The model of cooperation of people with administration on emerging environmental issues is examined. Communication strategies, which take into account the economic and psychological complexity of the issue: the lack of funds and the credibility are examined. The research is based on the example of solving problems of transfer of big platforms of household and industrial wastes and elimination of the small, spontaneously arising dumps. The algorithms of distribution of limited means and the credibility are offered. The principle of proportionality of the current and future expenses on n objects is taken as a basis. Comparison with the solution of a problem of linear programming and with the decision based on the principle of proportional reduction of volumes of all objects is given. The recommendation about a choice of the most preferable principle is made.