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In the following two-player zero-sum game, find the optimal behavior strategies of the two players. (Why must such strategies exist?)
The program asks the user four questions. It converts the person's favourite color, person's gender and person's level of education into a corresponding number. Finally a lucky number is generated based on a mathematical expression using these num..
Do you think farmers collected more or less hay once this law was established and do you think Iceland's prosperity improved because of good neighbors?
What is the accumulated value at t = 30 of a 30 year ordinary annuity that has the first of its annual payments equal to $1000 and subsequent payments increasing by 2% through the 10th payment and equal to $1500 for all the remaining payments? Use..
Find the top cycle set, and for each alternative a in the set design a binary agenda for which a is the outcome of sophisticated voting.
What is the probability that one of the women will speak first? What is the probability that Abby will speak before Cameron does?
Write down the extensive-form game tree. - Find a separating perfect Bayesian Nash equilibrium in which the company chooses a different action depending on the drug's efficacy.
What are the Nash equilibria of each stage-game?- What is the lowest value of δ for which the subgame-perfect equilibrium you found in (b) survives?
Consider a two-player game and suppose that s* and t* are Nash equilibrium strategy profiles in the game.- Must it be the case that {s1*, t1*} * {s2*, t2*} is a weakly congruous strategy set? Explain why or why not.
What are the ingredients of a simultaneous-move game? Show (using simple examples) how one might propose a "solution" for such games. Comment on the strengths and weaknesses of your solution concept(s).
Use the given payoff matrix for a simultaneous move one shot game to answer the accompanying questions.
Electoral Competition between candidates who care only about winning position- Consider a variant of Hotelling's model in which the candidates (like citizens) care about the winner's position, and not at all about winning per se. Find the set of N..
What is the profit-maximizing output level xM? What is the profit-maximizing price pM - In absence of recurring fixed costs, what is the monopolist's profit?
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