This sounds something like the ['Victim' Series][1] by Robert Sheckley.

Starting with [*The 10th Victim*][2], it was the first of a trilogy that also included 1987's [Victim Prime][3] and 1988's [Hunter/Victim][4].

[![enter image description here][5]][5] [![enter image description here][6]][6] [![enter image description here][7]][7]


  [1]: https://www.goodreads.com/series/77949-victim
  [2]: https://www.goodreads.com/en/book/show/680321
  [3]: https://www.goodreads.com/book/show/1094558.Victim_Prime
  [4]: https://www.goodreads.com/book/show/1094536.Hunter_Victim
  [5]: https://i.sstatic.net/ykhfRm.png
  [6]: https://i.sstatic.net/FJDN4m.png
  [7]: https://i.sstatic.net/0M0dIm.png