Hold-up Problem, explained.
The hold-up problem arises when a party anticipates losing part of the return on a relationship-specific investment through later bargaining.
Why it happens
Investment i costs 10i and creates surplus 15i. The investor retains either 50% or a stipulated protected 80%. Its net return is θ15i−10i, while joint net gain is 5i. Commit the investment, then reset to compare the contract rule.
The hold-up problem arises when a party anticipates losing part of the return on a relationship-specific investment through later bargaining.
Read the result
Read private payoff beside joint gain. A positive joint return can coexist with a negative investor return when bargaining transfers much of the surplus.
A worked example
A supplier's specialised machine
Choose investment five under fifty-percent retention. Cost is fifty, surplus seventy-five and your net payoff is minus twelve and a half.
Commit and inspect the partner's share; the investment still creates a joint gain of twenty-five despite your private loss.
Reset and choose eighty-percent retention. The same investment now returns ten net units to you under the protection assumption.
OPTIONAL DEEPER DETAILGo deeper: inside the model
Inside this model
Investment i costs 10i and creates surplus 15i. The investor retains either 50% or a stipulated protected 80%. Its net return is θ15i−10i, while joint net gain is 5i. Commit the investment, then reset to compare the contract rule.
Where this idea is useful
A practical use
A supplier may avoid specialised equipment if an important buyer can renegotiate after the equipment has little alternative use.
A common misconception
“A jointly valuable investment will always be made.”
Decision makers respond to their anticipated private returns and constraints. Later bargaining can discourage an investment whose total benefits exceed costs.
What this explanation leaves out
- Retention shares and enforceability are authored assumptions. This is not legal advice or a complete incomplete-contract model; alternative buyers, uncertainty and complex ownership rights are excluded.
Does an eighty-percent contract solve every hold-up problem?
Only within this stipulated model. Whether a contract can specify, verify and enforce the relevant investment or outcome is itself a central practical difficulty.
Who captures the value after an irreversible investment, and how does that affect willingness to invest?
Associated thinkers
Associations marked provisional are awaiting source review.
Further reading
Explore the original research or the teaching reference behind this experiment.