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A class of simple games. (English) Zbl 0083.14301
H. M. Gurk and the author have shown [Ann. Math. Stud. 40, 247–265 (1958; Zbl 0085.13105)] that every strong simple game (for definitions, see the review of the author’s paper [Math. Student 25, 123–128 (1958; Zbl 0083.14204)] above) has at least as many minimal winning sets as non-dummy players. In the present paper all cases of equality are listed. They are a seven-player projective game, and an infinite set given in another paper by the same author [Q. J. Math., Oxf. II. Ser. 7, 183–187 (1956; Zbl 0073.13401)].
Reviewer: S. Vajda

MSC:
91A12 Cooperative games
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