Faith / RENT SEEKING AND FIXED-SHARE POOLS 445
generational transfers a child receives from his or her parents depends
not only on his or her share but also on howmuch the parents leave in
their estate, the inheritance “pool,” and other transfers made to the
child while the parents are still alive. Each child then has an incentive
to get his or her parents to make intervivos transfers to the child rather
than waiting until the parents die to get a payoff. Of course, the more
that is transferred in the form of intervivos gifts, the less that is avail-
able in aggregate for inheritance. Those children who are more highly
favored in the inheritance pool relative to the gift pool will seek to have
a smaller gift pool (even though that means less gifts for himself or
herself) and a larger inheritance pool. Those more highly favored in
the gift pool will do the opposite. For the altruistic parent, the problem
is to choose a set of shares that will minimize aggregate rent seeking.
One can showunder some minimal assumptions that equal shares will
accomplish the parents’ goal (see Faith and Tollison 2001).
Formally, suppose that there is a set of n players competing for
shares of two fixed pools of resources, which contain the amounts A
and B, respectively. Each player is entitled to a fixed share of pool B
equal to αi, i = 1 to n, where Σαi = 1 and some amount gi taken from
pool A (where Σgi = A). Each player then has a wealth of αiB + gi. A
player can augment his or her wealth by participating in a winner-
take-all game in which an amount t is transferred from pool A to pool
B, or vice versa, depending on the winning player’s initial shares in
pools A and B. If player k wins and elects to transfer t from A to B, ev-
ery player i receives an additional αit from pool B, and each non-
winning player receives [1/(n – 1)]t less from pool A. If player k wins
and elects to transfer t from pool B to pool A, every player loses αit
from pool B, and the all of the transfer t is captured by player k. Players
compete for the right to transfer t from one pool to another by making
an expenditure on influence ei. The probability pi that player i will win
the right to make a transfer is equal to i’s expenditure as a fraction of
total expenditures across all players, or pi = ei/Σei.5 Finally, we will as-
sume that one of the n players is favored over all of the others in the
sense that player n’s share of pool B is greater than any other player’s
share. A novel feature of this game is that the winning participant’s
costs comprise his or her own expenditure and the loss due to shrink-
ing his or her claim from the pool the amount t is taken from. Likewise,
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