could enter and make a profit of $15,000 per period while also lowering the incumbent’s profit to $20,000 per period. The monopoly firm could seek to engage in predatory pricing, which would lead to both firms earning a loss of $5,000 per period. (a) Is there a Nash Equilibrium in this game? If so, what is it? (b) Discuss how this game might play out in the real world?What is the payoff for both players in the SPNE of this game?-(2,5)-(3,4)- (2,2)- (5,1)- (1,7)Please answer Q) d,e,f!! Thank you!
- Boeing 40 Invest 25 O200 Don't Airbus Airbus Invest Don't Invest Don't (-5,-25) (170,0) (0,0) Suppose that both Boeing and Airbus receive a subsidy of 30 units to invest. What is Boeing's payoff in this game? 00 -(0,190)(a) Stan and Ollie are two students who share a flat. Both of them prefer to live in a clean flat. However, neither is too fond of housecleaning. Each of them receives a payoff of 12 if they both clean the flat. If neither person cleans the flat, they receive a payoff of 6 each. If one person cleans the flat but the other person does not, then the payoff for the person who does the cleaning is 5 and the payoff for the person who doesn't do any cleaning is 15. (i) Write down the payoff matrix of this game. Derive the dominant strategy equilibrium. Is this also a Nash equilibrium? (ii) Expiain your reasoning. Consider a game with N players. Each player chooses Black or White. If a player (b) chooses Black, she gets 100 if everyone else also chooses Black, and she gets 0 if any of the other players does not choose Black. If a player chooses White, she always gets 50. Show that everyone choosing Black and everyone choosing White are both Nash equilibria of this game.Answer 5.4 only
- Problem 2. (SPNE 2). Consider the following extensive form game between two players. (1,10) .. D 2 1 B X Y (a) List all pure strategies of player 2. (b) Represent this game in normal form. (c) Find all pure-strategy Nash equilibria of this game. (d) Find all SPNE (in pure strategies) of this game. (6,3) (4,2) (5,1)In a survey of 250 members of a local sports club, 125 members indicated that they plan to attend the next Summer Olympic Games, 75 indicated that they plan to attend the next Winter Olympic Games, and 50 indicated that they plan to attend both games. How many members of the club plan to attend (a) At least one of the two games? members (b) Exactly one of the games? members (c) The Summer Olympic Games only? members (d) None of the games? membersSuppose two players, First and Second, take part in a sequential-move game. First moves first, Second moves second, and each player moves only once. (a). Draw a game tree for a game in which First has two possible actions (Up or Down), and Second has three possible actions (Top, Middle, or Bottom) at each node. Show which nodes are terminal/decision and write down all the (pure) strategies of each player. (b). Draw a game tree for a game in which First and Second each have three possible actions (Sit, Stand, or Jump) at each node. Show which nodes are terminal/decision and write down all the (pure) strategies of each player.
- -3 1 Consider the game defined by the matrix: P = 4 -3 IO 10 61 ooloulote the matrix RP to determineFOOP 6. (a) For the following extensive-form game: i. Identify the pure and mixed strategy Nash Equilibria. ii. Is the set of pure and mixed strategy Subgame Perfect Nash equilibria of the game different from the set of equilibria identified in part (a)? Explain (a couple of sentences should suffice). (3,1) A D B C (-2,-2) (2,5) D (0,7)already got a) b) c) plz answer d) e) f)!!