What capital accumulation has to do with it? People with enough capital obviously don't have to work anymore, so they're out of the working pool, and don't have

What capital accumulation has to do with it? People with enough capital obviously don't have to work anymore, so they're out of the working pool, and don't have an impact on the level of competition. There are intermediate states, like someone drawing a pension from his capital, but still working part-time for extra income, but there aren't enough of them to disrupt the fundamental dynamics.