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Category Archives: Game theory
Proving Nash’s Theorem (Part 2)
As promised, I will attempt to finish up the rest of the proof for Nash’s Theorem tonight (albeit a few weeks late). Let’s start again with a few definitions from where we left off. A subset of is compact if … Continue reading
Posted in Game theory, Math
Tagged brouwer's fixed point theorem, game theory, nash equilbrium
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Proving Nash’s Theorem
I decided to split the post on finding mixed equilibra and proving the Nash Equilibrium into two posts because both are quite mathematically dense and very involved. This section in particular contains mainly intricate definitions and is not for the … Continue reading
Posted in Game theory, Math
Tagged game theory, nash, nash equilibrium, simplex, sperner's lemma
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Nash Equilibrium in Game Theory
Continuing on from last week’s post on the different strategies in game theory, I will talk about the most important equilibrium in game theory: the Nash Equilibrium. (I am still referencing Essentials of Game Theory). I must point out that … Continue reading
Strategies in Normal Games
Today I’m going to go over the terminology for different strategies of normal games. You can find the information I’m about to write in Essentials of Game Theory, but I will be elaborating on some important concepts and hopefully making … Continue reading
Posted in Game theory, Math
Tagged game theory, games, math concepts, strategy, strategy profile, utility
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Introductory Game Theory: Most Common Types of Games
I recently came across another game theory book, Essentials of Game Theory, that introduces the fundamental math concepts behind the discipline. Since I’ve been doing quite a bit of coding over the last few months, I thought it might be a good … Continue reading
Posted in Game theory, Math
Tagged game theory, games, math concepts, utility maximization
1 Comment
The Universal Language of Mentalese
As a game theory enthusiast, I recently began reading Meaningful Games because it seems to apply the theory to a new area which I never considered before. But several chapters into the book, I became sidetracked with a discussion on Mentalese. What intrigued … Continue reading
Prisoner’s dilemma in an RNA virus
This is a rather old article but I particularly like it for the novelty of the idea of applying game theory to small entities. It is also mathematically nonrigorous, but the game theoretical ideas presented are very accurate. Game theory … Continue reading