First of all, I searched as best I could and read all SO questions that seem relevant, but nothing specifically answered this. This is not a duplicate, afaik.
Obviously
The Chinese have to share one IPv4 address with hundreds of others; Hp/Compaq/DEC has almost 50 million addresses. IPv6 doesn't help as everyone get addresses by the billion. A person just is not the same as an IP address, and that notion is becoming ever more false.
There are just no proper ways to do this on the Internet. Persons are simply a concept unknown on the Internet, and any idea to introduce the concept is unlikely to succeed. (Too many governments would not want this to happen, for instance.)
Of course, you can relate the amount of votes per IP to the amounf of repeat page visits from that IP, especially in combination with cookie tracking. This works best if you estimate that number before you start the voting period. If the top 5% popular articles are typically read 10 times from a single IP, it's likely 10 people share that IP and they should get 10 votes. Cookies can be used to prevent them from stealing each others vote, but on the whole they can't skew your poll. (Note: this fails in small communities where a large group of voters come from a small number of IPs, in particular this happens around universities).