# A Weighted Pseudo-potential Approach to Values for TU-games

Driessen, Theo S.H.
and
Radzik, Tadeusz
(2002)
*A Weighted Pseudo-potential Approach to Values for TU-games.*
International Transactions in Operational Research, 9
(3).
pp. 303-320.
ISSN 0969-6016

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Abstract: | This paper provides a twofold generalization of the well-known characterization of the Shapley value for TU-games as the discrete gradient of a so-called potential function. On the one hand the potential approach is extended to the so-called weighted pseudo-potential approach in the sense that the extended representation may incorporate, besides a fraction of the discrete gradient, a fraction of the underlying pseudo-potential function itself, as well as a fraction of the average of all the components of the gradient. On the other hand the paper fully characterizes the class of values for TU-games that admit a weighted pseudo-potential representation. Besides two individual constraints, these values have to be efficient, symmetric, and linear. The theory developed is illustrated by several examples of such values and their weighted pseudo-potential representations are discussed. |

Item Type: | Article |

Copyright: | © 2002 Wiley InterScience |

Faculty: | Electrical Engineering, Mathematics and Computer Science (EEMCS) |

Research Group: | |

Link to this item: | http://purl.utwente.nl/publications/71566 |

Official URL: | http://dx.doi.org/10.1111/1475-3995.00357 |

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