We analyze the Shapley value allocation of an economy with differentia
l information. Since the intent of the Shapley value is to measure the
sum of the expected marginal contributions made by an agent to any co
alition to which he/she belongs, the value allocation of an economy wi
th differential information provides an interesting way to measure the
information advantage of an agent. This feature of the Shapley value
allocation is not necessarily shared by the rational expectation equil
ibrium. Thus, we analyze the informational structure of an economy wit
h differential information from a different and new viewpoint. In part
icular we address the following questions: How do coalitions of agents
share their private information? How can one measure the information
advantage or superiority of an agent? Is each agent's private informat
ion verifiable by other members of a coalition? Do coalitions of agent
s pool their private information? Do agents have an incentive to repor
t their true private information? What is the correct concept of a val
ue allocation in an economy with differential information? Do value al
locations exist in an economy with differential information? We provid
e answers to each of these questions.