Ignoring ignorance and agreeing to disagree

Ignoring ignorance and Agreeing to Disagree *

A model of information structure and common knowledge is presented which does not take states of the world as primitive. Rather, these states are constructed as sets of propositions, including propositions which describe knowledge. In this model information structure and measurability structure are endogenously defined in terms of the relation between the propositions. In particular, when agent...

Euthanasia: agreeing to disagree?

In discussions about the legalisation of active, voluntary euthanasia it is sometimes claimed that what should happen in a liberal society is that the two sides in the debate "agree to disagree". This paper explores what is entailed by agreeing to disagree and shows that this is considerably more complicated than what is usually believed to be the case. Agreeing to disagree is philosophically p...

Agreeing to Disagree and Dilation

We consider Geanakoplos and Polemarchakis’s generalization of Aumman’s famous result on “agreeing to disagree”, in the context of imprecise probability. The main purpose is to reveal a connection between the possibility of agreeing to disagree and the interesting and anomalous phenomenon known as dilation. We show that for two agents who share the same set of priors and update by conditioning o...

Agreeing to disagree: a survey

Agreeing to Disagree in Infinite Information Structures

Several authors have recently studied the game theory aspects of generalized information structures, that is, information structures that are not partitions. Such structures are needed when we wish to impose some restrictions on the concept of knowledge or bound rationality (see [3] and [4]). Some theories that were developed for partitions do not hold for generalized information structures or ...