Optimization of Investment Planning Based on Game-Theoretic Approach

Authors

DOI:

https://doi.org/10.17059/2018-1-21

Keywords:

decision-making, theory of matrix games, control optimization, passenger transportation, optimality criteria, choice of strategy, investment projecting, optimization technique, formalized algorithm, control strategies

Abstract

The game-theoretic approach has a vast potential in solving economic problems. On the other hand, the theory of games itself can be enriched by the studies of real problems of decision-making. Hence, this study is aimed at developing and testing the game-theoretic technique to optimize the management of investment planning. This technique enables to forecast the results and manage the processes of investment planning. Пє proposed method of optimizing the management of investment planning allows to choose the best development strategy of an enterprise. This technique uses the “game with nature” model, and the Wald criterion, the maximum criterion and the Hurwitz criterion as criteria. We article presents a new algorithm for constructing the proposed econometric method to optimize investment project management. Wis algorithm combines the methods of matrix games. Furthermore, I show the implementation of this technique in a block diagram. We algorithm includes the formation of initial data, the elements of the payment matrix, as well as the definition of maximin, maximal, compromise and optimal management strategies. We methodology is tested on the example of the passenger transportation enterprise of the Sverdlovsk Railway in Ekaterinburg. We application of the proposed methodology and the corresponding algorithm allowed to obtain an optimal price strategy for transporting passengers for one direction of traffic. Wis price strategy contributes to an increase in the company’s income with minimal risk from the launch of this direction. We obtained results and conclusions show the effectiveness of using the developed methodology for optimizing the management of investment processes in the enterprise. We results of the research can be used as a basis for the development of an appropriate tool and applied by any economic entity in its investment activities.

Author Biography

Elena Vladimirovna Butsenko, Ural State University of Economics

PhD in Economics, Associate Professor, Ural State University of Economics; https://orcid.org/0000-0003-2747-5391, Researcher ID: Н-4042–2015; Scopus Author ID: 57196061640 (62, 8 Marta St., Ekaterinburg, 620144, Russian Federation; e-mail: evl@usue.ru).

References

Isaacs, R. Ph. (1965). Differential Games: A Mathematical Theory with Applications to Warfare and PursiLit, Control and Optinlization. New York: John Wiley and Sons Inc., 408.

Aumann, R. J. (1964). Mixed and Behavior Strategies in Infinite Extensive Games. Advances in Game Theory, 52, 627–650.

Blackwell, D. (1969). Instructor’s Commentary for Basic Statistics. New York : McGraw-Hill Book Company, 26.

Shapley, L. S. (1988). The Shapley value. New York : Cambridge university press, 338.

Wald, A. (1947). Sequential Analysis. New York: John Wiley & Sons Inc., 212.

Ugolnitskiy, G. A. (2009). Optimizatsionnyye i teoretiko-igrovyye modeli upravleniya investitsionno-stroitelnymi proektami [Optimization and game theoretic models in real estate development]. Upravlenie bolshimi sistemami [Large-Scale Systems Control], 26(1), 348–365. (In Russ.)

Sigal, A. V. (2014). Teoriya igr dlya prinyatiya resheniy v ekonomike [Game theory for decision-making in the economy]. Simferopol: Diaypi Publ., 308. (In Russ.)

Zhukovskiy, V. I, Kudryavtsev, K. N. & Smirnova, L. V. (2013). Garantirovannyye resheniya konfliktov i ikh prilozheniya [Guaranteed solutions of conflicts and their applications]. Moscow: Krasand Publ., 2013. — 368 s. (In Russ.)

Shubik, M. (2012). Nastoyashcheye i budushcheye teorii igr [Тhe present and future of game theory]. Matematicheskaya teoriya igr i ee prilozheniya [Mathematical Game Theory and Its Applications], 4(1), 93–116. (In Russ.)

Butsenko, E. V. (2016). Praktika primeneniya setevogo ekonomiko-matematicheskogo modelirovaniya protsessa investitsionnogo proektirovaniya [The practice of using a network of economic and mathematical modeling of the process of investment planning]. Vestnik Tomskogo gosudarstvennogo universiteta [Tomsk State University Journal], 1(33), 147–158. (Series: Economics). (In Russ.)

Butsenko, E. V. (2015). Sovershenstvovanie modeli investitsionnogo proektirovaniya na osnove setevogo modelirovaniya [Improving the Model of Investment Planning on the Basis of Network Modelling]. Upravlenets [The Manager], 1(53), 38–42. (In Russ.)

Henderson, B. D. (2008). Produktovyy portfel [Product portfolio]. Bostonskaya konsaltingovaya gruppa BCG Review. Daydzhest [The Boston Consulting Group. BCG Review. Digest]. Moscow: The Boston Consulting Group, 02, 7–8. (In Russ.)

Rasiel, E. M. (2014). Metod McKinsey. Ispolzovanie tekhnik vedushchikh strategicheskikh konsultantov dlya resheniya lichnykh i delovykh zadach [The McKinsey Way: Using the Techniques of the World’s Top Strategic Consultants to Help You and Your Business]. Moscow: Alpina Publisher, 192. (In Russ.)

Egorova, N. E. & Torzhevskiy, K. A. (2014). Metody i rezultaty prognozirovaniya rossiyskogo fondovogo rynka [Methods and results of the Russian stock market forecasting]. Finansovaya analitika: problemy i resheniya [Financial Analytics: Science and Experience], 39, 2–11. (In Russ.)

Podvalnyy, E. S. & Masloboyshchikov, E. V. (2011). Osobennosti ispolzovaniya neyrosetevogo prognozirovaniya finansovykh vremennykh ryadov [Features of neural network prediction of financial time series]. Vestnik Voronezhskogo gosudarstvennogo tekhnicheskogo universiteta [Bulletin of Voronezh State Technical University], 7(10), 25–29. (In Russ.)

Published

26.02.2018

How to Cite

Butsenko, E. V. (2018). Optimization of Investment Planning Based on Game-Theoretic Approach. Economy of Regions, 14(1), 270–280. https://doi.org/10.17059/2018-1-21

Issue

Section

Research articles