Peer production projects such as Wikipedia or open-source software development allow volunteers to collectively create knowledge based products. The inclusive nature of such projects poses difficult challenges for ensuring trustworthiness and combating vandalism. Prior studies in the area deal with descriptive aspects of peer production, failing to capture the idea that while contributors collaborate, they also compete for status in the community and for imposing their views on the product. In this paper we investigate collaborative authoring in Wikipedia where contributors append and overwrite previous contributions to a page. We assume that a contributors goal is to maximize ownership of content sections such that content owned (or originated) by her survived the most recent revision of the page. We model contributors interactions to increase their content ownership as a noncooperative game where a players utility is associated with content owned and cost is a function of effort expended. Our results capture several real life aspects of contributors interactions within peer production projects. We show that at the Nash equilibrium there is an inverse relationship between the effort required to make a contribution and the survival of a contributors content. In other words majority of the content that survives is necessarily contributed by experts who expend relatively less effort than non experts. An empirical analysis of Wikipedia articles provides support for our models predictions. Implications for research and practice are discussed in the context of trustworthy collaboration as well as vandalism.