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

Combining simultaneous and sequential moves, Combining Simultaneous and...

Combining Simultaneous and  Sequential Moves The material in this chapter covers a variety of issues that require some knowledge of the analysis of both sequential- move

Borel, Borel was maybe the primary to outline the notion of games of strate...

Borel was maybe the primary to outline the notion of games of strategy. He printed many papers on poker, incorporating themes of imperfect data and credibility. Whereas his writing

Games sequential moves-game played b/w pitcher and batter, Problem: Consid...

Problem: Consider a (simplified) game played between a pitcher (who chooses between throwing a fastball or a curve) and a batter (who chooses which pitch to expect). The batter ha

Case study in game theory - color coordination, Game 1 Color Coordination (...

Game 1 Color Coordination (with Delay) This game should be played twice, once without the delay tactic and once with it, to show the difference between out- comes in the s

Game playing in class-equilibrium payoffs example, (a) Equilibrium payoffs ...

(a) Equilibrium payoffs are (1, 0). Player A’s equilibrium strategy is S; B’s equilibrium strategy is “t if N.”   For (a): Player A has two strategies: (1) N or (2) S. P

Sequential game, A sequential game is one during which players build choice...

A sequential game is one during which players build choices (or choose a strategy) following an exact predefined order, and during which a minimum of some players will observe the

Incentive, A payoff offerd as a bequest for someone partaking in some activ...

A payoff offerd as a bequest for someone partaking in some activity that doesn't directly provide her with profit. Often, such incentives are given to beat the ethical hazard drawb

Pareto coordination game, Scenario Two corporations should simultaneousl...

Scenario Two corporations should simultaneously elect a technology to use for his or her compatible merchandise. If the corporations adopt totally different standards, few sales

Hawk-dove game , Scenario The hawk-dove game is additionally commonly ca...

Scenario The hawk-dove game is additionally commonly called the sport of chicken. 2 hooligans with one thing to prove drive at one another on a slender road. The primary to swer

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