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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.
Three flowcharts and the game board for your mousetrap game should be submitted. You can use board_design.pdf to help you lay out your board. Basically, you can use any shapes you
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
A market mechanism during which an object, service, or set of objects is being purchased, instead of sold, to the auctioneer. The auction provides a selected set of rules which wil
Two people are involved in a dispute. Person 1 does not know whether person 2 is strong or weak; she assigns probability to person 2 being strong. Person 2 is fully informed. 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.
How do I eliminate weakly dominated strategy
In a positive add game, the combined payoffs of all players aren't identical in each outcome of the sport. This differs from constant add (or zero add) games during which all outco
A static game is one during which all players build choices (or choose a strategy) simultaneously, while not information of the methods that are being chosen by different players.
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
PROBABILITY AND EXPECTED UTILITY Most students know the elementary combinatorial rules for probability algebra and need only a refresher with some exam- ples. We have used card
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