A non-cooperative support for equal division in estate division problems

► We consider estate division problems, a generalization of bankruptcy problems, in which a positive-valued estate has to be divided among a set of agents. ► We show that for any claim game based on a (estate division) rule satisfying efficiency, equal treatment of equals, and order preservation of awards, all (pure strategy) Nash equilibria induce equal division. ► All our results point towards the same intuitive message: if it is impossible or difficult to test the legitimacy of claims, the conflict will escalate to the highest possible level and equal division is the “non-discriminating” outcome in Nash equilibrium.