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March 2010
Tags

strategy

Tags: geometry : arithmetic : strategy : arithmetico-geometric series


Tags: strategy : game of chance : maximisation


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Steven J. Brams uses the Cuban missile crisis to illustrate the Theory of Moves, which is not just an abstract mathematical model but one that mirrors the real-life choices, and underlying thinking, of flesh-and-blood decision makers.

Tags: strategy : chicken : theory of moves : stable strategy : mixed strategy : nash equilibrium


Tags: strategy


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Backgammon is said to be one of the oldest games in the world. In this article, Jochen Blath and Peter Mörters discuss one particularly interesting aspect of the game - the doubling cube. They show how a model using Brownian motion can help a player to decide when to double or accept a double.

Tags: strategy : doubling cube : stochastic process : Brownian motion : independence : stopping time : Backgammon : doubling strategy : random walk


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Tags: strategy : error-correcting code : game theory : Hamming code


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Combinatorial Game Theory is a powerful tool for analysing mathematical games. Lewis Dartnell explains how the technique can be used to analyse games such as Twentyone and Nim, and even some chess endgames.

Tags: strategy : chess : combinatorial game theory : twenty-one : nim : partisan game : non-partisan game


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How do you choose a partner? Is it an irrational choice or is it made rationally, based on a mathematical model which analyses the best potential partner you are likely to meet?

Tags: strategy : simulation : decision theory : Googol : optimal stopping


Tags: computer simulation : strategy : Monte Carlo method : Monopoly board game