In all cases of assessments of damages by supreme court, the costs thereof shall be paid by the town thereof, except that when reassessment of damages shall be had on the application of the party for whom the damages were assessed, and such damages shall not be increased on such reassessment, the costs shall be paid by the party applying for the reassessment; and when application shall be made by two or more persons for the reassessment of damages, all persons who may be liable for costs under this section shall be liable in proportion to the amount of damages respectively assessed to the first assessment, and may be recovered by action in favor of any person, entitled to the same.
New York Legal Code