The paper considers the problem of distribution of a limited resource for organizations. Namely, the mechanisms for the distribution of a limited resource in the case when the amount of the distributed resource depends on demand (the amount of applications). Three classes of mechanisms are being studied: mechanisms of absolute, direct and reverse priorities. In absolute priority mechanisms, the resource is allocated independently of the request. In direct priority mechanisms, the resource is distributed in proportion to the size of the request, and in reverse priority mechanisms, the resource is allocated inversely to the size of the request. An analysis has been carried out for various dependences of the amount of a resource on demand, and expressions for equilibrium situations have been obtained. The study shows that the introduction of the dependence of the value of the resource on the aggregate demand in some cases significantly complicates the analysis.