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Good Math, Bad Math

Finding the fun in good math; Shredding bad math and squashing the crackpots who espouse it.

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Mark Chu-Carroll (aka MarkCC) is a PhD Computer Scientist, who works for Google as a Software Engineer. My professional interests center on programming languages and tools, and how to improve the languages and tools that are used for building complex software systems.

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Game Theory:

Solving Tic-Tac-Toe: Game Tree Basics

Category: Game Theory

Moving on from simple zero-sum games, there are a bunch of directions in which we can go. So far, the games we've looked at are very restrictive. Beyond the zero-sum property, they're built on a set of fundamental properties...

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Utility Functions

Category: Game Theory

Before we move beyond zero-sum games, it's worth taking a deeper look at the idea of utilities. As I mentioned before, in a game, the scores in the matrix are given by something called a utility function. Utility is...

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Back to Math: Solving Zero-Sum Games

Category: Game Theory

When I last wrote about game theory, we were working up to how to find the general solution to an iterated two-player zero-sum game. Since it's been a while, I'll take a moment and refresh your memory a bit....

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Solving Linear Programming Problems

Category: Game Theory

So, I've finally had some time to get back to the linear programming followup. You might want to go back and look at the earlier post to remember what I was talking about....

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Iterated Zero-Sum Games

Category: Game Theory

The games that we've looked at so far are the simplest case of basic games. In these games, we've got a payoff matrix, and both players can see the whole matrix - the players have equal information, and nothing...

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Simple Games, Utility Functions, and Saddle Points

Category: Game Theory

Last time I wrote about Game Theory, I explained the basic idea of zero sum games. In their simplest form, a game can be described by a payoff matrix,where each dimension of the matrix is the set of strategies...

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Zero Sum Games

Category: Game Theory

In game theory, perhaps the most important category of simple games is something called zero sum games. It's also one of those mathematical things that are widely abused by the clueless - you constantly hear references to the term...

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Nim

Category: Game Theory

As an introduction to a mathematical game, and how you can use a little bit of math to form a description of the game that allows you to determine the optimal strategy, I'm going to talk a bit about...

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Introducing Game Theory

Category: Game Theory

Lots of people wanted game theory, so game theory it is. The logical first question: what is game theory? Game theory is typical of math. What mathematicians like to do is reduce things to fundamental abstract structures or systems,...

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