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Parrondo's paradox, a paradox in game theory, has been described as: A combination of losing strategies becomes a winning strategy.

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Parrondo's Paradox

This repository stores MATLAB code used to simulate Parrondo's Paradox and the paper describing our results. The Parrondo’s Paradox is a seemingly absurd phenomenon where two losing strategies can be combined to produce a winning outcome. The paper present in this repository represents an effort to analyze the 'paradox' and explain it using mathematics, namely linear algebra.

Figure below was generated using MATLAB. Game A and Game B are two losing games, Game C is comprised by randomly playing Game A and Game B. As we can see Game C is a winning game.

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The work on this project was done for the Intermediate Linear Algebra class at Bowdoin College taught by Professor Pietraho, who always offered deep mathematical insight and guidance along the way. Parts of the simulation code were kindly provided by Professor Pietraho.

This work was done as a group project with Parikshit Sharma, Marcus Christiansen, and Ernesto Garcia without whom it would not be possible.

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Parrondo's paradox, a paradox in game theory, has been described as: A combination of losing strategies becomes a winning strategy.

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