This study investigates the relative effects of financial and other incentives on the willingness of Army families to extend overseas tours of duty in Europe and touches on some of the underlying reasons why families choose not to extend. A survey was prepared to assess the relative effects of a $50, $100, or $200 per month bonus or a one-time $1,000, $2,000, or $3,000 bonus on the willingness of families to extend in USAREUR (United States Army--Europe) for 12 months). In addition, the incentive value of a space-required trip to point of embarkation or home of record, with 30 days noncharged leave, was assessed. The option of a different job was also offered as an incentive for a 12-month extension. The survey was administered in May 1983 to more than 1,000 Army families, including both the service members and their spouses. Families were representative of service members in combat arms, combat support, and combat service support organizations which were distributed over large, medium, and small military communities. A representative distribution of married and accompanied families in each rank grade was obtained. Findings indicated that service members were distributed in three groups: those who would extend without incentive, those who might extend with incentive, and those who would not extend for any inducement. Findings are intended for use by Army planners to determine the most cost-effective incentives for a desired extension rate. Data for enlistees, noncommissioned officers, and officers are presented separately. (RH)