Swaraj India ran its campaign with a message to clear Delhi of its garbage and sought to project itself as a viable alternative to the Congress, the BJP and the AAP.
As the counting began, Yadav said he had "zero expectations" from an infant party and anything above it would be a "bonus".
Formed on October 2 last year, Swaraj India had fielded 211 candidates, of which 111 are women.
Twenty-four of its candidates were disqualified during scrutiny of nomination papers.
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However, not a single candidate could register a win in the MCD polls.
"No seat for Swaraj India was expected. No firm vote share figures yet, but seems lower than expected. We need to reflect too!" Yadav tweeted.
Interestingly, Yadav and Swaraj India co-founder Prashant Bhushan both took a jibe at the AAP saying the party blaming the Electronic Voting Machines (EVMs) for its poor poll performance is an excuse.