Social abstract argumentation laid theoretical foundations for future online debating systems with formal backbones and semantics. The advantage of these envisioned new systems is their capability of formally justifying the social outcomes of their debates. Many recent extensions proposed for argumentation in general have addressed the issue that not all attacks between arguments are equal, esp...

Abstract We develop joint foundations for the fields of social choice and opinion pooling using coherent sets desirable gambles, a general uncertainty model that allows to encompass both complete incomplete preferences. This leads on one hand new perspective traditional results (in particular Arrow’s theorem as well sufficient conditions existence an oligarchy democracy) other same framework an...