Common Knowledge with Monotone Statistics

COMMON KNOWLEDGE WITH MONOTONE STATISTICSbyJames

When individual statistics are aggregated through a strictly monotone function to an aggregate statistic, common knowledge of the value of the aggregate statistic does not imply, in general, constancy of the individual statistics. This paper discusses two circumstances where it does occur. The rst case arises when partitions are independently drawn: in this case common knowledge of the value of...

Computing with Common Knowledge

There are several situations in which common knowledge becomes important. Among them we have games, social behaviour, and natural language. In this paper we present a multi-agent framework in which the agent are able to use not only their own private knowledge bases bu also the common knowledge they share with other agents. This approach is based on Aumann structures and the language is a simpl...

Common Concepts in Statistics

Addition rule: The probability of any of one of several mutually exclusive events occurring is equal to the sum of their individual probabilities. A typical example is the probability of a baby to be homozygous or heterozygous for a Mendelian recessive disorder when both parents are carriers. This equals to 1/4 + 1/2 = 3/4. A baby can be either homozygous or heterozygous but not both of them at...

Selfish Routing with Common-knowledge

Garing et al [3] is the first paper in which Bayesian Nash equilibrium is treated. They analysis Bayesian extension of routing game specified by the type-space model of Harsanyi [4] as information structure, and they collected several results: (1) the existence and computability of pure Nash equilibrium, (2) the property of the set of fully mixes Bayesian Nash equilibria and (3) the upper bound...

Justification Logics with Common Knowledge