Figure 11.5 illustrates the payoffs in a general, two-person, collective-action game. There we showed various inequalities on the algebraic payoffs [p(1), etc.] that made the game a prisoners' dilemma. Now you are asked to find similar inequalities corresponding to other kinds of games:

(a) Under what condition(s) on the payoffs is the two-person game a chicken game? What further condition(s) make the game version I of chicken (as in Figure 11.3)?

(b) Under what condition(s) on the payoffs is the two-person game an assurance game?

NEIGHBOR Build Not Build P(2), P(2) P(1), S(1 ) YOU Not S(1), P(1) S(0), S(0) FIGURE 11.5 General Form of a Two-Person Collective-Action Game