Agreeing to disagree with generalised decision functions
AbstractWe develop a framework that allows us to emulate standard results from the “agreeing to disagree" literature with generalised decision functions (e.g. Bacharach (1985)) in a manner the avoids known incoherences pointed out by Moses and Nachum (1990). We analyse the implications of the Sure-Thing Principle, a central assumption. The upshot is that the way in which states are described matters, and that the results fail if decisions are allowed to depend on interactive information. Furthermore, using very weak additional assumptions, we extend all previous results to models with a non-partitional information structure in a coherent manner. Finally, we provide agreement theorems in which the decision functions are not required to satisfy the Sure-Thing Principle.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 29066.
Date of creation: 23 Feb 2011
Date of revision:
Agreeing to disagree; knowledge; common knowledge; belief; information; epistemic logic;
Find related papers by JEL classification:
- D89 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Other
- D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
- D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
This paper has been announced in the following NEP Reports:
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- R. Aumann, 2010.
"Correlated Equilibrium as an expression of Bayesian Rationality,"
513, UCLA Department of Economics.
- Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
- Robert J. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Working Paper Archive 661465000000000377, David K. Levine.
- Samet, Dov, 2010.
"Agreeing to disagree: The non-probabilistic case,"
Games and Economic Behavior,
Elsevier, vol. 69(1), pages 169-174, May.
- Bonanno, Giacomo & Nehring, Klaus, 1998.
"Assessing the truth axiom under incomplete information,"
Mathematical Social Sciences,
Elsevier, vol. 36(1), pages 3-29, July.
- Giacomo Bonanno & Klaus Nehring, . "Assessing The Truth Axiom Under Incomplete Information," Department of Economics 97-03, California Davis - Department of Economics.
- Klaus Nehring & Giacomo Bonanno, 2003. "Assessing The Truth Axiom Under Incomplete Information," Working Papers 973, University of California, Davis, Department of Economics.
- Samet, Dov, 1990.
"Ignoring ignorance and agreeing to disagree,"
Journal of Economic Theory,
Elsevier, vol. 52(1), pages 190-207, October.
- Robert J. Aumann & Sergiu Hart & Motty Perry, 2005.
"Conditioning and the Sure-Thing Principle,"
Discussion Paper Series
dp393, The Center for the Study of Rationality, Hebrew University, Jerusalem.
- Robert J Aumann, 1999. "Agreeing to Disagree," Levine's Working Paper Archive 512, David K. Levine.
- Robert J. Aumann, 1999. "Interactive epistemology I: Knowledge," International Journal of Game Theory, Springer, vol. 28(3), pages 263-300.
- Bacharach, Michael, 1985. "Some extensions of a claim of Aumann in an axiomatic model of knowledge," Journal of Economic Theory, Elsevier, vol. 37(1), pages 167-190, October.
- Tarbush, Bassel, 2011. "Generalisation of Samet's (2010) agreement theorem," MPRA Paper 29067, University Library of Munich, Germany.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Ekkehart Schlicht).
If references are entirely missing, you can add them using this form.