Properties and events in a relativistic

We reconsider the problem of attributing objective properties to an individual physical system within a quantum framework with the aim of investigating which features should characterize a relativistic model leading to the objectification of the properties at an appropriate level. A detailed analysis of the nonrelativistic case is presented and particular attention is paid to the appropriate definition of an event and to possible criteria for property attribution to individual physical systems. The same problems are then analyzed from a relativistic point of view. After having recalled some important recent contributions, the whole matter is reconsidered and the basic features that any theory leading to objectification has to exhibit in order not to conflict with relativistic requirements are identified. A toy model meeting all necessary requirements is presented and all its relevant features are discussed. This analysis serves the purpose of allowing a better understanding of the basic features of the recently introduced relativistic dynamical reduction models and offers the opportunity to clarify some misunderstanding about them.