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Undergraduate
By
123forman
on May 8, 2014 | Updated Dec. 6, 2017
Democratic distribution of wealth
A crew of 100 pirates have captured 100 laptops. The pirates are ranked 1 through 100, with pirate 100 being the pirate king. Captured booty is distributed as follows. The pirate king proposes a dis…
Mathematics
Discrete Mathematics
Game Theory
induction
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Graduate
By
Shiva Kintali
on Oct. 12, 2012 | Updated Dec. 6, 2017
Guess the average
Consider the following one-shot game : Each of \(n\) people announces a number in the set \({1,2,\dots,K}\). A prize of \(\\)1{,}000…
Mathematics
Game Theory
nash equilibrium
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Undergraduate
By
Shiva Kintali
on Nov. 6, 2012 | Updated Dec. 6, 2017
Guessing Right
Players 1 and 2 each choose a member of the set \({1,2,\dots,K}\). If the players choose the same number then player 2 pays \(\\)1$ to player 1; otherwise no payment is made. Each player maximizes his…
Mathematics
Game Theory
nash equilibrium
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High School
By
Shiva Kintali
on June 18, 2013 | Updated Jan. 4, 2018
Calling out integers
Two players \(A\) and \(B\) are playing a game. They take turns and call out an integer during their turn. The first player to call out \(50\) wins. They must follow these rules : The first playe…
Mathematics
Puzzles
Game Theory
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math puzzle
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Undergraduate
By
Shiva Kintali
on July 4, 2012 | Updated Dec. 6, 2017
Triangle avoidance game
A triangle avoidance game consists of two players (say \(A\) and \(B\)) beginning with an empty graph on \(n\) vertices. The two players take turns choosing edges within \(K_n\) and coloring them with…
Mathematics
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Game Theory
Graph Theory
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