Challet D, Marsili M, Zecchina R
Institut de Physique Theorique, Universite de Fribourg, CH-1700 Fribourg, Switzerland.
Phys Rev Lett. 2000 Feb 21;84(8):1824-7. doi: 10.1103/PhysRevLett.84.1824.
We study analytically a simple game theoretical model of heterogeneous interacting agents. We show that the stationary state of the system is described by the ground state of a disordered spin model which is exactly solvable within the simple replica symmetric ansatz. Such a stationary state differs from the Nash equilibrium where each agent maximizes her own utility. The latter turns out to be characterized by a replica symmetry broken structure. Numerical results fully agree with our analytical findings.
我们通过分析研究了一个由异质相互作用主体构成的简单博弈论模型。我们表明，该系统的稳态由一个无序自旋模型的基态描述，此模型在简单的复制对称假设下可精确求解。这样的稳态不同于纳什均衡，在纳什均衡中每个主体都使自身效用最大化。后者结果显示具有复制对称破缺结构的特征。数值结果与我们的分析发现完全一致。
