λ-equilibrium of hypergame with fuzzy strategy and preference perceptions

A method is presented for obtaining the equilibrium outcomes of hypergame models with fuzzy strategy and preference perceptions in this paper. Firstly, for a decision maker specified credibility level λ, the crisp strategy set and outcome preference perception are determined based on fuzzy cuts and...

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Bibliographic Details
Main Authors: Yexin Song, Weijun Li, Xianhai Zeng
Format: Conference Proceeding
Language:English
Subjects:
Educational institutions
fuzzy preference
Fuzzy sets
fuzzy strategy
Game theory
Humans
Hypergame equilibrium
Information analysis
Stability analysis
Writing
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Summary:A method is presented for obtaining the equilibrium outcomes of hypergame models with fuzzy strategy and preference perceptions in this paper. Firstly, for a decision maker specified credibility level λ, the crisp strategy set and outcome preference perception are determined based on fuzzy cuts and a relative distance measure for fuzzy numbers. Then, the hypergame-preserving λ-equilibrium and hypergame-destroying λ-equilibrium are defined and obtained by hypergame stability analysis. A simulation example illustrates the proposed method at the end.
DOI:10.1109/ICICISYS.2009.5358298