منابع مشابه
MATHEMATICAL MODELLING FOR DICE FINDER GAME PROBLEM
Play is often episodic and mission-centric, with a series of challenges culminating in a final puzzle or enemy that must be overcome. Multiple missions played with the same characters may be related to each other in a plot arc of escalating challenges. The exact tone, structure, pace and end (if any) vary from game to game depending on the needs and preferences of the players, as in [9]. "THE C...
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We present and solve optimality equations for the 2-player, jeopardy dice game Farkle (a.k.a. Dix Mille, Ten Thousand). For fairest play, we recommend 200 compensation points at the beginning of the game for the second player. We then compute the strategy that maximizes expected score, demonstrate a means for replicating such play with mental mathematics, and augment this method so as to enable...
متن کاملPractical Play of the Dice Game Pig
The object of the jeopardy dice game Pig is to be the first player to reach 100 points. Each turn, a player repeatedly rolls a die until either a 1 is rolled or the player holds and scores the sum of the rolls (i.e., the turn total). At any time during a player’s turn, the player is faced with two choices: roll or hold. If the player rolls a 1, the player scores nothing and it becomes the oppon...
متن کاملPedagogical Possibilities for the Dice Game Pig
Simple examples are teaching treasures. Finding a concise, effective illustration is like finding a precious gem. When such an example is fun and intriguing, it is educational gold. In this paper, we share the jeopardy dice game of Pig, which has extremely simple rules, engaging play, and a complex optimal policy. We describe its historical uses in mathematics, and share ways in which we have u...
متن کاملA Game of Nontransitive Dice
We consider a two player simultaneous-move game where the two players each select any permissible n-sided die for a fixed integer n. A player wins if the outcome of his roll is greater than that of his opponent. Remarkably, for n > 3, there is a unique Nash Equilibrium in pure strategies. The unique Nash Equilibrium is for each player to throw the Standard n-sided die, where each side has a dif...
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ژورنال
عنوان ژورنال: SSRN Electronic Journal
سال: 2010
ISSN: 1556-5068
DOI: 10.2139/ssrn.1588602