Resource allocation models in the hierarchical systems of river water quality control

The resource allocation problem in the hierarchical systems of river water quality control is described and investigated. It is shown that the problem may be divided into two subproblems: the resource allocation problem in hierarchical system and the river water quality control problem. Three cases of resource allocation model are considered: no-corruption mechanism, connivance and racket under resource allocation and the resource using controlling. The Stackelberg equilibrium in game theoretic model is found by the Lagrange multipliers method.