Measuring Power and Satisfaction in Societies with Opinion Leaders: Dictator and Opinion Leaders

Measuring satisfaction and power in influence based decision systems

“…In the second step, a flow of influence from some actors over others is able to change the choices of some of them [34]. Following those ideas, van den Brink et al introduced a collective decision-making model called opinion leader-follower model (OLF) [35]. The subjacent influence structure is based on a society with opinion leaders, followers and independent actors.…”

Satisfaction and Power in Unanimous Majority Influence Decision Models

“…The associated collective decision function C M : {0, 1} n → {0, 1} is defined as C M (x) = 1 iff |{i ∈ V | y i = 1}| ≥ q. Motivated by the theoretical study of the effects that collective decision-making can have on the participants, satisfaction (Sat) and power (Pow) measures were defined in [8]. The satisfaction of i ∈ V is the number of initial decisions for which the final collective decision coincides with the initial decision of i.…”

Power Indices of Influence Games and New Centrality Measures for Agent Societies and Social Networks

“…However, the idea of using power indices as measures in networks is not new. The interested reader is referred to [3] for studies concerning power indices in flow networks and to [53,54] for measurements of power and satisfaction in societies.…”

“…However, the idea of using power indices as measures in networks is not new. The interested reader is referred to [3] for studies concerning power indices in flow networks and to [53,54] for measurements of power and satisfaction in societies.On the other hand, our satisfaction measure is inspired on the concept of opinion leadership, which has received considerable attention in sociology and marketing. It rose out of the two-step flow of communication theory introduced by [31,36].…”

“…The existence -or non-existence-of opinion leaders in a society has a considerable impact on environments of marketing and politics. These issues have been addressed recently on theoretical grounds by [53,54]. In these papers the authors consider a society formed by a social network with two layers, leaders and followers -they also consider independent actors, who are not related to the other actors in the network-, and they introduce the measures of satisfaction and power.…”