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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.
The ideas underlying game theory have appeared throughout history, apparent within the bible, the Talmud, the works of Descartes and Sun Tzu, and also the writings of Chales Darwin
A sequential game is one among imperfect data if a player doesn't grasp precisely what actions different players took up to that time. Technically, there exists a minimum of one da
Players 1 and 2 are bargaining over how to split one dollar. Both players simultaneously name shares they would like to keep s 1 and s 2 . Furthermore, players' choices have to be
A reserve worth is that the minimum acceptable bid in an auction. If no bidder submits a bid higher than the reserve worth, the auctioneer keeps the item offered for sale. Alternat
A strategy defines a collection of moves or actions a player can follow in a very given game. a method should be complete, defining an action in each contingency, together with peo
Scenario Two conspirators are arrested and interrogated separately. If one implicates the opposite, he might go free whereas the opposite receives a life sentence. Yet, if each
A priori knowledge usually enables us to decide that some coefficients must be zero in the particular equation, while they assume non-zero values in other equations of the system.
An auction during which bidders simultaneously submit bids to the auctioneer while not information of the number bid by different participants. Usually, the very best bidder (or lo
A proxy bidder represents the interests of a bidder not physically gift at the auction. Typically, the bidder can inform his proxy of the most quantity he's willing to pay, and als
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
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