Elections in which no candidate has party label
In democratic government, they are not to be found, since the purpose of an election is to explicitly allow partisan contestation for control of the government.
Elections in which candidates are not identified by party labels
In a partisan election, two or more separate parties exist; in a non-partisan or non-party system, there is only one party.
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CNN's Campbell Brown on a Journalist's Role in the Political Debate
The Environment is Non-Partisan
Ellen S. Miller on the Sunlight Foundation
How to Bridge the Partisan Rift in Congress