This paper presents a formal framework in which to study the socialization processes evolving among utility-based agents. These agents are self-interested, being their different social attitudes (cooperativeness, competitiveness or indifference) a consequence of this behavior. The dynamics of the socialization process are captured by a relation that measures the similarities between the desires of two groups of agents. This similitude relation is derived from the system's model, defined as a probabilistic transition system and a set of individual preference relations. Game-theoretic concepts are used in order to determine the rational (or expected) transitions of the system.