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2014 | OriginalPaper | Buchkapitel

Instrumentalization of Norm-regulated Transition System Situations

verfasst von : Magnus Hjelmblom

Erschienen in: Agents and Artificial Intelligence

Verlag: Springer Berlin Heidelberg

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Abstract

An approach to normative systems in the context of multi-agent systems (MAS) modeled as transition systems, in which actions are associated with transitions between different system states, is presented. The approach is based on relating the permission or prohibition of actions to the permission or prohibition of different types of state transitions with respect to some condition \(d\) on a number of agents \(x_{1},...,x_{\nu }\) in a state. It introduces the notion of a norm-regulated transition system situation, which is intended to represent a single step in the run of a (norm-regulated) transition system. The normative framework uses an algebraic representation of conditional norms and is based on a systematic exploration of the possible types of state transitions with respect to \(d(x_{1},...,x_{\nu })\). A general-level Java/Prolog framework for norm-regulated transition system situations has been developed, and this implementation together with a simple example system is presented and discussed.

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Fußnoten
1
Note that no special assumptions are made regarding whether or not \(s_{0}\) is an element of \(S\), i.e. whether or not the action \(a\) may lead back to \(s_{0}\).
 
2
We can form negations \({({d}^{\lnot })}\) of conditions in the following way: \({({d}^{\lnot })(}X_{\nu })\) iff \(\lnot {d(}X_{\nu })\). In the following, the latter notation will be used to facilitate the presentation. Note that conjunctions \((c\wedge d)\) and disjunctions \((c\vee d)\) may be formed in a similar way; hence, it is possible to construct Boolean algebras of conditions.
 
3
The numbering is based on the numbering used in [8].
 
4
Normative-position condition-implication structure; see, e.g., [14, 22].
 
5
More precisely, the agents may choose between three acts: \(left\), \(stay\) or \(right\), but \(left\) and \(right\) are only feasible if there is a doorway in the corresponding direction. Note that the specific example in [4, p. 178ff] has one female and two male agents and two rooms, while the Rooms system has three rooms.
 
7
As noted in [21, p. 31], the computational complexity of any specific implementation may be more formally analysed through algorithmic analysis, e.g. average-case analysis.
 
8
This approach was originally developed in a series of papers; see for example [13, 1517].
 
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Metadaten
Titel
Instrumentalization of Norm-regulated Transition System Situations
verfasst von
Magnus Hjelmblom
Copyright-Jahr
2014
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-662-44440-5_5