Service scaling is concerned with service productivity, and hyper-networks with the design of service scaling. This new model uniquely explains Internet-based economic activities, such as e-commerce/e-business and social networking, which are quintessential new genres of service for Knowledge Economy. These activities possess unprecedented promises for scaling: up (reaching the population), down (personalization), and transformational (new business designs). The concept of <i>hyper-networks</i> has been proposed recently by one of the authors to help explain the analytical nature of such scaling. It establishes the principle of designing <i>multiple simultaneous layers of digital connections</i> (networking) of persons and organizations on the same basic networks (e.g., the Internet), and interrelating them through "value worm holes" to inflate value propositions (business spaces) and enable <i>massive, simultaneous value cocreations</i> across the life cycles of persons and organizations. This paper further analyzes the mathematical properties of hyper-networks in the context of a person's multiple roles in his/her life cycle, where each role sparks a particular network. Agent-based simulation experiments confirm that multi-layered networking (e.g., simultaneous multiple social networks) decreases exponentially the degrees of separation, and thereby increases the possibility for value proposition and cocreation in the community. [<i>Service Science</i>, ISSN 2164-3962 (print), ISSN 2164-3970 (online), was published by Services Science Global (SSG) from 2009 to 2011 as issues under ISBN 978-1-4276-2090-3.]
