Studies of ambition often frame decisions to run for reelection, seek higher office, or retire in terms of the nature of those opportunities and the risks associated with them. However, career decisions can also be framed in terms of the value of one's present position, which depends on what we refer to as institutional attachments. In contrast to institutional positions (leadership, committee chairs), institutional attachments relate to social position in the legislature and how it has changed over time. In this article, we explore how factors related to institutional attachments influence career decisions. Specifically, we ask whether a legislator's cohort, including its size, compatibility, and experience in possessing majority status affect the propensity to exhibit static ambition. Looking at a sample of more than 5500 state legislative open‐seat opportunities in 47 states between 2003 and 2016, we find some but not all these traits are predictive of career decisions.