### Abstract

Original language | English |
---|---|

Title of host publication | Proceedings of the Second European Workshop on Probabilistic Graphical Models |

Editors | Peter Lucas |

Number of pages | 8 |

Publication date | 2004 |

Pages | 153-160 |

Publication status | Published - 2004 |

Event | PGM´04 - Leiden, Netherlands Duration: 4 Sep 2004 → 8 Sep 2004 Conference number: 2 |

### Conference

Conference | PGM´04 |
---|---|

Number | 2 |

Country | Netherlands |

City | Leiden |

Period | 04/09/2004 → 08/09/2004 |

### Fingerprint

### Keywords

- soft values
- influence diagrams
- sensitivity analysis

### Cite this

*Proceedings of the Second European Workshop on Probabilistic Graphical Models*(pp. 153-160)

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*Proceedings of the Second European Workshop on Probabilistic Graphical Models.*pp. 153-160, Leiden, Netherlands, 04/09/2004.

**Multi-currency Influence Diagrams.** / Nielsen, Søren Holbech; Nielsen, Thomas Dyhre; Jensen, Finn Verner.

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

TY - GEN

T1 - Multi-currency Influence Diagrams

AU - Nielsen, Søren Holbech

AU - Nielsen, Thomas Dyhre

AU - Jensen, Finn Verner

PY - 2004

Y1 - 2004

N2 - Solution of decision problems, which involve utilities of several currencies, have traditionally required the problems to be converted into decision problems involving utilities of only one currency. This conversion are carried out using a tacit transformation, under the assumption that the converted problem is equivalent to the original one. In this paper we present an extension of the Influence Diagram framework, which allows for these decision problems to be modelled in their original form. We present an algorithm that, given a conversion function between the currencies, discovers a characterization of all other such functions, which would give rise to the same optimal strategy. As this characterization can be complex, we give methods to present the functions in a more compact, but more inaccurate, manner

AB - Solution of decision problems, which involve utilities of several currencies, have traditionally required the problems to be converted into decision problems involving utilities of only one currency. This conversion are carried out using a tacit transformation, under the assumption that the converted problem is equivalent to the original one. In this paper we present an extension of the Influence Diagram framework, which allows for these decision problems to be modelled in their original form. We present an algorithm that, given a conversion function between the currencies, discovers a characterization of all other such functions, which would give rise to the same optimal strategy. As this characterization can be complex, we give methods to present the functions in a more compact, but more inaccurate, manner

KW - soft values

KW - influence diagrams

KW - sensitivity analysis

M3 - Article in proceeding

SP - 153

EP - 160

BT - Proceedings of the Second European Workshop on Probabilistic Graphical Models

A2 - Lucas, Peter

ER -