In this paper we study "investment tournaments," a class of decision problems that involve gradual allocation of investment among several alternatives whose values are subject to exogenous shocks. The decision-maker's payoff is determined by the final values of the alternatives. An important example of career tournaments motivating our research is the career choice problem, since a person ... [Show full abstract] choosing a career often starts by investing in learning several professions. We show that in a broad range of cases it is optimal for the decision-maker in each time period to allocate all resources to the most promising alternative. We also show that in tournaments for a promotion the agents would rationally put forth a higher effort in an early stage of the tournament in a bid to capture a larger share of employer's investment, such as mentoring.