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

Assignment Help:

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.


Related Discussions:- Find the shortest sequence of moves that is to win the game

equilibrium refinement, An equilibrium refinement provides how of choosing...

An equilibrium refinement provides how of choosing one or many equilibria from among several in a very game. several games might contain many Nash equilibria, and therefore supply

Game playing in class, GAME PLAYING IN CLASS There are several games t...

GAME PLAYING IN CLASS There are several games that are appropriate for use on the first or second day of class. These games are simple but can be used to convey important poin

Player , Any participant in a very game who (i)  contains a nontrivial s...

Any participant in a very game who (i)  contains a nontrivial set of methods (more than one) and (ii) Selects among the methods primarily based on payoffs. If a player is non

Minimum bid, A minimum bid is that the smallest acceptable bid in an auctio...

A minimum bid is that the smallest acceptable bid in an auction. a gap bid, the primary bid placed within the auction, should be a minimum of as high because the minimum bid or the

Iterated dominant strategy equilibrium, What is the Iterated Dominant Strat...

What is the Iterated Dominant Strategy Equilibrium (IDSE) and associated pay-offs? Type your answer in the following form: (c,B) , (6, 4) if you think the outcome is

First price auction, Two individuals, Player 1 and Player 2, are competing ...

Two individuals, Player 1 and Player 2, are competing in an auction to obtain a valuable object. Each player bids in a sealed envelope, without knowing the bid of the other player.

Dominated strategy , A strategy is dominated if, no matter what the other p...

A strategy is dominated if, no matter what the other players do, the strategy earns a player a smaller payoff than another strategy. Hence, a method is dominated if it's invariably

Cardinal payoffs, Cardinal payoffs are numbers representing the outcomes of...

Cardinal payoffs are numbers representing the outcomes of a game where the numbers represent some continuum of values, such as money, market share or quantity. Cardinal payoffs per

Pure-strategy and mixed-strategy equilibria, Take a news story, old or rece...

Take a news story, old or recent, and analyze it from a game theoretic perspective. Provide a hard copy of the source of your news story and consult relevant game theoretic literat

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd