Abstract
This paper deals with a type of decision-making that pairwise comparisons specify which alternative is better concerning two criteria and that chosen alternative selects one of the criteria. Solutions to the decision-making are regarded as equilibria of a normal form game of two players. The equilibria are sought by drawing directed graphs that consist of nodes, arrows, and undirected edges. Each node of the graphs is a pair of a criterion and an alternative. An arrow represents which one prefers to another between two nodes. Weights, how better nodes are, can be put on arrows. An undirected edge connects indifferent two nodes. Throughout two examples of decision-making in this paper, how to seek the equilibria, pure and mixed, from the graphs are explained. In one of them, votes create weights on the arrows of the graphs.
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Mizuno, T. (2021). Equilibria Between Two Sets of Pairwise Comparisons as Solutions of Decision-Making with Orthogonal Criteria. In: Czarnowski, I., Howlett, R.J., Jain, L.C. (eds) Intelligent Decision Technologies. Smart Innovation, Systems and Technologies, vol 238. Springer, Singapore. https://doi.org/10.1007/978-981-16-2765-1_51
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DOI: https://doi.org/10.1007/978-981-16-2765-1_51
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