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AMS 335/ECO 355 PROBLEM SET 1: Penalty Kicks, Meeting Up and Price Competition
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Imagine a kicker and a goalie who confront each other in a penalty kick that will determine the outcome of a soccer game. The kicker can kick the ball left or right, while the goalie can choose to jump left or right
ECON 601 - Microeconomics: Theory and Applications - Final Exam - Question 6: Applying theory
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Answer any one question that we have yet to solve in class or lab, other than the two short discussion questions 21 and 28, i.e., any one of problems 8, 12, 14, 16, 18, 19, 22-27 and 29-37
ECON 601 - Microeconomics: Theory and Applications - Final Exam - Question 5: Exchange under incomplete contracts
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Consider a situation where a Buyer seeks to purchase goods for resale from n small business Suppliers, but cannot contract on the quality q of the goods provided, and hence may only decide to terminate a relationship if quality is too low
ECON 601 - Microeconomics: Theory and Applications - Final Exam - Question 4: Social coordination of public outcomes
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Consider a classic tragedy of the fishers where two individuals’ actions have negative external effects on each other and also act as substitutes. Assume that individuals lower and Upper are maximizing utility functions
ECON 601 - Microeconomics: Theory and Applications - Final Exam - Question 3: Social Preferences
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A major theme of this class has been how social preferences influence behavior. Consider two students working on a joint project who care about both their own outcomes as well as the outcomes of students that they work with, such that for each individual i receiving payoffs πi while working with individual j receiving payoff πj
ECON 601 - Microeconomics: Theory and Applications - Final Exam - Question 1: Games and game theory
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Suppose table A is the payoff matrix for the row player in a two-person symmetrical game. Indicate restrictions on the relative values of the payoffs in table A that would be sufficient to define the game as a Prisoner’s Dilemma
ECON 601 - Microeconomics: Theory and Applications - Final Exam - Question 2: Evolutionary dynamics
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Suppose that two cultural groups, red and blue, have housing preferences that vary as a function of the fraction f ∈ [0,1] of red households in the neighborhood, with each group’s relative valuation / price being given
STAT155 Game Theory - Homework 5: Selfish Routing, the Price of Anarchy, Over-Provisioning and Atomic Selfish Routing
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Prove that if C is the set of nonnegative, nondecreasing, and concave cost functions, then α(C)=43 .
STAT155 Game Theory - Homework 4: Simple Near-Optimal Auctions, Multi-Parameter Mechanism, Spectrum Auctions and Stable Matching
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Consider a combinatorial auction in which bidders can submit multiple bids under different names, unbeknownst to the mechanism.
Stat155 Game Theory - 2022 Fall - Homework 3: Algorithmic Mechanism Design and Revenue Maximizing
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Continuing the previous exercise, restrict now to feasible sets X that contain only 0-1 vectors—that is, each bidder either wins or loses. We can identify each feasible outcome with a “feasible set” of bidders (the winners).
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