Agreeing to disagree with generalised decision functions
We 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.
|Date of creation:||23 Feb 2011|
|Date of revision:|
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- Robert J. Aumann, 2010.
"Correlated Equilibrium as an expression of Bayesian Rationality,"
Levine's Working Paper Archive
661465000000000377, David K. Levine.
- Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
- R. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Bibliography 513, UCLA Department of Economics.
- 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.
- D. Samet, 1987.
"Ignoring Ignorance and Agreeing to Disagree,"
749, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Giacomo Bonanno & Klaus Nehring, .
"Assessing The Truth Axiom Under Incomplete Information,"
Department of Economics
97-03, California Davis - Department of Economics.
- Bonanno, Giacomo & Nehring, Klaus, 1998. "Assessing the truth axiom under incomplete information," Mathematical Social Sciences, Elsevier, vol. 36(1), pages 3-29, July.
- Klaus Nehring & Giacomo Bonanno, 2003. "Assessing The Truth Axiom Under Incomplete Information," Working Papers 973, University of California, Davis, Department of Economics.
- Robert J. Aumann & Sergiu Hart & Motty Perry, 2005.
"Conditioning and the Sure-Thing Principle,"
784828000000000193, UCLA Department of Economics.
- Robert J Aumann, 1999. "Agreeing to Disagree," Levine's Working Paper Archive 512, 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.
- Robert J. Aumann, 1999. "Interactive epistemology I: Knowledge," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(3), pages 263-300.
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