The iterative elimination of strongly dominated strategies (IESDS) and mixed-equilibrium solution concepts are studied in an iterated two-person investment game with discrete strategy spaces, non-recoverable investments, and either equal or unequal investment capital. In this game, the player investing the largest amount wins the competition and receives a fixed reward; ties are counted as losses. Both cases of symmetric and asymmetric dyads are studied theoretically and experimentally. Results from two experiments provide support for the mixed-strategy equilibrium solution on the aggregate but not the individual level, and evidence for a hierarchy of bounded IESDS. © 2000 Elsevier Science B.V.