We are interested in the problem of quantum correlations that arise when considering hypothetical two-party interactions between Alice and Bob. In a recent work, (arXiv:1104.1140), the framework for these interactions was used in the context of a game where one of the players, Bob, could use correlations which exhibit strictly non-classical behavior to his advantage. This manifested in an ability of the player to make use of a form of hedging, where the risk of losing a first game was eliminated by offsetting that risk in a second game. In this paper we look at some follow-up questions to that result. We consider whether quantum hedging is possible in a variant of the interaction model motivated by experimental concerns. In particular, we ask whether the hedging behavior still occurs in the case when Bob is allowed to sometimes return no answer to a question, in which case the whole experiment starts again. Additionally, we present some results concerning the existence and amount of hedging in a game that generalizes several of the parameters of the main game studied in (arXiv:1104.1140).