Topology in Game Theory

This is a paper on the applications of topology in game theory, specifically on how Nash equilibria of strategy manifolds motivate the importance of various fixed point theorems. I discuss an example, Brouwer’s Fixed Point Theorem, and present the proof of it via the winning strategy of the Game of Hex.

 

The Non-Arbitrary Evolution of Life Intensity

This is a piece of writing expressing my thoughts on the morality of the commercial farming of animals. Are humans superior moral agents?

 
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Father Nature’s Apprentice

Fractals are able to communicate chaos to a young boy in a paradoxical reality — an infinite quest for clarity within a finite domain of intelligence.