Umm... I hate to break it to you, but I'm pretty sure that would still happen under Communism. News stations who are covering the election (since I favor anarcho communism, weak government, is democratic) would still probably do polls. (rather than a CEO ontop. odds are
The only significant change I would imagine is the total amount of candidates. Since it would no longer be constrained to a two party system, but rather multiparty, if even parties at all.
Since if you own the means to production, it also means you already own the means to campaign.
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Since in a Capitalist system, you don't own means, at least for 90% of the majority. Which also means you have to obtain the means through spending, which generally means
A. Your a wealthy business owner, which in that case, money isn't a problem
B. You suck up to a company for funds, or political party.
C. you attempt to raise money yourself and ignore (or don't have) access to the options above, this route often fails, since your going to easily be outspent.