Section 182. Costs; by whom paid

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.