Abstract: |
Consider a mechanism for the binary public good provision problem that is
dominant strategy incentive compatible (DSIC), ex-post individually rational
(EPIR), and ex-post budget balanced (EPBB). Suppose this mechanism has the
additional property that the utility from participating in the mechanism to
the lowest types is zero for all agents. Such a mechanism must be of a
threshold form, in which there is a fixed threshold for each agent such that
the public good is not provided if there is an agent with a value below her
threshold and is provided if all agents' values exceed their respective
threshold. There are mechanism that are DSIC, EPIR, and EPBB that are not of
the threshold form. Mechanisms that maximize welfare subject to DSIC, EPIR,
and EPBB must again have the threshold form. Finally, mechanisms that are
DSIC, EPIR, EPBB and that furthermore satisfy the condition that there is at
least one type profile in which all agents can block the provision of the
public good, also must be of the threshold form. As we allow individuals'
values for the public good to be negative and positive, our results cover
examples including bilateral trade, bilateral wage negotiations, a seller
selling to a group of individuals (who then have joint ownership rights), and
rezoning the use of land. |