Modeling negotiation using multi-focused answer sets

Kim Bauters · 2011

Abstract. Answer Set Programming (ASP) is a form of declarative programming based on the stable model semantics. The idea of ASP is to represent a computational problem by a set of (propositional) rules P such that particular minimal models of P, the stable models, correspond to the solutions of the original problem. Communicating ASP (CASP) allows for a number of ASP programs to collaborate by asking each other questions. In CASP, there is no longer a unique way to define a stable model. Using a mechanism called focusing it becomes possible to eliminate some of these stable models, i.e. to assign preferences to the stable models of a CASP program. As a case study, this paper considers modeling a coalition formation as a CASP program. We then illustrate how, usingmulti-focusedanswersets,wecanimposeconstraintssothatwecan reach a unique agreement (stable model) that optimizes the preferences of the parties involved. 1

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