1. The irrelevant information principle for collective probabilistic reasoning
- Creator:
- Adamčík, Martin and Wilmers, George
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- uncertain reasoning, discrete probability function, social inference process, maximum entropy, Kullback-Leibler, and irrelevant information principle
- Language:
- English
- Description:
- Within the framework of discrete probabilistic uncertain reasoning a large literature exists justifying the maximum entropy inference process, \ME, as being optimal in the context of a single agent whose subjective probabilistic knowledge base is consistent. In particular Paris and Vencovská completely characterised the \ME inference process by means of an attractive set of axioms which an inference process should satisfy. More recently the second author extended the Paris-Vencovská axiomatic approach to inference processes in the context of several agents whose subjective probabilistic knowledge bases, while individually consistent, may be collectively inconsistent. In particular he defined a natural multi-agent extension of the inference process \ME called the social entropy process, \SEP. However, while \SEP has been shown to possess many attractive properties, those which are known are almost certainly insufficient to uniquely characterise it. It is therefore of particular interest to study those Paris-Vencovská principles valid for \ME whose immediate generalisations to the multi-agent case are not satisfied by \SEP. One of these principles is the Irrelevant Information Principle, a powerful and appealing principle which very few inference processes satisfy even in the single agent context. In this paper we will investigate whether \SEP can satisfy an interesting modified generalisation of this principle.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public