The Coase literature presumes that agents will passively accept a prop
erty rights assignment, and then bargain. We use a game-theoretic appr
oach to show that rational agents may instead attempt to rent-seek ove
r the initial rights distribution. In this additional stage to the Coa
se bargaining problem, the parties expend resources in an effort to in
fluence the property rights assignment. The characterization of the eq
uilibrium in this expanded model suggests that low transactions costs
will encourage rent-seeking behavior.