When it comes to expressing the idea of running for something, there are a few different synonyms that can be used to convey the same meaning. For example, one might say that they are vying for a position, competing for a job, or campaigning for an election. Additionally, the phrases "putting oneself forward for" or "throwing one's hat in the ring for" can both be used to express the idea of running for something. Regardless of which of these synonyms one chooses, the overall meaning remains the same - one is expressing a desire to secure a specific role or position through effort, ambition, or competition.