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**Economic theory of fuzzy equilibria. An axiomatic analysis.
2nd rev. and enlarged ed.**
*(English)*
Zbl 0861.90017

Berlin: Springer. xvii, 180 p. (1995).

[The first edition of this book (1992) has also been reviewed, see Zbl 0758.90008.]

On an axiomatic basis, the author analyses first how the assumption of specific fuzzy preferences bear on equilibria of classical and newly defined economic systems. He proceeds in three steps: In the first chapter of his book, he presents specific kinds of fuzzy individual preferences and in a second chapter, he investigates their repercussions on aggregation procedures in the sense of group decision making or welfare economics, in the third chapter he focuses his attention on fuzzy cooperative and non-cooperative games. In both the fourth and fifth chapters, he applies the results of the three chapters to the analysis of equilibria in a specific market model. In the last chapter, the author tries to overview the schedule of fuzzy economics and to make some prediction about the research possibilities of each subdomain, fuzzy preferences, fuzzy theory of value in the whole and instrumental works.

On an axiomatic basis, the author analyses first how the assumption of specific fuzzy preferences bear on equilibria of classical and newly defined economic systems. He proceeds in three steps: In the first chapter of his book, he presents specific kinds of fuzzy individual preferences and in a second chapter, he investigates their repercussions on aggregation procedures in the sense of group decision making or welfare economics, in the third chapter he focuses his attention on fuzzy cooperative and non-cooperative games. In both the fourth and fifth chapters, he applies the results of the three chapters to the analysis of equilibria in a specific market model. In the last chapter, the author tries to overview the schedule of fuzzy economics and to make some prediction about the research possibilities of each subdomain, fuzzy preferences, fuzzy theory of value in the whole and instrumental works.

Reviewer: M.Matłoka (Poznań)

### MSC:

91B50 | General equilibrium theory |

03E72 | Theory of fuzzy sets, etc. |

91A10 | Noncooperative games |

91A12 | Cooperative games |

91B08 | Individual preferences |

91-02 | Research exposition (monographs, survey articles) pertaining to game theory, economics, and finance |