Here's a list of similar / duplicate requests on the main Meta.StackOverflow site:

- [Shouldn't a rep-less newbie at least be able to upvote a good answer to his/her own questions?](https://meta.stackexchange.com/questions/1661/shouldnt-a-rep-less-newbie-at-least-be-able-to-upvote-a-good-answer-to-his-her-o)
- [Allow upvote for <15 rep users on own questions [closed]](https://meta.stackexchange.com/questions/88560/allow-upvote-for-15-rep-users-on-own-questions)
- [Allow new users to vote on answers they've received [closed]](https://meta.stackexchange.com/questions/38834/allow-new-users-to-vote-on-answers-theyve-received)
- [Why is 15 reputation required to upvote?](https://meta.stackexchange.com/questions/41347/why-is-15-reputation-required-to-upvote)

I guess you can read through them to get the idea why users want the ability, and why it is declined.

The main idea is: With 1 rep, you haven't gained any trust yet. The site only trusts you voting until you've proven that you've understood the system (i.e. by asking a good question or posting a good answer).