Culture Magazine

Evolution and Thermodynamics

By Bbenzon @bbenzon
Thermodynamics of Evolutionary Games Christoph Adami, Arend Hintze (Michigan State University) (Submitted on 9 Jun 2017)
How cooperation can evolve between players is an unsolved problem of biology. Here we use Hamiltonian dynamics of models of the Ising type to describe populations of cooperating and defecting players to show that the equilibrium fraction of cooperators is given by the expectation value of a thermal observable akin to a magnetization. We apply the formalism to the Public Goods game with three players, and show that a phase transition between cooperation and defection occurs that is equivalent to a transition in one-dimensional Ising crystals with long-range interactions. We also investigate the effect of punishment on cooperation and find that punishment acts like a magnetic field that leads to an "alignment" between players, thus encouraging cooperation. We suggest that a thermal Hamiltonian picture of the evolution of cooperation can generate other insights about the dynamics of evolving groups by mining the rich literature of critical dynamics in low-dimensional spin systems.
Subjects: Populations and Evolution (q-bio.PE); Statistical Mechanics (cond-mat.stat-mech); Biological Physics (physics.bio-ph) Cite as: arXiv:1706.03058 [q-bio.PE] (or arXiv:1706.03058v1 [q-bio.PE] for this version)

You Might Also Like :

Back to Featured Articles on Logo Paperblog

These articles might interest you :

  • Big Food Giants Manipulate Public Health Policy in China

    Food Giants Manipulate Public Health Policy China

    Coca-Cola is at it again. As soda sales decline in the United States and Europe, beverage companies look to emerging economies like China for growth. And, it... Read more

    The 15 January 2019 by   Dietdoctor
    DIET & WEIGHT, HEALTH, HEALTHY LIVING, MEDICINE
  • Jewellery for a Precious You

    Jewellery Precious

    Jewellery is always close to a woman’s heart. It completes her look and boost confidence. Considering the changing trends in jewellery fashion, it becomes... Read more

    The 15 January 2019 by   Dr.jenifer Sayyed
    LIFESTYLE
  • Rajshri Productions’ Next Is A Film On Friendship | Hum Chaar | Trailer

    Abhishek Dixit’s debut feature film Hum Chaar is a Bollywood film made under the banner of Rajshri’s film. Hum Chaar is written and directed by Abhishek Dixit. Read more

    The 15 January 2019 by   Themoviean
    ENTERTAINMENT, MOVIES
  • Saint Paul the First Hermit

    Saint Paul First Hermit

    Today is the feast day of Saint Paul the hermit. This is a sweet and delicate Oatmeal Bread topped with rolled oats and naturally sweetened with agave. Saint... Read more

    The 15 January 2019 by   Veronica46
    FOOD & DRINK, RECIPES
  • Irupathiyonnaam Noottaandu | Teaser | Pranav Mohanlal | Arun Gopy

    Arun Gopy’s Irupathiyonnaam Noottaandu is an upcoming Malayalam action-drama feature film starring Pranav Mohanlal and Zaya David in the lead roles. Read more

    The 15 January 2019 by   Themoviean
    ENTERTAINMENT, MOVIES
  • A Year Of Body Positivity

    Year Body Positivity

    Last January, as I sat there on New Years eve all set to make the same old resolutions I've made year after year for as long as I can remember, I realised how... Read more

    The 15 January 2019 by   Sparklesandstretchmarks
    DIARIES, SELF EXPRESSION
  • Garden Bloggers Bloom Day – Jan 2019

    Garden Bloggers Bloom 2019

    Euphorbia rigidaWhen I went out to take the photos for this blog post I was surprised at how much was in flower dotted around the garden. Read more

    The 15 January 2019 by   Patientgardener
    GARDENING, HOME