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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.
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
Another term for a preserved bid auction in which bidders simultaneously submit bids to the auctioneer with no knowledge of the amount bid by other member. Usually, the uppermost b
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why might an airline offer the following deal: you pay 400 for a round trip ticket from here to orlando, but you only pay 300 per ticket if you stayy in orlando includes a saturday
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
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1. The publishing industry in the country of Font, where the local currency is the stet, is dominated by two companies, the Arial Book Co. and Verdana Works Ltd.. Currently, both o
In Bontemps, Louisiana there are only two places to spend time: Merlotte's bar and Fangtasia. Sookie and Eric have made plans to spend Friday night together, but they never decided
Two people are engaged in a joint project. If each person i puts in the effort xi, the outcome of the project is worth f(x1, x2). Each person’s effort level xi is a number between
A simultaneous game is one during which all players build choices (or choose a strategy) while not information of the methods that are being chosen by different players. Although t
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