We study quid pro quo trade negotiations—i.e., agreements in which each country simultaneously concedes on one issue in exchange for a reciprocal concession on another—within the canonical Nash bargaining framework. Departing from the standard “single-issue” paradigm, we model negotiations as a multi-dimensional bargaining problem in which the set of feasible utilities is non-convex due to issue linkages and political-economy constraints.

Theoretical result:

We derive the Nash solution and show that quid pro quo exchanges increase the bargaining surplus relative to issue-by-issue negotiations if and only if concessions are negatively correlated in political cost across countries.

Empirical calibration:

Calibrating the model to data on 1995–2022 WTO bargaining episodes, we find that quid pro quo deals raise expected joint surplus by 8–14% relative to single-issue talks, with the largest gains realised in agriculture–services linkages.

Counterfactual analysis:

Counterfactual analysis indicates that a 10% fall in bargaining frictions would have accelerated the conclusion of the Doha Round by roughly three years.

Conclusion:

Our results formalise a rationale for issue linkage that is distinct from standard terms-of-trade manipulation and provide new guidance for structuring efficient multilateral negotiations.