S5 solution to the red hat puzzle

Aumann, R. 1976. Agreeing to disagree. Annals of Statistics 4:1236–1239.10.1214/aos/1176343654Open DOISearch in Google Scholar

Aumann, R. 1999a. Interactive Epistemology I: Knowledge. International Journal of Game Theory 28:263–300.10.1007/s001820050111Open DOISearch in Google Scholar

Aumann, R. 1999b. Interactive Epistemology II: Probability. International Journal of Game Theory 28:301–14.10.1007/s001820050112Open DOISearch in Google Scholar

Geanakoplos, J. 1992. Common Knowledge. Journal of Economic Perspectives 6(4):53–82.10.1257/jep.6.4.53Open DOISearch in Google Scholar

Hintikka, J. 1962. Knowledge and Belief. New York: Cornell University Press.Search in Google Scholar

Koessler, F. 2000. Common Knowledge and Interactive Behaviors: A Survey. European Journal of Economic and Social Systems 14(3):271–308.10.1051/ejess:2000120Search in Google Scholar

Kripke, S. 1959. A Completeness Theorem for Modal Logic. Journal of Symbolic Logic 24:1–14.10.2307/2964568Open DOISearch in Google Scholar

Lewis, D. K. 1969. Convention: A Philosophical Study. Cambridge, MA: Harvard University Press.Search in Google Scholar

Littlewood, J. 1953. A Mathematician’s Miscellany. London: Methuen and Company Limited.Search in Google Scholar

Nagel, R. 1995. Unraveling in Guessing Games: An Experimental Study. The American Economic Review 85(5):1313–1326.Search in Google Scholar

Robinson, R. C. 2006. Bounded Epistemology. SSRN eLibrary. http://ssrn.com/paper=1000697.10.2139/ssrn.1000697Search in Google Scholar

van Benthem, J. 2004. What One May Come To Know. Analysis 64:95–105.10.1093/analys/64.2.95Search in Google Scholar

van der Hoek, W. and Verbrugge, B. 2002. Epistemic Logic: A Survey. In Petrosjan, L. and Mazalov, V., eds., Game Theory and Applications, vol. 8, pp. 53–94. New York: Nova Science Publishers.Search in Google Scholar

Weber, R. 2001. Behavior and Learning in the ‘Dirty Faces’ Game. Experimental Economics 4:229–42.10.1023/A:1013217320474Open DOISearch in Google Scholar