Dear Economist: Would more politicians mean less corruption?

Here in India (as in most other parts of the world), we have an unwritten rule that all politicians are corrupt. Therefore, politics is not the first choice of occupation for most individuals. However, if all politicians are indeed corrupt, wouldn't that mean that all politicians benefit more than the rest. Shouldn't the rational choice therefore be that more people join politics? Also, if more people get into politics, should the "competition" reduce the amount of corruption?