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- Consider the following Guessing Game. There are n = 10 players simultaneously choosing a number in {1, 2, 3}. The winners are those closest to 1/2 the average guess (they evenly split the prize between the winners if there is more than one). Find the set of rationalizable strategy profiles. Justify your answer. please no handwriting and this course about game theory (topic Rationalizability) answer with all steps, pleaseYour teacher in Principle of Finance class told you that there will be no averaging of the grades or curve grading. It means that students will get the marks they received and there is no adjustment. This also means that every student has a possibility to get A grade because your grade does not depend on the performance of your classfellows. Therefore, Zainab decided to study 3 hours every day regardless of what your classfellows are doing. In the language of game theory what kind of strategy she is using. Please explain your answer.Can you explain what the Pure Coordination Game is and provide an example of one?
- Game theory: Consider a collective action game with thirty individuals (N = 30). When the number of participants in the joint project is n, each individual, including shirkers, receives a benefit of B(n) = 18n and each participant incurs a cost of C(n) = 32 − 2n. 1. Find all of the Nash equilibria, both stable and unstable ones. 2. Find the socially optimal outcome. 3. Check if any of the Nash equilibria is socially optimal. Explain your answer.I am struggling with this question for a Game Theory course. It would be great to have a visual breakdown of how to solve it so that I understand what to do for the rest of the problems.Ak
- In 'the dictator' game, one player (the dictator) chooses how to divide a pot of $10 between herself and another player (the recipient). The recipient does not have an opportunity to reject the proposed distribution. As such, if the dictator only cares about how much money she makes, she should keep all $10 for herself and give the recipient nothing. However, when economists conduct experiments with the dictator game, they find that dictators often offer strictly positive amounts to the recipients. Are dictators behaving irrationally in these experiments? Whether you think they are or not, your response should try to provide an explanation for the behavior.Chris Evans (Don't Party, Stalk) Party Don't Party Find the Nash equilibrium for this simultaneous move game. (Party, Don't Stalk) (Don't Party, Don't Stalk) Paparazzo (Party, Stalk) Stalk 3,4 1, 1 Don't Stalk 4, 2 1,2Which of the following would be best understood with game theory? Group of answer choices How two car dealerships choose prices when the prices of one dealership affects the sales of the other. A person choosing among retirement plans offered at her job The decision of what foods to buy at a grocery store
- Part 1 Sam and Ray do not like each other and will be miserable if they attend the same event. Both are going out Friday night to either the bar or a concert; and Sam will publicly tweet where he is going before Ray makes his plans. Each will get 6 payoff from going to a concert and 2 benefit from going to the bar if the other is not there. If both go to the same venue, they will get a payoff of zero. Write a game tree for this game and find the equilibrium strategy and equilibrium payoffs clearly labeling both. Part 2 Take the game from the question above and switch the order of the decisions. Write a game tree for this game and find the equilibrium strategy and equilibrium payoffs clearly labeling both. Has the equilibrium strategies and payoffs changed from the question above? Explain why.Fred and Naomi are trying to decide how to spend Sunday. Their payoffs in terms of satisfaction are below. Fred's strategy Football Naomi strategy Football Movie There is no dominant strategy Dominant strategy is football Dominant strategy is movie There is no Nash equilibrium 5,3 1,1 Movie 0,0 3,5QUESTION 18 Imagine the following game: The players: Emirates Airlines and Etihad Airlines The choice: cut fares by 50% or leave fares alone If both airlines cut fares, Each airline's profit = 400 million If neither airline cuts fares, Each airline's profit = 600 million If only one airline cuts its fares, Its profit = 800 million The other airline's profits = 200 million How many million each company will make in the Nash equilibrium of the game?