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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.
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
Scenario As described by William Poundstone, imagine that you just notice that electricity has gone out for your entire neighborhood. the electrical company can send somebody to
A type of initial worth auction during which a "clock" initially indicates a worth for the item for sale substantially beyond any bidder is probably going to pay. Then, the clock g
Backward induction is an iterative procedure for resolving finite general form or sequential games. First, one decides the finest policy of the player who makes the last move of th
Consider a game in which player 1 chooses rows, player 2 chooses columns and player 3 chooses matrices. Only Player 3''s payoffs are given below. Show that D is not a best response
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
Nineteenth century French economist attributed with the introduction of the theory of profit maximizing producers. In his masterpiece, The Recherches, published in 1838, Cournot pr
a) Show that A counting proof could be fun(?). But any old proof will do. (Note that the coefficients (1,2,1) in the above are just the elements of the second row of Pas
Rollback shows that Boeing chooses peace over war if Airbus enters, so Airbus will enter. Rollback equilibrium entails Airbus playing “Enter” and Boeing playing “Peace if entry”; e
A general term for an English auction in which there is no reserve price, guaranteeing that the object will be sold to the highest bidder regardless of the quantity of the bid.
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