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Assignment:
Consider participating in a new sport. Follow your decision-making process from beginning to end. What information did you collect? From whom? How did you evaluate your alternatives?
The management of Madeira Computing is considering the introduction of a wearable electronic device with the functionality of a laptop computer and phone.
What are the Nash equilibria of each stage-game? - How many pure strategies does each player have in the multistage game?
What are the rationalizable strategies for the players? - Is there a symmetric Nash equilibrium, in which all of the players play the same strategy?
ABC wants to enter a swap contract. In particular, ABC needs to buy 123 units of Corn 6 months from now at a price K per unit, and buy 298 units of Corn 12 mont
Packaging can serve many purposes such as protecting a product, providing information about the product, and motivating your purchase.
Suppose that (N; v) is a coalitional game such that set of imputations X(N; v) is nonempty, and such that nucleolus x∗ differs from prenucleolus x^.- Prove that the nucleolus is located on the boundary of the set X(N; v).
Suppose that there are four alternatives, w, x, y, and z. Find the top cycle set. Show, in particular, that z is in the top cycle set even though all committee members prefer w.
What region(s) did you select as trading partner(s), and why? Mutual benefits form the basis for nations to engage in international trade, and how could one track mutual benefit from this simulation?
Draw the sets R1(p) and R2(q), for every p and q.- Which of the following sets is a B-set for Player 1, which one is a B-set for Player 2, and which one is neither?
Write the payoff vectors corresponding to the equilibria of these games to reveal a pattern. - Can you tell to what the payoff vector of the T-stage game converges as T becomes large?
Prove the following claims:- If strategy σk approaches a set C for player k, then it approaches every supersetof C for that player.
Prove that x is the only imputation in the game, and in particular it is the nucleolus.- Is x necessarily also the prenucleolus? Either prove this statement, or provide a counterexample.
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