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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The thermodynamic limit of Axelrod's model

The thermodynamic limit of Axelrod's model

Portes Biral, Elias José

Paperback

Physics

ISBN10: 6209576230
ISBN13: 9786209576232
Publisher: Our Knowledge Publishing
Published: Jan 24 2026
Pages: 60
Weight: 0.21
Height: 0.14 Width: 6.00 Depth: 9.00
Language: English
In the mid-1990s, political scientist Robert Axelrod proposed a model of cultural dissemination, in which agents interact locally according to the principles of homophily and social influence, aiming to answer the question: 'If people interact with each other and, through interaction, become more similar, why are there cultural differences in our society?' Each agent is considered an element of a matrix and is modelled by a list of F cultural characteristics, each assuming q possible states. The initial cultural identities of each agent are defined randomly with equal probability for the q F different identities. However, in the one-dimensional model with F=q=2, Monte Carlo simulations show convergence to monocultural configurations in about 30% of the initial condition choices, while the exact analytical results indicate that monocultural convergence should always occur. In this book, we show that the discrepancy between the simulations and the exact results occurs due to the non-commutativity of the thermodynamic limit, in which the size of the network tends to infinity, and the asymptotic time limit.

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