Shapley-Based Estimation of Company Value-Concept, Algorithms and Parameters

Area of Science:

• Economics
• Game Theory
• Network Analysis

Background:

• Traditional company valuation often overlooks inter-company relationships.
• Assessing dependent company value requires sophisticated models.
• Cooperative game theory offers a framework for analyzing collaborative entities.

Purpose of the Study:

• To propose a new company valuation method incorporating ownership and personal relations.
• To adapt the Shapley value concept for inter-company dependency assessment.
• To develop and validate new computational models for this purpose.

Main Methods:

• Application of Shapley value from cooperative game theory.
• Development of algorithms for Shapley value calculation in a network context.
• Integration of Pearson's correlation coefficient and intuitionistic fuzzy sets for relationship analysis.

Main Results:

• Two new expanded valuation models are proposed.
• The models effectively incorporate both ownership and personal relationships.
• Validation on a real-world economic network demonstrates practical applicability.

Conclusions:

• The proposed method offers a more comprehensive approach to company valuation.
• Shapley value and fuzzy sets provide robust tools for analyzing complex economic networks.
• The findings have implications for understanding corporate interdependence and value.