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players i j are symmetric players if for every coalition s that does not include any one of themvs cup i vs cup ja
passing a bill into law in the united states requires the signature of the president of the united states and a simple
sequencing game don a painter is hired to paint the houses of henry ethan and tom the following table depicts the
the board of directors of a certain company contains four members including the chairman of the boarda motion is passed
a projective game with seven players consider a simple game with seven players with winning coalitions1 2 42 3 51 3 63
a player i in a simple game n v is called a veto player if vs 0 for every coalition s that does not contain i the
market game a set of merchants n1nbsp 1 2 sell their wares in the market each merchant has an initial endowment 0 12
prove that the convex combination of superadditive games is also superadditivein other words if n v and n w are
let 1nbspand 2nbspbe two solution concepts for the family of bargaining games f define another solution concept for
two players are to divide 2000 between them the utility functions of the players are the amounts of money they receive
two players are to divide 2000 between them the utility function of the first player is u1x x the utility function of
let s d isin f be a bargaining gamea prove that there exists a unique efficient alternative in s minimizing the
let be a solution concept for f satisfying symmetry and efficiencyprove that for every symmetric bargaining game s d
prove that the following two claims hold for any closed set c sube rmnbsprecall that m is the maximal payoff of the
prove the following claimsa if strategy sigmaknbspapproaches a set c for player k then it approaches every supersetof c
for each of the following sentences find an example in which the claim of the sentence obtainsa the sets c1nbspand
let c1 be a convex set and let c2 be a convex set containing c1prove that if c1 is a b-set for a certain player then c2
answer the following questions for each one of the games below whose payoffs are in r2a draw the sets r1p and r2q for
answer the following questions for the game below whose payoffs are in r2a draw the sets r1p and r2q for every p and qb
suppose two players are playing the repeated prisoners dilemma with an unknown number of stages after each stage a
describe the following situation as a repeated game with vector payoffs where player 1 is m goriot and player 2
one of the payoffs in the following base game is a parameter labeled x for every x isin 0 1 find the set of equilibrium
find an example of a repeated game and a strategy vector tau such that a tau is an equilibrium of the discounted game
compute the number of pure strategies a player has in a t -stage game with n players where the number of actions of
artemis and diana are avid hunters they devote tuesdays to their shared hobby on monday evening each of them separately