P2: Hawk Dove P1: Hawk -25, -25 50, 0 Dove 0, 50 15, 15 Is the mixed-strategy NE of the above game an evolutionary stable strategy (ESS)? Show your work and explain your answer.
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- This activity has 4 theorical and practical exercises for which you will have to describe the representation of each proposed game and its solutions.1. Consider the following game in strategic or normal form.A2 B2 C2A1 1,0 1,2 -2,1B1 6,2 0,3 2,3C1 2,2 -2,1 2,3▸ Use the iterative elimination of strictly dominated strategies to reduce the game as much as possible.▸ What is the set of rationalizable strategies for each player? Microeconomics (code ECO2023)Actividades 2© MIU City University Miami ▸ What is/are Nash equilibrium(s) in this game?▸ Explain the differences between cooperative and non- cooperative games. What are the fundamental hypotheses about the behavior of the persons in Game theory?2. Two hunters may choose, individually and simultaneously, to go deer hunting, as the deer can provide abundant and appetizing food, or to go hare hunting, also appetizing, but scarce. Deer hunting represents a challenge and requires mutual coordination. Hunting a…True or False: Every finite extensive-form game of imperfect information admits at least one pure-strategy Nash equilibrium. Justify if true or give a counter-example if not1 True or False : Every finite extensive - form game of imperfect information admits at least one pure - strategy Nash equilibrium . Justify if true or give a counter - example if not
- Two friends, Khalid and Mahmood, are going to a watch a world cup football match. They play a simple game in which they hold out one or two fingers to decide who will pay for the other's ticket. Khalid wins if the fingers held out add up to an even number; Mahmood wins if the fingers held out add up to an odd number. The price of the ticket is 25 OMR. Construct a payoff matrix for the game. Is there a unique Nash equilibrium in this game? Which strategy should a player use to maximize her chances of winning the game?Economics Consider an infinitely repeated game played between two firms with the following payoffs (firm 1 is listed first): · (250, 290) if both firms deviate · (290, 330) if both firms cooperate · (230, 370) if only firm 2 deviates · (350, 270) if only firm 1 deviates a. What probability-adjusted discount factor would ensure that Firm 1 would cooperate in a Nash equilibrium if Firm 2 applied a trigger strategy in the event that Firm 1 deviated? b. What probability-adjusted discount factor would ensure that Firm 2 would cooperate in a Nash equilibrium if Firm 1 applied a trigger strategy in the event that Firm 2 deviated?E3 Bayesian Game]. Consider a Bayesian game described by a following payoff matrix. Please solve (show your solution). 1. Enumerate all pure strategies for each player. 2. Suppose that player 1 observes his type ?1 = 3. How does player 1 think of the probability of ?2? 3. Find a (pure strategy) Bayesian Nash equilibrium.
- Two firms bid for a contract to build a university building. Their construction costs are independent and uniformly drawn from [0,1]: Both bidders submit their bids si- multaneously. The winner is the bidder who submits a lowest bid. Tie-breaking rule is random. This kind of bidding game is called i'reverse auction' because the bidders bid for the right to provide a service and the winner is paid for the service. The FCC in 2017 has adopted similar auctions designed to repurpose spectrum for new uses. (a) In the first auction, the winner gets paid the loser's bid. For example, if the winner's cost is 0.5, his bid is 0.56, and the loserís bid is 0.6, then the winner gets the contract and the university pays the winner 0.6. The winner's net profit from the contract is 0.6-0.5 = 0.1. Solve for a Bayesian Nash equilibrium of this auction. What is the equilibrium bid of a firm bid if his cost is actually 0.5? (b) In the second auction, the winner gets paid the his/her own winning…Suppose there is a second price sealed bid auction in which the players have the following values: v1=15, v2=4, v3=6, v4=8, v5=10, v6=6. In the symmetric equilibrium, what bid will bidder 4 submit? a. 10 b. 15 c. 4 d. 8q60c- Is the Nash equilibrium the best outcome for this problem? Explain
- Economics - Game Theory & Business Strategy Inverse Market Demand for tires is P = 200 - .01Q We assume the manufacturer sets a Price, 'X', for the tires and the manufacrturer moves first, selecting 'X' before any sales decisions are made. In this variation, we assume there are 3 retail firms, each with Market Power. The firms (1,2,3) make their sales decisions (q1,q2,q3) simultaneously, taking the manufacturer's price X as given. Total market sales, Q, then equal q1 + q2 + q3. We assume the only cost for the retailers is the cost 'X' for each tire. Additionally, the manufacturer produces the tires at a Marginal Cost of $10 a tire. **** Write out the Extensive form of this game ****Consider the following game in strategic or normal form. A2 B2 C2 A1 1,0 1,2 -2,1 B1 6,2 0,3 2,3 C1 2,2 -2,1 2,3 Use the iterative elimination of strictly dominated strategies to reduce the game as much as possible. What is the set of rationalizable strategies for each player? What is/are Nash equilibrium(s) in this game?Normal-Form GameFind all Nash equilibria of the following two-player game. Provide necessary computation.