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- Consider the following simultaneous move game where player 1 has two types. Player 2 does not know if he is playing with type a player 1 or type b player 1. Player 2 C D Player 1 A 12,9 3,6 B 6,0 6,9 C D A 0,9 3,6 B 6,0 6,9 Type a Player 1 Prob = 2/3 Type b Player 1 Prob = 1/3 Find the all the possible Bayesian Nash Equilibriums (BNE) of this game.6. Battle of the Networks 1\2 %share Sitcom Sitcom 48;52 Sport 42;58 Nature 55:45 58;42 Ans: s; = (0; 0.85; 0.14); V, = 55.43 s; = (0.43; 0.57;0); V½ = 44.57 40;60 63;37 60;40 Sport Nature 56:44 52;48 Find Nash Equilibrium.In trying to solve for the Cournot - Nash equilibrium, given (",") = R₁ (2) = 60-2 60-2 and (v) = R₂₁ = solve for y, . Answer: 45-1 2 C In trying to solve for the Cournot-Nash equilibrium, given (y) R₁(y)=60-y and = (y) R₂(y)= 45-y solve for y 2 Answer:
- find the nash equilibrium if there is any and explain thoroughlyTen commuters must decide simultaneously in the morning to use route A or route B to go from home (same place for all) to work (ditto). If a of them use route A, each of them will travel for 10a + 40 minutes; if b of them use route B, each of them will travel for 10b minutes. Everyone wishes to minimize his/her commuting time. Your tasks: Describe the pure Nash equilibrium (or Nash equilibria) of this ten-person game. Compute the corresponding profile of commuting times. Explicitly list all equilibrium conditions that are satisfied. à. b. What is the traffic pattern (strategies) minimizing the total travel time of all commuters (the sum of their travel times)? Describe the corresponding profile of commuting times (individual payoffs/cost). What does this mean about the Price of Anarchy of this game (assuming that the objective function is the total travel time)? с.found the nash equilibrium of
- why is a nash equilibrium stableIn trying to solve for the Cournot-Nash equilibrium, given (y;) = R₁(y) = 30-y 60-y == and (y2) = R₂(y) = solve for yDownvotw downvote ཁཁ་ Dont answer will give downvote Nash Equilibrium is Group of ariswer choices a strategy that must appear in every game, the best strategy for a player to follow only if other players are cooperative a strategy that leads to one player's interests dominating the interests of the other players, a situation where no person has an incentive to change their strategy unless someone else changes theirs.
- Determine the Nash equilibriawhich is the nash equilibrium? small pig does press large pig does press (20, 130), small pig doesn't press large pig does press (140, 10), small pig does press large pig doesn't press (-5, 150), small pig does not press large pig doesn't press (0,0).You have just played rock, paper, scissors with your friend. You chose scissors and he chose paper, so you won. Is this a Nash equilibrium? Explain why or why not.