The phrase "a campaign between" is correct and usable in written English.
It can be used when discussing a competition, initiative, or effort involving two or more parties or entities.
Example: "The campaign between the two rival companies aimed to increase market share and brand awareness."
Alternatives: "a contest between" or "an initiative involving".
Our dreams of a campaign between two elderly white, male billionaires from New York who have cycled through multiple party affiliations have apparently been dashed.
The decision to move ahead with a referendum kicks off a campaign between the two main Palestinian factions to win support for their distinct political programs at a time when the Palestinian government is withering.
As far as the Obama team was concerned, the optimizer helped it do what most strategists deemed impossible in a campaign between two well-financed opponents — talk to undecided voters through television advertisements on shows on which the opposition was not running a countermessage.
Perhaps it was week thirty-eight of the Obama-Romney race (a campaign between "Forward" and "Believe in America"), or the routinization of the filibuster, or the name Priorities USA Action, or the fifty-eighth vote in Congress to repeal the Affordable Care Act — something happened that made it very hard to continue paying attention.
This is a book about a campaign between a man who couldn't stop performing and a man who wouldn't start, between a man who found joy, liberation and redemption in campaigning and a man who was bored by it, demeaned by it and diminished by it.
For all purposes the EU referendum was a campaign between two wings of the Conservative Party.
According to the early June announcement on Melbourne City's official website, Villa "will play, train and contribute to Melbourne City FC-s Hyundai A-League campaign between October and December 2014".
There are signs that the narrative may have taken hold in some parts of the electorate beyond the protesters in the parks and beyond a presidential campaign between an up-from-the-bottom, charismatic incumbent and his awkward aristocratic competitor.
The incumbent, Franz S. Leichter, is not running for re-election, and there is a spirited campaign between Edward Schneiderman, a lawyer and Democratic district leader and Daniel O'Donnell, a lawyer who is president of a Democratic club and brother of Rosie O'Donnell, the entertainer.
The predicted result follows a tense campaign between Rahman, a former Labour leader of the council, and Biggs, a former City analyst and London Assembly member.
At times, they may feel as though they've+been+handed a campaign brochure between hard covers.
