# Agreeing to disagree.

@article{Aumann2006AgreeingTD, title={Agreeing to disagree.}, author={R. Aumann}, journal={Nature cell biology}, year={2006}, volume={8 8}, pages={ 775 } }

Two people, 1 and 2, are said to have common knowledge of an event E if both know it, 1 knows that 2 knows it, 2 knows that 1 knows it, 1 knows that 2 knows that 1 knows it, and so on.

#### 1,154 Citations

On Logic of Belief-Disagreement among Agents

- Psychology, Computer Science
- LORI
- 2011

Epistemic disagreement and agreement between two agents have been considered by game theorists and logicians[1][2]. But they are discussed only from the view of knowledge.

Aggregate information , common knowledge and agreeing not to bet ∗

- 2009

This note considers gambles that take place even if only some – but not all – individuals agree to participate. I show that the bet cannot take place if it is commonly known how many individuals are… Expand

Strong belief and agreeing to disagree

- Mathematics
- 2013

In this paper, we extend Aumann’s agreement theorem to a framework where beliefs are modeled by a conditional probability system a la Battigalli and Siniscalchi (1999). Indeed, if posterior beliefs… Expand

Direct and Indirect Common Belief

- Psychology
- 2014

We give informal definitions of the concepts of direct and indirect common belief, illustrating them by an example. We then provide an analysis of these concepts within public announcement logic… Expand

Possibility to agree on disagree from quantum information and decision making

- Mathematics
- 2014

The celebrated Aumann theorem states that if two agents have common priors, and their posteriors for a given event E are common knowledge, then their posteriors must be equal; agents with the same ...

Agreeing to disagree without the countable additivity axiom

- Mathematics
- 2006

An example is given in which agents “agree to disagree”. It relies on the absence of the countable additivity axiom.

Agreeing to disagree: The non-probabilistic case

- Mathematics, Computer Science
- Games Econ. Behav.
- 2010

A non-probabilistic generalization of Aumann's agreement theorem is proved based on a new version of the sure-thing principle that makes an interpersonal-intrastate comparison of knowledge. Expand

Agreeing to agree and Dutch books

- Mathematics, Computer Science
- Games Econ. Behav.
- 2015

It is shown that in a finite state space, when the agents cannot tell whether E occurred or not, agreeing to agree is possible for E if and only if there is no Dutch book on E. Expand

Logic for Describing Strong Belief-Disagreement Between Agents

- Mathematics, Computer Science
- Stud Logica
- 2018

The notion of belief-disagreement as well as belief-agreement can facilitate gaining a clearer understanding of the acts of trade and speech. Expand

Intersubjective Consistency Of Beliefs And The Logic Of Common Belief

- Mathematics
- 1995

We characterize the class of n-person belief systems for which common belief has the properties of the strongest logic of belief, KD45. The characterizing condition states that individuals are not… Expand

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COMPETITIVE EQUILIBRIUM UNDER UNCERTAINTY11This research was supported in part by the Office of Naval Research under Contract ONR 222(77) with the University of California. Reproduction in whole or in part is permitted for any purpose of the United States Government.

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