Ising model versus normal form game

By Serge Galam, Bernard Walliser. 2009

61 citations recorded by the source corpus.

The 2-spin Ising model in statistical mechanics and the 2×2 normal form game in game theory are compared. All configurations allowed by the second are recovered by the first when the only concern is about Nash equilibria. But it holds no longer when Pareto optimum considerations are introduced as in the prisoner’s dilemma. This gap can nevertheless be filled by adding a new coupling term to the Ising model, even if that term has up to now no physical meaning. An individual complete bilinear objective function is thus found to be sufficient to reproduce all possible configurations of a 2×2 game. Using this one-to-one mapping new perspectives for future research in both fields can be envisioned.

Subfields: Management Science and Operations Research, Statistical and Nonlinear Physics

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Management Science and Operations Research

1. Weinan Zhang
2. Yaodong Yang
3. M. Zhou
4. Jun Wang
5. Rui Luo

In Statistical and Nonlinear Physics

1. M. Zhou
2. Weinan Zhang
3. Minne Li
4. Jun Wang
5. Yaodong Yang
6. Rui Luo

Citations in the corpus

• Mean Field Multi-Agent Reinforcement Learning (2018, background): “It also has wide applications in sociophysics (Galam & Walliser, 2010).”