Egoists, utilitarians, and enviers Consider the game in Table 11.3, expressed in dollar terms.

(a) Suppose, first, that this game is played by two egoists, for whom u(x, y) = x. Compute all Nash equilibria.

(b) Suppose, next, that this game is played by two utilitarians, for whom u(x, y) = x + y. Compute all Nash equilibria.

(c) Suppose, finally, that this game is played by two enviers, for whom u(x, y) = x − y. Compute all Nash equilibria.