What are Nash Equilibria in the following game? Select all that apply. Tasty Pizza Pizza Jazz 7 meats Seafood Veggie 0,8 9,8 19, 13 BBQ Prawn 20, 17 9, 12 9,9 Jazz 9,8 18, 12 18, 17
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- Husband and wife want to spend Friday evening at cinema. They can watch the same movie, or different ones. They choose between two movies: “Heroes of War” and “Loving Stranger”. If they go to the same movie, they both feel satisfaction: in the case they watch “Heroes of War” husband’s satisfaction is higher, but in case they watch “Loving Stranger” wife’s satisfaction is higher. If they decide to watch different movies they feel no satisfaction at all. Help them to make the best decision (in terms of game theory – find Nash equilibrium).See the extensive form game in the image attached (the payoffs of player 1 are written on top and the payoffs of player 2 are on the bottom). a) Write this game in normal form (a player's strategy is a complete contingent plan that tells them what to play at each of their information sets) (b) Find all the Nash equilibria of the normal form game from part (a)Real Options & Game Theory Is the following statement true or false (explain your answer): In any strategic-form game, if a player has a dominant strategy, then all of the other strategies of that player are dominated.
- In the following 3-player game, the payoffs represent the number of years in jail. The equilibrium is ________ Group of answer choices Eric and Ned denies. Eric and Tim confess, but Ned denies. Eric confesses, Ned and Tim deny. Eric and Time deny, but Ned confessesGame theory can capture strategic situations where your outcome depends not only upon your own choice but also upon the choice of another. Present a coordination game of your choice where you and another player each have two choices or strategies. Explain in words the Nash Equilibrium concept, and identify the Nash equilibrium or Nash equilibria for your game. Explain why the outcomes that are not Nash equilibria are not.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.
- UNIT 9 CHAPTER 5 In a gambling game, Player A and Player B both have a $1 and a $5 bill. Each player selects one of the bills without the other player knowing the bill selected. Simultaneously they both reveal the bills selected. If the bills do not match, Player A wins Player B's bill. If the bills match, Player B wins Player A's bill. Develop the game theory table for this game. The values should be expressed as the gains (or losses) for Player A. Is there a pure strategy? Why or why not? Determine the optimal strategies and the value of this game. Does the game favor one player over the other? Suppose Player B decides to deviate from the optimal strategy and begins playing each bill 50% of the time. What should Player A do to improve Player A’s winnings? Comment on why it is important to follow an optimal game theory strategy.HBO and Showtime are both evaluating a new TV show. They could produce either a romantic comedy or a crime drama. The below table represents profits for each outcome. a. Do you agree with following statements? Explain your answers. i. If HBO chooses to produce a romantic comedy, then Showtime’s best response is to produce a crime drama. ii. Showtime’s best response is to always produce a romantic comedy. iii. best response is to always produce a romantic comedy. b. What is the Nash equilibrium in this game?For the game given, find a Nash equilibrium in which both players randomize.
- Use a matrix to model a two-player game of rock-paper-scissors with payoff of 1 if you win, -1 if you lose, and 0 if you tie. In this game, how many pure-strategies Nash equilibria exist?Consider the following game in normal form. Not cooperate Cooperate Not cooperate 20,20 50,0 Cooperate 0,50 40,40 What is Nash equilibrium? Is it efficient? Why? What needs to be complied with so that the players would like to cooperate? What happens when one of the players does not cooperate? Why? Define trigger strategy. Calculate the discount factor (δ) that would make both players decide to cooperate.Find all Nash equilibria in the next game