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AUTHOR(S): 

Vitaly O. Groppen

 

TITLE

Comparison Standards and New Areas of their Use in Decision Making

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ABSTRACT

Proposed are two decision-making technologies based on the use of comparison standards: one for optimal strategies in cooperative n-person games determination, the other – for summarizing the results of voting. The first one is an alternative to the use of guaranteeing strategies whereas the second approach can be an alternative to the use of traditional technologies, selecting winner by relative or absolute majority. The main provisions of the proposed approach are illustrated by examples.

KEYWORDS

matrix of game, comparison standard, prize of game, distance in the coordinate system, guaranteeing strategies, voting processing

REFERENCES

[1] J. Von Neumann, O. Morgenstern. Theory of Games and Economic Behavior. M .: "Science", 1970. (russ). [1] J. Von Neumann, O. Morgenstern. Theory of Games and Economic Behavior. M .: "Science", 1970. (russ). 

[2] Davidov E.G. Methods and Models of the Theory of Antagonistic Games. Moscow University publishing house, 1978, 208 p. (russ). 

[3] Joseph J. Moder, Salah E. Elmaghraby. Handbook of Operations Research. Vol. 1: Foundations and Fundamentals. Nostrand Reinhold Company, 1978, p. 513 – 548. 

[4] Groppen V.O. Principles of decisionmaking with the help of standards // Automatika i telemechanika, # 4, 2006, p. 167 – 184 (russ). 

[5] Groppen V.O. New Solution Principle for Multi-criteria Problems Based on Comparison Standards: Models, Algorithms, Applications // Applications to Industrial and Societal Problems. CIMNE, Barcelona, Spain, 2008, p. 201 - 209. 

[6] Dresher M., Shapley L. S., Tucker A.W., Eds., Advances in Game Theory, Annals of Mathematics Study No 52, Princeton University Press, Princeton, New Jersey, 1964. 

[7] Emerson, Peter. Designing an AllInclusive Democracy, Part 1, Springer Verlag, 2007, p. 15-38. 

[8] John L. Daly. Pricing for Profitability: Activity-Based Pricing for Competitive Advantage. Wiley, 2001.

Cite this paper

Vitaly O. Groppen. (2016) Comparison Standards and New Areas of their Use in Decision Making. Mathematical and Computational Methods, 1, 276-280

 

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