Bankruptcy games.

*(English)*Zbl 0636.90100Bankruptcy problems are considered from a game theoretic point of view. Solution concepts from cooperative game theory are studied for bankruptcy games. A necessary and sufficient condition for a division rule for bankruptcy problems to be a game theoretic rule is given. A new division rule which is an adjustment of the proportional rule is given. This rule coincides with the \(\tau\)-value for bankruptcy games. Properties of the new rule are treated and a set of characterizing properties is given.

##### MSC:

91A12 | Cooperative games |

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\textit{I. J. Curiel} et al., Z. Oper. Res., Ser. A 31, 143--159 (1987; Zbl 0636.90100)

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##### References:

[1] | Green P, Carroll J, Goldberg S (1981) A general approach to product design optimization via conjoint analysis. Journal of Marketing 45:17–37 |

[2] | Holland C, Cravens D (1973) Fractional factorial experimental designs in marketing research. Journal of Marketing Research 10:270–276 |

[3] | May J, Shocker A, Sudharshan D (1980) On optimal new product locations, with a simulation comparison of methods. Working Paper, University of Pittsburgh |

[4] | Kalwani M, Silk A (1982) On the reliability and predictive validity of purchase intention measures. Marketing Science 1:243–286 |

[5] | Shocker A, Srinivasan V (1974) A consumer based methodology for the identification of new product ideas. Management Science 20:921–937 |

[6] | Shocker A, Srinivasan V (1979) Multiattribute approaches for product concept evaluation and generation: a critical review. Journal of Marketing Research 16:159–180 |

[7] | Urban G (1975) PERCEPTOR: a model for product positioning. Management Science 21:858–871 |

[8] | Urban G, Hauser J (1980) Design and marketing of new products. Prentice-Hall, Englewood Cliffs |

[9] | Zufryden F (1983) Course evaluation and design optimization: a conjoint analysis based application. Interfaces 13:87–94 |

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.