State-Space Visualization and Fractal Properties of Parrondo’s Games (original) (raw)

This research explores the state-space visualization and fractal properties of Parrondo's games, revealing the paradox where individually losing games can combine to yield a winning outcome. The paper emphasizes the use of Markov transition operators and dynamical systems theory to analyze these games and introduces novel ways to visualize their properties. Through various simulations and analytical results, the study elucidates the mathematical underpinnings and implications of Parrondo's paradox, extending its relevance to numerous fields including physics, economics, and network theory.