$L$ workers match with $F$ firms. Each worker can match with at most one firm. Each firm can match with at most one worker.
| $\cred{\mathcal L}$ | Workers | $\cred{w}$ | Wage of worker $l$ | |
| $\cred{\mathcal F}$ | Firms | $\cred{\pi_f}$ | Profit of firm $f$ | |
| $\cred{v_{lf}}$ | Surplus from matching worker $l$ with firm $f$ | $\cred{x}$ | A matching. $x_{lf}$ is 1 if $l$ is matched with $f$, 0 otherwise |