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
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Posted Content
Conditions for the Emergence of Shared Norms in Populations with Incompatible Preferences
TL;DR: Pressuring others to perform the same public behavior as oneself is more effective in promoting norms than pressuring others to meet one’s own private preference, and it is shown that adaptive group pressure exerted by randomly occuring, local majorities may create norms under conditions where different behaviors would normally coexist.
Journal ArticleDOI
Group Communication and the Transformation of Judgments: An Impossibility Result
TL;DR: The authors developed a model of judgment transformation and proved a baseline impossibility theorem: any judgment transformation function satisfying some initially plausible conditions is the identity function, under which no opinion change occurs, and argued that the kind of group communication envisaged by deliberative democats must be "holistic": it must focus on webs of connected propositions, not on one proposition at a time.
A microfoundation of social influence in models of opinion formation
TL;DR: In this article, the authors provide a general framework of social influence inspired by the social psychological concept of cognitive dissonance, where individuals strive to minimize dissonance resulting from different opinions compared to neighbor individuals in a given social network.
Journal ArticleDOI
Consensual Decision-Making Among Epistemic Peers
TL;DR: The authors used the Lehrer-Wagner model as a formal tool for investigating consensual decision-making and found that the equal weight view is sufficient to resolve disagreement among epistemic peers.
Proceedings ArticleDOI
Secure and Privacy-Preserving Average Consensus
TL;DR: In this article, the authors propose an approach that enables secure and privacy-preserving average consensus in a decentralized architecture in the absence of any trusted third-parties, leveraging homomorphic cryptography.
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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