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Prove that a three-player 0-normalized game whose core is nonempty, and satisfying v(S) ≥ 0 for every coalition S, is monotonic.
Is this true also for games with more than three players? Justify your answer.
Does it hold true without the condition that v(S) ≥ 0 for every coalition? Justify your answer.
Does this game have a subgame perfect Nash equilibrium? - Do you think any one of the players has a strategy that guarantees him a win (a payoff of 2)?
Identify which player can benefit from making a strategic move, identify the natu re of the strategic move appropriate for this purpose.
Prove that in a two-player zero-sum game, every correlated equilibrium payoff to Player I is the value of the game in mixed strategies.
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.
Show that when α = γ = 1, for any value of λ > 0 the game studied above has an (asymmetric) Nash equilibrium in which each type t1 of player 1 bids (1 + λ)t1 and each type t2 of player 2 bids (1 + 1/λ)t2.
Find the set of Nash equilibria (mixed as well as pure) of the game in Figure 1. Show that the game is dominance solvable; - find the pair of payoffs that survives. Find an order of elimination such that more than one outcome survives.
For the time-frame of this study, once a market has reached a higher category, it won't fall back to a lower category. What is the probability that Logistics will stop providing service to an Intermediate market before becoming a High market?
Describe an example of the Public Key Infrastructure that would explain the differing usages of symmetric and asymmetric encryption and how these encryption methods might use either a substitution or a transposition cipher.
What is the dominant strategy and describe the Nash equilibrium or Nash equilibria, Why did they do this? Do you think that Sun Resorts cares about how many airlines will serve the island? Explain.
Suppose 70% of kids who visit the doctor have a fever, and 15% of kids with a fever have a sore throat. Whats the probability that a kid who goes to the doctor has a fever and a sore throat?
Do you have enough information to calculate the probability that player 2 selects X in equilibrium? If so, what is this probability?
Describe an equilibrium whose payoff is within 0.01 of (5, 6), and an equilibrium whose payoff is within 0.01 of (4, 3).
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