Quite often, a firm has to decide between investing in a safe project (``small'') where rewards and losses remain moderate and a risky alternative (``big'') where the rewards and the losses are larger. We study such a choice in a context where the probability of success depends both on the...

The "Weakest Link" is a game show full of paradox. To increase the probability of winning, contestants should eliminate the strongest players. Yet, if it is anticipated that the best player is to be eliminated, participants do not answer questions correctly and nothing is gained. We solve a game...