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JOURNALS // Upravlenie Bol'shimi Sistemami // Archive

UBS, 2017 Issue 67, Pages 52–80 (Mi ubs917)

This article is cited in 4 papers

Control in Social and Economic Systems

A model of competition between oil companies with conventional and unconventional oil production

V. K. Akinfiev

Institute of Control Sciences of RAS, Moscow

Abstract: This paper examines the problem of investment strategies choice of oil companies with conventional and unconventional oil production. A mathematical model describing the relationship between the oil companies’ investment strategies and the oil price, which depends on the ratio of supply and demand on the world oil market, is constructed and discussed. Solution is reduced to the analysis of a bimatrix game, where in the payoff matrix is formed by numerical simulation. Two possible scenarios of play are presented, a stable one and a volatile one. We present an illustrative example of the proposed approach. The obtained results show that unconventional oil production, including shale oil, will occupy a significant portion of the market in the medium term. Average market price of oil is expected to reach 55–60 \$ per barrel. This model, however, does not account for possible technology advancements, which could lower the expense of oil extraction and, thus, market price.

Keywords: investment strategies, mathematical model, competition in the oil market, bimatrix game.

UDC: 681.5
BBK: 65.050

Received: December 26, 2016
Published: May 31, 2017



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© Steklov Math. Inst. of RAS, 2026