Conference proceeding
The stability transition graph under cascade dynamics for social network subscription services
2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton), pp 194-201
Sep 2016
Abstract
Social network subscription services have two key characteristics: i) a network externality, in which the perceived value of the service by users is an increasing function of the set of subscribers (the "active" set), and ii) a subscription cost paid by the users. An active set is stable at a given cost if (non) subscribers have (negative) positive net utility, and is stabilizable if a cost exists at which the set is stable. Transitions among stabilizable sets induced by destabilizing costs follow cascade dynamics. We introduce the stability transition graph (STG) to capture these induced transitions, and characterize its structure. We also characterize the transitive reduction of the STG, which shows that stability transitions achievable via large price destabilizations are always achievable by a series of smaller price destabilizations.
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Details
- Title
- The stability transition graph under cascade dynamics for social network subscription services
- Creators
- Steven Weber - Drexel University
- Publication Details
- 2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton), pp 194-201
- Conference
- 2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 54th
- Publisher
- IEEE
- Number of pages
- 1
- Resource Type
- Conference proceeding
- Language
- English
- Academic Unit
- Electrical and Computer Engineering
- Scopus ID
- 2-s2.0-85015164794
- Other Identifier
- 991019170155304721