Consider the following finitely repeated date game. Write down a subgame perfect equilibrium. You can do this using informal descriptions of the strategies. Iya Froyo ale Iya 1,5 0,0 6,1 Froyo 0,0
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- 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. ThanksAedri Quick Lesson in Game Theory A Nash Equilibrium is an outcome in which neither player is better off by changing their strategy. 2.7 Is a Dominant Strategy equilibrium also a Nash equilibrium? a) Yes b) No esc The Ice Cream Guys $3.99 $4.99 + Chucky's Chunky CCT: $20,000 $3.99 ICG: $20,000 CCT: $60,000 ICG: $10,000 tab Treats CCT: $10,000 $4.99 ICG: $60,000 CCT: $40,000 ICG: $40,000 The table above is the payoff matrix for the annual profit of the only two ice-cream-truck firms operating in Beach City. They are deciding the price of an ice cream cone. %3D caps lo 2.8 What is Chucky's dominant strategy? a) $3.99 b) $4.99 c) Not enough information hift 2.9 What is the dominant strategy equilibrium in this situation? a) Both charge $3.99 b) Both charge $4.99 c) CCT charges $3.99 and ICG charges $4.99 d) CCT charges $4.99 and ICG charges $3.99 2.10 Suppose these two firms engaged in collusion (which, of course, totally doesn't happen because it is against the law). Which outcome would…What is the Nash Equilibrium in a game?A. A situation where all players cooperate for maximum gainB. A situation where no player can improve their outcome by changing their strategy unilaterallyC. A situation where players always choose the same strategyD. A situation where players randomly select strategies
- 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.Consider the following classic game, called Hawk and Dove. Player 2 Hawk Dove Hewk 0,0 4,1 Player 1 Dove 1,4 33 Select all pure strategy Nash equilibria and check the corresponding option if you think there exists a mixed strategy Nash equilibrium too. O There exists also a mixed strategy Nash equilibrium OHawk, Dove ODove, Hawk O Hawk, Hawk O Hawk, HawkPlease answer all parts. Two construction companies EdilA and EdilB take part in a race contract to build a school. Both can bid 1000, 2000 or 3000. The winner (the lowest offer) builds the school and pays 900 of costs. 1. When both bid the same amount, EdilA wins the contract. Find the Nash equilibrium. 2. Assume instead that when both bid the same, neither gets the contract, and furthermore suffer a penalty of 10. Find the Nash equilibrium. 3. Assume instead that when both bid the same, each builds half the school (but sustains 600 of costs, thus more than half). Find the Nash equilibrium. 4. Under the hypothesis of point 2 assume that EdilB can observe the offer made by EdilA before it makes its offer, and that EdilA anticipates that. Find the Nash equilibrium by backward induction of this sequential game.
- 1. For the following game Player B Player A Left 7,17 10,5 4,4 Middle Right 14,11 4,3 10,25 21,21 Тop Middle 14,4 Bottom 7,3 a) Determine the Nash equilibrium is any? b) Represent the game sequentially starting with player 1 and determine the sub-game perfect equilibrium c) Represent the game sequentially starting with player 2 and determine the sub-game perfect equilibrium d) Find the mixed strategy Nash equilibrium of the following game e) Firm 1 Firm 2 High price Low price High price 4,3 2,4 Low price 2,4 3,3D A popular way of sharing a cake between two people is to have one of the two cut the cake and the other chooses the who gets what piece. A. Write down the extensive form representation of this game. B. Solve for the Nash equilibrium strategy equilibrium. 4し(5,3) b I(2,2) も(0,0) (4,12) a (12.4) (0,0) i). List all subgame pertect Nash equilibria and name one Nash eqvilibrivm that is not subgame pertect i). How many strategies does playot and player 2 have?
- 3 Use the following payoff matrix for a one-shot game to answer the accompanying questions. 20 oints eBook Player 1 Strategy A B Player 2 X Y 12, 12 -30, 6 6, -30 30, 30 a. Determine the Nash equilibrium outcomes that arise if the players make decisions independently, simultaneously, and without any communication. Instructions: In order to receive full credit, you must make a selection for each option. For correct answer(s), click the box once to place a check mark. For incorrect answer(s), click twice to empty the box. ? (-30, 6) (12.12) ? (6.-30) ? (30, 30) Which of these outcomes would you consider most likely? O (30,30) O(-30, 6) O (12, 12) O(6,-30) b. Suppose player 1 is permitted to "communicate" by uttering one syllable before the players simultaneously and independently make their decisions. What should player 1 utter? OA OB What outcome do you think would occur as a result? O (12, 12) O (-30, 6) O (30, 30) 0 (6,-30) c. Suppose player 2 can choose its strategy before player 1,…Course dashboard Use the following statements to answer this question I. A player must have at least one dominant strategy in a game. II If neither player in a game has a dominant strategy in a game, then there is no equilibrium outcome for the game. Lutfen birini seçin O a land Il are true. obland Il are false Octistrue and il is false. Oaiistme andisface Seçimlmi temizle SONRAKİ SAYFAA B 2 2 C 3,2 D 2,1 E 1,1 F In this game, the strategy profile (B.CE) is 4 2.2 not a Nash equilibrium a subgame imperfect Nash equilibrium a subgame perfect Nash equilibrium
