Control of sustainable development of hierarchical systems in conditions of corruption

The mathematical formalization of the corruption phenomena in three-level control systems is given. The consideration is based on the example of water quality control systems. In this model the possibility of punishment (by a fine) of both participants of corruption relations for bribing is provided. The solution is constructed by the method of simulation. Typical examples are given. The reasons of corruption in layered control system and conditions of its elimination are determined.