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This booktreats the computational use of social concepts as the focal point for therealisation of a novel class of socio-technical systems, comprising smartgrids, public display environments, and grid computing. Thesesystems are composed of technical and human constituents that interact witheach other in an open environment. Heterogeneity, large scale, and uncertaintyin the behaviour of the constituents and the environment are the rule ratherthan the exception. Ensuringthe trustworthiness of such systems allows their technical constituents tointeract with each other in a reliable, secure, and predictable way while theirhuman users are able to understand and control them. "TrustworthyOpen Self-Organising Systems" contains a wealth of knowledge, fromtrustworthy self-organisation mechanisms, to trust models, methods to measure auser's trust in a system, a discussion of social concepts beyond trust, andinsights into the impact open self-organising systems will have on society.