Gain and loss of esteem, direct reciprocity and Heider balance

Abstract

The effect of gain and loss of esteem is introduced into the equations of time evolution of social relations, hostile or friendly, in a group of actors. The equations allow for asymmetric relations. We prove that in the presence of this asymmetry, the majority of stable solutions are jammed states, i.e. the Heider balance is not attained there. A phase diagram is constructed with three phases: the jammed phase, the balanced phase with two mutually hostile groups, and the phase of so-called paradise, where all relations are friendly.

References in corpus (3)

• Cooperative Game Theory Approaches for Network Partitioning
• Dynamics of Social Balance on Networks
• Social Balance on Networks: The Dynamics of Friendship and Enmity

Cited by in corpus (5)

• Glassy states of aging social networks
• Towards the Heider balance with a cellular automaton
• Heider balance of a chain of actors as dependent on the interaction range and a thermal noise
• Towards the Heider balance -- a cellular automaton with a global neighborhood
• Instability of social network dynamics with stubborn links