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Game Theory - 博弈论

Algorithmic Game Theory Summative Assignment: Nash equilibria and Auction

Algorithmic Game TheoryAuctionLoad Balancing

Two players, Player 1 and Player 2, take turns removing 1 or 2 cards from a stack of 6 cards, i.e., each of them, every time their turn comes, pick 1 or 2 cards to remove. Player 1 starts the game. Whoever picks the last card wins 1 unit of payo↵ from the other player

COMP34612: Computational Game Theory Group Project: 2-person Stackelberg pricing games

COMP34612Computational Game TheoryStackelberg pricing games

Your task is to create a program that stimulates playing repeated 2-person Stackelberg pricing games as the leader, under conditions of imperfect information.

COMP3477 Algorithmic Game theory - Summative Assignment: Nash Equilibrium, Strategies and Payoffs

Durham UniversityCOMP3477 Algorithmic Game theoryNash EquilibriumPure Nash EquilibriumStrategies and Payoffs

Exercise 1. A set Nof|N|=nneighbours decide simultaneously and independently from each other, on hand whether to build an extension to their home without getting proper planning permission, and on the other hand which of their neighbours to notify the local authority’s planning department about

[2021] Economics 482 Game Theory and Economics - Midterm Exam - Q2 Cournot Competition

Game Theory and EconomicsMidterm ExamNash equilibriumDominant ActionRutgersThe State University of New Jersey

This question is part of the Economics 482 Game Theory and Economics, midterm exam 2021 Spring, Rutgers, The State University of New Jersey. Payoff Matirx

[2021] Economics 482 Game Theory and Economics - Midterm Exam - Q3 Hotelling Game Nash Equilibrium

Game Theory and EconomicsMidterm ExamNash equilibriumDominant ActionRutgersThe State University of New Jersey

This question is part of the Economics 482 Game Theory and Economics, midterm exam 2021 Spring, Rutgers, The State University of New Jersey. Hotelling Game

Stat155 Game Theory - 2022 Fall - Homework 3: Algorithmic Mechanism Design and Revenue Maximizing

Single-Item AuctionsFirst-Price AuctionsSecond-Price AuctionsSponsored Search AuctionsAllocation and Payment RulesMyerson’s Lemma

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).

CSCI 1440/2440 Introduction to Game Theory - Homework 8: EPIC Auctions

USCSCI 1440CSCI 2440Introduction to Game Theory Equal-Revenue DistributionEnglish Auctions

This problem concerns Japanese auctions, a variant of the classic English auction that poses demand queries rather than value queries, and that forbids bidders from re-entering after exiting (i.e., skipping even one round of bidding in) the auction.

INFR11020 Algorithmic Game Theory and Applications - Homework 1: Nash equilibrium and Farkas Lemma

University of EdinburghINFR11020Algorithmic Game Theory and ApplicationsNash equilibriumFarkas Lemma

One variant of the Farkas Lemma says the following: Farkas Lemma A linear system of inequalities Ax ≤ b has a solution x if and only if there is no vector y satisfying y ≥ 0 and yT A = 0 (i.e., 0 in every coordinate) and such that yT b < 0.

CSCI 1440/2440 Introduction to Game Theory - Homework 2: Introduction to Auctions

USCSCI 1440CSCI 2440Introduction to Game TheoryIntroduction to AuctionsBayesian Prisoners’ Dilemma

Alice and Bob devise a plan to steal the jade monkey before the next full moon. They realize that it’s in a glove compartment, and decide to use a 3d-printed key to break in. However, Alice forgets to bring the key, so the pair gets caught and put into jail.

Economics 482 Game Theory and Economics - Problem Set 4 : Nash equilibrium

Rutgers UniversityEconomics 482Game Theory and EconomicsDominant StrategyNash EquilibriumPure Strategies

Consider the following Bertrand game between two firms, firm 1 and firm 2. As in the standard Bertrand game, each firm’s action is a choice of price (that is, some nonnegative real number).

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