Fair Play for Playwrights Act of 2001 - Declares that the antitrust laws shall not apply to: (1) any agreement by and among playwrights, their representatives, or associations of playwrights, or concerted action taken by them, for the purpose of establishing and enforcing the minimum terms and conditions on which their works will be developed, licensed, or produced; or (2) any discussion by and among representatives or associations of playwrights and producers for the purpose of negotiating, implementing, or enforcing a standard form contract or other collective agreement governing such terms and conditions.