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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.
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.
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Tower defense - is a subgenre of real-time strategy games. The goal of tower defense games is to try to stop enemies from crossing a map by building towers which shoot at them as t
Description The simplest of William Poundstone's social dilemmas during which the every player contains a dominant strategy and also the equilibrium is Pareto optimal. the sole
#Dominance method#
A sub game excellent Nash equilibrium is an equilibrium such that players' methods represent a Nash equilibrium in each sub game of the initial game. it should be found by backward
Two people are engaged in a joint project. If each person i puts in the e ort xi, a nonnegative number equal to at most 1, which costs her c(x i ), the outcome of the project is wo
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
The normal kind may be a matrix illustration of a simultaneous game. For 2 players, one is that the "row" player, and also the different, the "column" player. Every rows or column
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