Following payoff table (Table 1) shows profit for a decision analysis problem with two decision alternatives and three states of nature. Table 1: Decision Alternative Nature of States       s1 s2 s3 d1 250 100 25 d2 100 100 75 Recommend a decision based on the use of the optimistic, conservative, and minimax regret approaches.

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Find all NE of the stage game.(b) Consider a two-period game without discounting in which the stage game is played ineach period. Find all pure strategy SPNE.(c) What’s the min-max payoff of each player?(c1) Consider pure strategies only.(c2) Consider all strategies, including the mixed ones.(d) Now suppose the stage game is repeated infinitely many times. Use the Fudenberg-Maskin Folk theorem to find all possible values of payoff that can be supported as aSPNE.

The following table shows cost payoffs for four decision variables and four states of nature. S₁ S2 di 20 20 S S3 54 8 19 4 d2 12 12 40 d3 10 10 16 16 16 d4 30 30 25 20 20 9 110 14 14 Suppose the decision maker assigns the probability for S₁ = 0.10; S2 = 0.40; S3 = 0.20; and S4 = 0.30, what is the expected value of best decision? 21.2 21.8 20 19.2

Hello, please help me to solve part (d) and (e):Charlie finds two fifty-pence pieces on the floor. His friend Dylan is standing next to him when he finds them. Chris can offer Dylan nothing at all, one of the fifty-pence pieces, or both. Dylan observes the offer made by Charlie, and can either accept the offer (in which case they each receive the split specified by Charlie) or reject the offer.If he rejects the offer, each player gets nothing at all (because Charlie is embarassed and throws the moneyaway).(a) Formulate this interaction as an extensive-form game. To keep things simple, players’ payoff is equal to their monetary gain.(b) List all histories of the game. Split these into terminal and non-terminal histories.(c) What are the strategies available to Charlie? What are the strategies available to Dylan? Draw the strategic-form game.(d) Find the pure-strategy Nash equilibria of this game.(e) What do you think will happen?

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The decision tree below describes the game faced by firm H and firm T. The payoffs are profits in million of US$. The SPNE is(are):     (Build large, Build large)     (Build Small, Build Small)     (Build Small, Build Large)     (No build, Build Large)     (Build Large, No Build)