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Dynamic model of production of public goods, taking into account the corrupt distribution of resources and private interests

Abstract

Dynamic model of production of public goods, taking into account the corrupt distribution of resources and private interests

Kozlov K.V.

Incoming article date: 30.07.2019

In this paper, we studied a dynamic model of the production of a public good, taking into account the corrupt distribution of resources and private interests, formalized as a cooperative differential game with the Neumann-Morgenstern characteristic function. The proportional and linear mechanisms of resource allocation are analyzed. As a solution of the game, the Shapley vector was chosen, which is found for test examples using computer simulation.

Keywords: cooperative differential games, corruption, resource allocation, imitation modeling, qualitatively representative scenarios