To achieve Pareto optimum in a Prisoner's Dilemma, we assume that the players confess pick the best individual payoff I choose to use one of my three skips on this question. work together
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- Can you explain the "altruism and reciprocity" game theory, and provide an example? Is this the same as the "trust game?"In game theory, what are some conflicts (history/fiction) in which there is a nash equilibrium between 2 actors?Consider the following game where two players have to decide if they want to buy a movie ticket or a baseball ticket. They have the highest payoffs when they both buy tickets to the same activity, but must decide simultaneously what to buy without knowing what the other person will do. a. Does either player have a dominant strategy? b. How many equilibria does this game have? c. Is this an example of a prisoner’s dilemma? Explain. d. What will be the outcome if your friend buys their ticket first and you can observe their choice?
- Consider a game between 2 payers (Ann and Bill) where each chooses between 3 actions (Up, Middle and Down). 1) Create a payoff matrix that reflects this. 2) Fill in payoff numbers that makes this game a Prisoner's Dilemma. 3) Explain why your game is a Prisoner's Dilemma.Use the following payoff matrix for a one-shot game to answer the accompanying questions. A 5,5 0, -200 B -200, 0 20, 20 Determine the Nash equilibrium outcomes that arise if the players make decisions independently, simultaneously, and without any communication. Which of these outcomes would you consider most likely? Explain. 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, and what outcome do you think would occur as a result?Table 15.4, Prisoner Dilemma. Suppose the game starts with both Jesse and Frank planning to “Stay Mum” in the lower right cell. Discuss how each player would evaluate the situation and decide whether to change decisions. If each player makes decisions to minimize the penalty, in which cell will this game end? Is there a Nash equilibrium?
- In business, sports, politics, and many other fields there are probably countless situations akin to the prisoner's dilemma where players acting in their own self-interest do not produce an ideal outcome. Likewise, some player dynamics also illustrate other game theory concepts like a game of chicken, credible threats/commitments, and other similar concepts. Use at least one article from The Wall Street Journal to discuss a strategic situation between players that resembled or used any of the concepts above. What could have any of the players done differently to achieve a better outcome?Use the following payoff matrix for a one-shot game to answer the accompanying questions. a. Determine the Nash equilibrium outcomes that arise if the players make decisions independently, simultaneously, and without any communication. Which of these outcomes would you consider most likely? Explain. 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, and what outcome do you think would occur as a result? c. Suppose player 2 can choose its strategy before player 1, that player 1 observes player 2’s choice before making her decision, and that this move structure is known by both players. What outcome would you expect? Explain.The game of Chicken is played by two teens who speed toward each other on a single-lane road. The first to veer off is branded the chicken, whereas the one who does not veer gains peer-group esteem. Of course, if neither veers, both die in the resulting crash. Payoffs to the Chicken game are provided in the following table. Team 2 Veer Does not veer Team 1 Veer 2, 2 1, 3 Does not veer 3, 1 0, 0 The first payoff number is for Teen 1 and the second number is for Teen 2. a) Does any of the players has a dominant strategy? b) Find the pure-strategy Nash equilibrium or equilibria. c) Suppose the game is played sequentially. Find the Nash equilibrium.
- In the game presented in Table, what are the Nash equilibrium strategies for players A and B?Describe the prisoner's dilemma Define Nash equilibrium. What is the Nash equilibrium of the prisoner's dilemma? Name two circumstances in which rational actors playing the prisoner's dilemma game can reasonably be expected not to end up in the Nash EquilibriumIn 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. a. Develop the game theory table for this game. The values should be expressed as the gains (or losses) for Player A. b. 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? d. 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. с.