My wife and I have discussed this several times. We have been married now for 43 years, and still look at the possiblilty of one of us going first. By now, she has decided that she probably would not remarry. According to her, it would be too hard to find someone like me. (Her words - not mine.)
On the other hand, she wants me to remarry, and I probably would. I need a family around me, and someone in the house with me (other than animals). It would not be immediate, since it would take me a while to get over my wife, we have known each other longer than our parents knew us; or on the other hand; we have lived together longer than either one lived at home.