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Treball de fi de grau

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cc-by-nc-nd (c) Jordà i Coll, Enrique, 2026
Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/231422

Phase transition and evolutionary mechanisms in a grand canonical minority game

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Resum

We consider the grand canonical minority game as a model for financial markets. We first characterise the phase transition of the standard minority game and the grand canonical variant between a symmetric, unpredictable phase and an asymmetric, predictable phase and identify the critical point. Then we look at two evolutionary mechanisms: competitive selection and cooperation through imitation. Through overcrowding, competition destroys the asymmetric phase. Limited imitation recovers the asymmetric phase and reduces volatility relative to competitive selection. These results suggest that, in this model, coordination is not maximised by selecting the most successful agents but by preserving sufficient strategic heterogeneity

Descripció

Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2026, Tutor: Miquel Montero Torralbo

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Citació

JORDÀ I COLL, Enrique. Phase transition and evolutionary mechanisms in a grand canonical minority game. [consulted: 12 of September of 2026]. Available at: https://hdl.handle.net/2445/231422

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