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Reputation is generally defined as the opinion of a group on an aspect of a thing. This paper presents a reputation model that follows a probabilistic modelling of opinions based on three main concepts: (1) the value of an opinion decays with time, (2) the reputation of the opinion source impacts the reliability of the opinion, and (3) the certainty of the opinion impacts its weight with respec...

We consider the following distributed consensus problem: Each node in a complete communication network of size n initially holds an opinion, which is chosen arbitrarily from a finite set Σ. The system must converge toward a consensus state in which all, or almost all nodes, hold the same opinion. Moreover, this opinion should be valid, i.e., it should be one among those initially present in the...

In daily decision making, people often solicit one another’s opinions in the hope of improving their own judgment. According to both theory and empirical results, integrating even a few opinions is beneficial, with the accuracy gains diminishing as the bias of the judges or the correlation between their opinions increases. Decision makers using intuitive policies for integrating others’ opinion...

Multinomial subjective opinions are a special type of belief functions, where belief mass can be assigned to singletons of the frame as well as to the whole frame, but not to overlapping subsets of the frame. The multiplicative product of two multinomial opinions applies to the Cartesian product of the two corresponding frames. The challenge when multiplying multinomial opinions is that the raw...

Dollo's Law, the idea that the loss of complex features in evolution is irreversible, is a popular concept in evolutionary biology. Here we review how application of recent phylogenetic methods, genomics and evo-devo approaches is changing our view of Dollo's Law and its underlying mechanisms. Phylogenetic studies have recently demonstrated cases where seemingly complex features such as digits ...

The opinions reflected in this paper are the opinions of the author and not opinions of their institution.