Provide the notation for the subgame perfect outcome of the game described in question 2. Subgame perfection is a combination of what two solution concepts?
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- Solve Both Questions!2. Do we depict the equilibrium of a game in pay-offs or strategies in Game theory? 3- 3. What is meant by the phrase, "Best Response of a player"? in Game Theory?1. Solve for the mixed strategy Nash equilibrium of the game above. Explain carefully how you solve for it. 2. In the equilibrium you calculated above, what is the probability that both consoles are released in October? In December? What are the expected payoffs of firm A and of firm B in equilibrium?Required a. Identify three Nash equilibria of this game. b. Explain in words which strategy pair is likely to be played in this game and why. Please give a detailed answer. Thanks!
- A) Focus on the strategic game at the lower-right side of the gametree. Find all the Nash equilibria for this subgame, including the mixed-strategyones. (b) Find all the subgame perfect equilibria for the entire game, allowingfor both pure and mixed strategies1. What is the expected value of playing this game ? a. The player repeatedly rolls a six - side d die until it comes up 6. b. When the die comes up 6 , the player receives a payoff, and the game ends. The player get s precise ly one payof f. c. The initial payoff is $6, and it increases by 20%. The f irst roll payoff is $6 ; the second roll payoff is $7.20 (1.2*$6) ; the third roll payoff is $8.64 (1.2*$7.20), and so on. What is the expected value of playing this game?QUESTION 1: Game theory a) What is the pure strategy Nash equilibrium outcome if there is one? b) Is this a socially optimal outcome? If not, which outcome is preferred? c) Do all three solution approaches for simultaneous games work independently (not together)? If not, which do not? d) Draw the game as a game tree (extensive form). e) Switch the payoffs in cells (A, A) and (D, D). What is the pure strategy Nash equilibrium outcome if there is one?
- Which of the following gambles is “unfair”? a. A game that promises to pay you $1 if a coin comes up head and cost you $1 if a coin comes up tail, with no entry fee. b. A game that promises to pay you $10 if a coin comes up head and cost you $1 if a coin comes up tail, with no entry fee. c. A game that promises to pay you $10 if a coin comes up head and cost you $1 if a coin comes up tail, with an entry fee of $4.50 for the right to play. d. All of the above.Problem1 A)Provide an example of the extended form of a sequential game with perfect information. B) Provide an example of a repeated game with complete but imperfect information.1. Define Dominant Strategy and Dominant equilibrium in Game theory? 2. Do we depict the equilibrium of a game in pay-offs or strategies in Game theory?
- (a) What are the sets of pure strategies of players A and B?(b) Find the subgame perfect equilibrium(c) Provide a brief argument why the SPE is unique (i.e., why there are no more SPE, whether in pure or mixed strategies).8 Please use the game theory matrix to answer the following question We have 110,000 Homes • The low price is $79.95 and the high price is 10% more • Set up fees of $49.50 + $6.50 per subscriber The company's profit is based on its price and its competitor’s price: What is the contribution margin per house in each scenario? *Contribution margin = Price – total costsWhat is Ann's maximin strategy? Game Bob L RAnn U 10,-1 4, 4 D 4, 1 8, -1 Select one: a.none of the other answers b.4/7 U + 3/7 D c.2/5 U+ 3/5 D d.2/7 U + 5/7 D e.3/5 U + 2/5 D