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Prove that for every coalitional game (N; v) there exists a coalitional structure B for which the set of imputations X(B; v) is nonempty.
Find a babbling perfect Bayesian equilibrium of this game. - What is the most informative perfect Bayesian equilibrium of this game?
Analyze the renewable resource problem for N players. Is it true that all of the resource is extracted in the first period if N approaches infinity?
Represent this game in the extensive and normal forms. - Find the pure-strategy Nash equilibria of this game. - Calculate the mixed-strategy Nash equilibria and note how they depend on x.
Download a shareware version of some commercial software. Design a plan for converting the shareware version to a full version without paying one cent.
What is the strategy space (the set of strategies) for each player? What is the payoff for each player as a function of the strategy profiles? Compute the set of rationalizable effort levels for each player.
While grading in a final exam, an economics professor found that two students have virtually identical answers. She is convinced two cheated but cannot prove it.
Consider now an evolutionary game where what evolves are not strategies in a one-shot game but strategies in a repeated game without discounting
Draw this game in extensive form. - Using a matrix representation, find all the pure-strategy Bayesian Nash equilibria for this game.
What is the equilibrium outcome to the Stackelberg game if the absolute value of the slope of firm 2's best-response function exceeds 1? Why?
In a public opinion poll, 48% of 189 respondents favor an elimination of taxes on dividend income.
Explain which player has the winning strategy and how the identity of the winning player depends on m and n. If you can, also describe the winning strategy.
If a citizen who voted in the last election is randomly selected, what is the probability that they are a Democrat?
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