Equilibria in Quantitative Bipolar Argumentation Dialogues

We introduce MQBAFs, multi-agent extensions of quantitative bipolar argumentation frameworks (QBAFs). In MQBAFs, agents have objectives to maximise or minimise the strengths of some arguments, andestablishpreferencesovertheseobjectives. Agentsmake utterances by adding or removing arguments or attacks to/from a QBAF, or by changing arguments’ initial strengths. We then define equilibria for MQBAFs, in which no rational agent would make any additional utterance. The notion of MQBAF opens quantitative bipolar argumentation to principled strategic analysis.

Authors

• Andreas Brännström Umeå University
• Timotheus Kampik Umeå University

Keywords

• Formal Argumentation
• Rationality
• Equilibrium