Question on Game Theory

Revision en1, by kunaajain, 2016-10-19 11:30:08

Hi this was a recent coding question asked by a company. Its over, so safe to discuss now. I am interested in strategies approaches for this :)

‘samu’ and ‘vibhu’ are playing a game where there are N integers from 1 to N lying on the table. In each turn, the player gets to pick one integer to mark as visited from among the previously unvisited ones. If in a turn, the player picks a number which completes the picking of three consecutive numbers, he wins. i.e., say at some stage in the game 2 and 4 are already picked(visited) if the player now picks 3, he wins. Assuming samu starts first and both the players play perfectly optimally, who is the winner.

Tags game theory, algorithms

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en1 English kunaajain 2016-10-19 11:30:08 691 Initial revision (published)