Journal ArticleDOI
Reaching a Consensus
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In this article, the authors consider a group of individuals who must act together as a team or committee, and assume that each individual in the group has his own subjective probability distribution for the unknown value of some parameter.Abstract:
Consider a group of individuals who must act together as a team or committee, and suppose that each individual in the group has his own subjective probability distribution for the unknown value of some parameter. A model is presented which describes how the group might reach agreement on a common subjective probability distribution for the parameter by pooling their individual opinions. The process leading to the consensus is explicitly described and the common distribution that is reached is explicitly determined. The model can also be applied to problems of reaching a consensus when the opinion of each member of the group is represented simply as a point estimate of the parameter rather than as a probability distribution.read more
Citations
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Journal ArticleDOI
Models of Opinion Formation: Influence of Opinion Leaders
TL;DR: In this paper, the authors studied the evolution of the distribution of opinions in a population of individuals in which there exist two distinct subgroups of highly-committed, well-connected opinion leaders endowed with a strong convincing power.
Journal ArticleDOI
From local averaging to emergent global behaviors: The fundamental role of network interconnections
Giacomo Como,Fabio Fagnani +1 more
TL;DR: A number of fundamental results and examples scattered through the literature are gathered here and some original approaches and generalizations are presented, emphasizing the deep interplay between the network interconnection structure and the emergent global behavior.
Journal ArticleDOI
Event-triggered consensus of nonlinear multi-agent systems with stochastic switching topology
Lei Liu,Jinjun Shan +1 more
TL;DR: An event-triggered consensus controller is developed with the consideration of discontinuous state feedback and a sufficient condition for the stochastic stabilization of the networked multi-agent systems is proposed based on the Lyapunov functional method.
Journal ArticleDOI
Production and financial linkages in inter-firm networks: structural variety, risk-sharing and resilience
TL;DR: In this article, a simple theoretical model of shock transfer is built to investigate some stylized facts on how firm-idiosyncratic shocks are allocated in the network, and how this allocation changes firm default probabilities.
Journal ArticleDOI
Opinion influence and evolution in social networks: a Markovian agents model
TL;DR: A stochastic multi-agent model for opinion dynamics that explicitly accounts for a centralized tuning of the strength of interaction between individuals within a social network is proposed, implying, among other things, that the influence intensity affects the variance, but not the expectation, of the number of individuals sharing a certain opinion.
References
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Journal ArticleDOI
An Introduction to Probability Theory and Its Applications
David A. Freedman,William Feller +1 more
Journal ArticleDOI
An Introduction to Probability Theory and Its Applications.
Book
A first course in stochastic processes
Samuel Karlin,Howard M. Taylor +1 more
TL;DR: In this paper, the Basic Limit Theorem of Markov Chains and its applications are discussed and examples of continuous time Markov chains are presented. But they do not cover the application of continuous-time Markov chain in matrix analysis.
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