Find the shortest sequence of moves that is to win the game, Game Theory

You and an opponent are seated at a table, and on the table is a square board. At each of the four corners of the board, there is a disc, each one red on one side and black on the other. You are blindfolded, and thus cannot see the configuration of the discs, but you claim that you can flip the discs such that they are all facing with the same color up. On each move, you can flip either one or two discs (either adjacent or diagonal to each other). If this results in a winning state, your opponent must announce that. Otherwise, your opponent may choose to rotate the board 0°, 90°, 180°, or 270°. Find the shortest sequence of moves that is guaranteed to win the game, no matter what rotations of the board are made. Be sure to include a proof that your solution is correct and that it is the shortest possible.

Posted Date: 4/1/2013 5:16:09 AM | Location : United States







Related Discussions:- Find the shortest sequence of moves that is to win the game, Assignment Help, Ask Question on Find the shortest sequence of moves that is to win the game, Get Answer, Expert's Help, Find the shortest sequence of moves that is to win the game Discussions

Write discussion on Find the shortest sequence of moves that is to win the game
Your posts are moderated
Related Questions
GAME 2 The Tire Story Another game that we have successfully played in the first lecture is based on the “We can’t take the exam; we had a flat tire”. Even if the students hav

Tower defense - is a subgenre of real-time strategy games. The goal of tower defense games is to try to stop enemies from crossing a map by building towers which shoot at them as t

Matches or different objects are organized in 2 or a lot of piles. Players alternate removing some or all of the matches from anyone pile. The player to get rid of the last match w

Ship, Captain and Crew (sometimes called Ship, Captain and Mate) was a popular bar game played for drinks with five dice and throwing cup. Each player gets three throws. He has to

The Cournot adjustment model, initial proposed by Augustin Cournot within the context of a duopoly, has players choose methods sequentially. In every amount, a firm selects the act

A type of sequential second worth auction during which an auctioneer directs participants to beat the present, standing bid. New bids should increase the present bid by a predefine

A type of sequential second worth auction, just like an English auction during which an auctioneer frequently raises the present worth. Participants should signal at each worth lev

This chapter introduces mixed strategies and the methods used to solve for mixed strategy equilibria. Students are likely to accept the idea of randomization more readily if they t

What do meant by Monopolistic competition? Monopolistic competition is a market structure wherein: 1. There are several competing producers into an industry, 2. Every pro

For the section on dynamic games of competition, you can begin by asking if anyone in the class has played competi- tive tennis (club or collegiate or better); there is usually one