[EL] Basic Arguments for State Administration of Elections?

[Salvador Peralta]

Most folks take it largely for granted in the United States, that although political parties are private organizations, that there is nevertheless some public interest in having the state administer primary elections of (at least) the major political parties.

Can anyone point me to some references that might include the main arguments in favor of the state administering primary elections in the United States, rather than the parties administering them?

Alternately, would anyone care to offer a few of the main (nutshell) arguments for the state interest in administering primary elections of major political parties?
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