In this paper, we study polynomial norms, i.e. norms that are the dth root of a degree-d homogeneous polynomial f . We first show that a necessary and sufficient condition for f to be a norm is for f to be strictly convex, or equivalently, convex and positive definite. Though not all norms come from dth roots of polynomials, we prove that any norm can be approximated arbitrarily well by a polyn...

In spite of its common use as a tool for examining cooperation, the prisoner’s dilemma game does not conform to the reality of many socio-ecological contexts. Situations in which people engage in joint activities and maintain agreement in their preferences for outcomes are called “coordination games” by game theorists and “mutualism” by biologists. Coordination games are common, but cooperative...

Our main question in this paper is as follow: (Q) What are the epistemic norms governing our responses face of disagreement? In order to answer it, we begin with some clarification. First, following McHugh (2012), if employ a useful distinction normativity theory between evaluative and prescriptive norms, there two readings (Q)––we explore such section 2. And secondly, accept gnosticism, that i...