Action of Prisoner B Confess Not Confess Action of Prisoner A Confess a. Both confess 3 years each A gets 8 year B gets 2 years Not Confess What is a) the outcome of the first turn? and b) the outcome of the second turn? O A gets 2 years B gets 8 year 10 years each Suppose that there are two turns to the prisoner's dilemma. 1. In the first turn, both prisoners are allowed to collude. 2. In the second turn, both prisoners are not allowed to talk to each other, and must make a decision simultaneously.
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- There are 2 players. They take Ston eS From the Pilt of 6 Stones. Player 1 can takt only 2 or 3 Stones. piayer 2 can taKeS only 2 or 4 StonesS. P layers take turns, observe dil Previous moves, and player 1 mover first. A pla yer loses if She can not make a legal move, While another player ir declared the Winner. Let the pay oF OF Winning egval to 1 and the payoFF OF losing equal to 0. a) represent the in ɛxtemsive Form (depict Only legalmoes) b) Find all SPNE OF this game& explain your a mwwer. Who Will Win ? game Only legalmar)Jane and Bill are apprehended for a bank robbery. They are taken into separate rooms and questioned by the police about their involvement in the crime. The police tell them each that if they confess and turn the other person in, they will receive a fighter sentence. If they both confess, they will be each be sentenced to 30 years. If neither confesses, they will each receive a 20-year sentence. If only one confesses, the they will receive 15 years and the one who stayed silent will receive 35 years. Table 10.7 below represents the choices available to Jane and Bill. If Jane trusts Bill to stay silent, what should she do? If Jane thinks that Bill will confess, what should she do? Does Jane have a dominant strategy? Does Bill have a dominant strategy? A = Confess; B = Stay Silent. (Each results entry lists Janes sentence first (in years), and Bills sentence second.)4 Problem: Ticket Exchange Each of two players draw a lottery ticket with a random prize written on it. You can assume that prizes a uniformly drawn from an interval between 0 and 100 (can you solve it without uniform assumption?). Both player simultaneously decide whether to keep the prize or exchange the ticket with another player. If both decide to exchange, then the tickets are swapped and each player collects a prize from the newly acquired ticket. Find the BNE of the game. Hint: consider cut-off strategies, i.e. that prizes above some x are kept, and below z are offered for exchange.
- Two firms, A and B, are each considering trying to develop a newwidget. Whichever firm is first to develop the new widget wins a patent worth $20 million plus a penny.Developing a new widget involves several ‘steps’. The firms alternate moves, with A moving first, until oneof them wins the patent. All moves are observed. In each turn, a firm can choose whether to take 0, 1, or2 development ‘steps’. Taking 0 steps in a turn costs that firm $0. Taking 1 step in a turn costs $4 million.And taking 2 steps in a turn costs $11 million. For simplicity, assume a zero discount rate. Initially, eachfirm is 4 steps away from completing development.(a) Describe and explain carefully what will happen in this patent race and why. [Hint: it may help toread Dutta ch 12 (but notice I changed the numbers).](b) Very briefly explain what is the economic rationale for granting ‘intellectual property rights’ such aspatents. What are some disadvantages for society of granting such rights?Кееp production $200 million $300 million Using what you know about the prisoner's dilemma, what would be the profit for Antel and constant IMD in millions? (cooperate Antel profit Antel profit is $20 million is $200 million Antel options IMD profit is IMD profit is $20 million $100 million Increase production (act independently) Antel profit Antel profit is $100 million is $300 million Antel profit: S million million IMD profit: S What would be the best collective option for both firms? Select all of the reasons Antel and IMD would make more profit at the original constant production level? соорerate Because overall demand for computer chips act independently will increase Because they can both charge more for the product at the given level of production Because it restricts the supply of computer chipsExample 1: Zero Sum Game Game Table 2 Game Table 1 Player 2 Player 2 S1 S2 Si S2 RI (3,-3) (-5,5) Player 1 R1 3 -5 RI (0,0) (7,-7) R1 7 Player 1 All players payoff shown =) Fnd Nasn ewwliLtlun> zero sum shorthand
- Suppose there are two groups -Wegofurst and Thenwego- who must make choices without knowing what the other has selected. Wegofurst, the player on the left, must choose A, B, or C. Thenwego, the player on the top must pick either X, Y, or Z. The outcomes described in the table below are desirable outcomes (such as profit in dollars, not years in prison): Thenwego Y 11,59 22,53 38, 24 Wegofurst B 35, 33 27 ,41 29, 37 C 28 , 36 39,23 47, 21 Assuming there is no collusion, what is the solution ? O There is NO correct solution listed. O AY OCY OcZ O BX O AX CX O AZ O BZlearn.canterbury.ac.nz Clasarsom Nov 15-ICO EUC LEARN | AKO See the game below and answer the questions 8 to 11: Player-1 C Player-2 X, Y Y Player-1 9 14 8. Player-2 16 17 16 Nash Equilibrium in this game: Select one: O a. Playert: C; Player2: X O b. Playert: C; Player2: Y Oc. Playert: L; Player2: X Od. Playert: L; Player2: Y e. NoneReview the “Prisoner’s Dilemma.” What assumptions does the scenario make? Whatconditions must prevail so that the outcome is bad for both hypothetical prisoners?How might the assumptions be changed so that the outcome is better for both?
- west fellowb i ask both answer how to get one answer usekessfnan421 Word Gozden Geçir Górunum Vard m e vaomak sted nz sOv eyin 1) Two firms, X and Y, are planning to market their new products. Each firm can develop either TV or Laptop. Market research indicates that the resulting profits to each firm for the alternative strategies are given by the following payoff matrix: FIRM Y TV LAPTOP FIRM X TV 30, 30 20, 35 LAPTOP 40,70 20, 20 A) What is the cooperative outcome? B) Which firm benefits most from the cooperative outcome? How much would that firm need to offer the other?don't answer by pen paper and don't use chatgpt otherwise we will give dounvote Answer both others wise give dounvote 48. There are 5 firms with sales of firm1=$19.0million, firm2=$11.0million, firm3=$6.0 million, and the remaining two firms have $4.0 million each. Firm1 and Firm2 wish to merge. What is the new Herfindahl Hirschman Index (HHI)? 34. There are 19.6 firms in a market with sales, Firm 1=$ 18.5, Firm 2= $14.1, Firm 3=$ 8.0, Firm 4= $11.1, Residual firms = $1.0 each, Find the numbers equivalent of firms