In the volunteer's dilemma, each player must decide whether to Ouse their personal resources to address the collective problem or to free ride deploy a hawk or dove strategy in an iterated game cooperate or defect stay the course, or to play the "chicken" by jumping first
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- Please look at the payoff matrix below which shows the benefits that would accrue to each player in a 2-player.non-sequential, non-repeated game. a) Identify the collusive (cooperative) equilibrium. b) Identify the secure strategy (maximin) equilibrium c) Identify the maximax equilibrium d) Identify the Nash equilibrium (You must clearly label each answer in eCourses to receive any credit for your answers.) Apple Inc. Strategy 1 Strategy 2 Strategy 3 20 40 60 60 1000 200 Strategy A 70 50 90 Banana 70 300 Inc. Strategy B 400 40 80 100 90 150 80 Strategy CPlease look at the payoff matrix below which shows the benefits that would accrue to each player in a 2-player.non-sequential, non-repeated game. a) Identify the collusive (cooperative) equilibrium. b) Identify the secure strategy (maximin) equilibrium c) Identify the maximax equilibrium d) Identify the Nash equilibrium Apple Inc. Strategy 1 Strategy 2 Strategy 3 20 40 60 60 1000 200 Strategy A 70 50 90 Banana Inc. 400 70 300 Strategy B 40 80 100 90 150 80 Strategy CThe payoff matrix below describes a one-shot game in which two farmers ("Player A" and "Player B") choose between planting corn or planting wheat. The payoffs in this matrix represent thousands of dollars of income, so more is better. Pla yer A Plant Corn Plant Wheat What kind of equilibrium is this? Plant Corn Dominant Strategy Equilibrium Nash equilibrium 3, 3 Player B 5,0 Both a Nash and a Dominant Strategy Equilibrium O No equilibrium Plant Wheat 0,5 1, 1
- One of the following statements about the theory of economic games is not correct. Select the one answer that is false. Select one: O Each player's most preferred scenario in a prisoners' dilemma game is to free ride. O Looking for dominant strategies will identify all equilibria in a game. In a dominant strategy equilibrium, no player has an incentive to unilaterally change their strategy. O In a Nash equilibrium, no player has an incentive to unilaterally change their strategy.Show that there does not exist a pure-strategy perfect Bayesian equilibrium in the following extensive-form game. What is the mixed- strategy perfect Bayesian equilibrium? R Player 1. M L Player 2 1 ● 30Solve for the Nash equilibrium (or equilibria) in each of the following games. (a) The following two-by-two game is a little harder to solve since firm 2’spreferred strategy depends of what firm 1 does. But firm 1 has a dominantstrategy so this game has one Nash equilibrium. Firm 2 Launch Don’tFirm 1 Launch 60, -10 100, 0 Don’t 80, 30 120, 0 What is the Nash equilibrium of this simultaneous-move game? (b) What would the outcome of this game be if instead firm 1 moved first and then, after seeing what firm 1 chose, firm 2 chose it strategy? In this case firm 1 doesn’t necessarily need to choose a best response, but firm 2 must choose a best response since it moves second.
- Describe what are the games with mixed strategies?Which of the following is FALSE for the Bayesian Nash equilibrium of a Bayesian game? A. Every Bayesian game in which there are finitely many players and finitely many actions and types for each player, there exists a Bayesian Nash equilibrium B. Every Bayesian game has multiple Bayesian Nash equilibria C. Bayesian Nash equilibrium of a Bayesian game is the Nash equilibrium of its associated ex-ante normal form gameExplain the concept of two-person zero- sum game and saddle point. Also provide a suitable example. Determine which of the following two-person zero-sum games are strictly determinable and fair. Give the optimum strategies for each player in the case of it being strictly determinable. Player A Player B B2 вз 4 B1 A1 5 -1 2 A2
- Describe the payoffs for an R&D game of chicken and contrast them with the payoffs in a prisoners' dilemma game. The outcome is that In the prisoners' dilemma R&D game, a firm can use the R&D O A. if either it or its competitor conducts the R&D; one firm conducts R&D; B. only if it conducts the R&D; one firm conducts R&D; OC. If either it or its competitor conducts the R&D; neither firm undertakes R&D; D. only if it conducts the R&D; both firms undertake R&D; In an R&D game of chicken, a firm can use the R&D The outcome is that A. only if it conducts the R&D; one firm conducts R&D B. only if it conducts the R&D; both firms undertake R&D C. if either it or its competitor conducts the R&D; one firm conducts R&D D. If either it or its competitor conducts the R&D; both firms undertake R&Dparameter z= 1 In the unique subgame perfect Nash equilibrium, what is the sum of the payoffs tothe two players?What is the difference between a cooperative and a noncooperative game? Give an example of each.