The paper is concerned with an approach to solutions of bargaining problems, i.e. with a rule by which participants of a nonantagonistic game select from the set of all feasible outcomes some "fair" outcome. A rather diverse class of games is considered, and the selection in a concrete game is specified by the class chosen for consideration. Some partial ordering, associated with "contributions of the participants to the game", is given on every class of games, and only monotonic in respect to this ordering solutions are considered. To choose from these solutions a single one it is offered to require the maximum incentive of the participant with the maximum "value of his contribution" but within the limits of monotonicity. The paper contains concrete examples
