Members of organizations are often called upon to trust others and to reciprocate trust while at the same time competing for bonuses or promotions. We suggest that competition affects trust not only within dyads including direct competitors, but also between individuals who do not compete against each other. We test this idea in a trust game where trustors and trustees are rewarded based either on their absolute performance or on how well they do relative to players from other dyads. In Experiment 1, we show that competition among trustors significantly increases trust. Competition among trustees decreases trustworthiness, but trustors do not anticipate this effect. In Experiment 2, we additionally show that the increase in trust under competition is caused by a combination of increased risk taking and lower sensitivity to non-financial concerns specific to trust interactions. Our results suggest that tournament incentives might have a “blinding effect” on considerations such as betrayal and inequality aversion.