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- Game theory Consider a simultaneous move game with two players. Player 1 has three possible actions (A, B, or C) and Player 2 has two possible actions (D or E.) In the payoff matrix below, each cell contains the payoff for Player 1 followed by the payoff for Player 2. Player 2 7. Player 1 ہے A B C D -3, -3 0, -11 -4, 3 -11, E 0 -7, -7 -12, 0 (a) Identify any dominated strategies in this game. If there are none, state this clearly. (b) Identify any pure strategy Nash Equilibria in this game. If there are none, state this clearly.1. With nash equilibrium, do you always choose the optimal strategy? 2. Can a game have more than one nash equilibrium?1.Draw the extensive form representation of this game. 2. Find a subgame perfect equilibrium (SPE) of this game. focus on pure-strategies only.
- Look at the attached table. A. What are the Nash equilibrium to this game (if there are any)? B. Are any of the Nash equilibrium efficient? If yes, which one(s)? If any are inefficient, explain why.Game Theory I am trying to assign numbers (theoretical)to a game im making. Its about Tipping. Its based on 3 different efforts a server has showed Can you assign numbers to each of these. This is all made up so you can use whatever values they just need to be in regard to the other values. Thanks. I was thinking to start on high effort Tip could be +10 and no tip could be -10 Best and worst scenario. You do high effort service and get tipped and high effort with no tip. Thanks29. What is another name for a simultaneous-move game of incomplete information? a. Dynamic Game of Complete Information b. Static Game of Complete Information c. Dynamic Bayesian Game d. Static Bayesian Game
- Once an original decision has been made, what happens on a game tree with each additional decision made by a player? A. A root sprouts downward. B. A new branch is formed. C. A new tree is created. D. A merger occurs between two branches.Please help awnser 7. Game TheoryAlice and Bob playing the following 2x3 game. In the payoff matrix below, Alice’s payoffsare the first number and Bob’s are the second number.4. Correlated EquilibriaConstruct an example (not one from class or the reading) of a Normal form game with a correlated equilibrium that is not a Nash equilibrium.
- Player 2 Left Center 30, 40 6, 20 20, 20 Right 21, 24 32, 35 10, 5 Up Middle 5, 5 40, 11 Player 1 Down 38, 42 Use the information in the game matrix above to answer questions #3 and # 4. 3. If both Players move simultaneously, then a. Player 1 has a dominant strategy, and Player 2 does not. b. Player 2 has a dominant strategy, and Player 1 does not. c. There is more than one pure strategy Nash Equilibrium. d. Both players have a dominant strategy. e. There are no Nash Equilibria in pure strategies. 4. If Player 1 moves first, then is the subgame perfect equilibrium. a. (Up, Left) b. (Middle, Center) c. (Middle, Right) d. (Down, Left) e. (Down, Center)1. A game may have more than one Nash equilibrium. T/F ? 2. A game has always at least one pure strategy Nash equilibrium. T/F? 3. A situation where everyone is playing a dominant strategy must be a Nash equilibrium. T/F?Hi this is from a textbook. Thank you. Consider the following game in which Sally can play T or B and John chooses between L or R. Each player makes their choice simultaneously. If Sally chooses T and John chooses L, Sally gets a payoff of 5 and John has a payoff of 4. If Sally plays T and John R, Sally’s payoff is 8 and John gets 3. If Sally Chooses B and John L, the payoffs are 3 to Sally and 2 to John. Finally, if Sally chooses B and John R, the payoffs are 7 to Sally and 0 to John. Which statement is true? a) The Nash equilibrium is (B,R); this is a prisoners’ dilemma b) The Nash equilibrium is (T,R); this is a prisoners’ dilemma c) The Nash equilibrium is (T,R); this is not dominant strategy equilibrium d) The Nash equilibrium is (T,L); this is a dominant strategy equilibrium e) None of the above