This study clarifies the conditions under which learning in games produces convergence to Nash equilibria in practice. We experimentally investigate the role of supermodularity, which is closely related to the more familiar concept of strategic complementarities, in achieving convergence through learning. Using a game from the literature on solutions to externalities, we find that supermodular and “near-supermodular” games converge significantly better than those far below the threshold of supermodularity. From a little below the threshold to the threshold, the improvement is statistically insignificant. Increasing the parameter far beyond the threshold does not significantly improve convergence.

We develop a new rationale for corporate spin-offs, and for the performance and value improvements following them, based on corporate control considerations. We consider a firm with multiple divisions, with incumbent management having different abilities for managing these divisions. If the incumbent loses control to a more able rival, it benefits all shareholders (including the incumbent) by increasing equity value, but involves the incumbent losing his private benefits of control. We show that a spin-off increases the incumbent's chance of losing control to such a rival. This, in turn, motivates the incumbent either to work harder at managing the firm (in order to avoid any loss of control), or to relinquish control of one of the firms resulting from the spin-off (either immediately following the spin-off, or subsequently in a control contest). We show that spin-offs will be associated with positive announcement effects and increases in long-term operating performance. Further, certain categories of spin-offs will exhibit long-term positive abnormal stock returns.