J. Bergin et A. Sen, EXTENSIVE FORM IMPLEMENTATION IN INCOMPLETE INFORMATION ENVIRONMENTS, Journal of economic theory (Print), 80(2), 1998, pp. 222-256
We study the implementation of social choice rules in incomplete infor
mation environments. A sufficiency condition called posterior reversal
is given for extensive form implementation. The condition has a natur
al interpretation in signaling terms: Consistent posterior distributio
ns under truth-telling are different from consistent posteriors under
deception. This variation in the distribution over player types leads
to variation in the distribution over actions and outcomes (comparing
truth-telling and deception). We exploit this feature to implement soc
ial choice rules. (C) 1998 Academic Press.