Than ought to be used as either a demonstrative pronoun or a conjunction. In the sentence 'Jessica is prettier than me', it is being used as a conjunction. This conjunction usually occurs after a comparative adjective or adverb. In this case, it occurs after
better, which is a comparative adjective. Conjunctions join two clauses and a clause must have a verb, thus the second clause, which is simply 'me', must have an implied verb. The implied verb is the copular and, when included, the sentence reads thus: 'Jessica is prettier than is me'.
The inclusion of the missing verb causes most English speakers to see the problem instantly: the accusative (objective) case of the pronoun is used when the nominative (subjective) case ought to be used. The copular does not follow the same rules as most other verbs in that it does not take a noun in the accusative case as its direct object. In fact, the direct object of the copular verb ought to be in the nominative case. Hence, our sentence ought to be: 'Jessica is pretter than I am', which is commonly reduced to: 'Jessica is pretter than I'.
'Who is it? It is
me.'
Ought to be
I.
I reject the conclusion that 'Jessica is prettier than me' is the better choice. It is, perhaps, the more common choice in informal contexts such as speech or informal writing. It is my opinion that, even in informal contexts, one ought to strive to be as correct as possible.