The article introduces a new research area called Interaction-Shaping Robotics (ISR), which focuses on robots that influence the behaviors and attitudes of two or more agents in human-robot interactions. The authors define ISR and highlight key factors such as the role of the robot, the robot-shaping outcome, the form of robot influence, the type of robot communication, and the timeline of robot influence. They also describe three distinct structures of human-robot groups to illustrate the potential of ISR in different group compositions. The article discusses ethical, methodological, and computational challenges in building and deploying interaction-shaping robots, emphasizing the need for careful consideration of potential risks and benefits. The authors propose areas of opportunity for future research, including the development of new methodologies for meaningful comparisons between robots, robot behaviors, and scenarios in ISR.The article introduces a new research area called Interaction-Shaping Robotics (ISR), which focuses on robots that influence the behaviors and attitudes of two or more agents in human-robot interactions. The authors define ISR and highlight key factors such as the role of the robot, the robot-shaping outcome, the form of robot influence, the type of robot communication, and the timeline of robot influence. They also describe three distinct structures of human-robot groups to illustrate the potential of ISR in different group compositions. The article discusses ethical, methodological, and computational challenges in building and deploying interaction-shaping robots, emphasizing the need for careful consideration of potential risks and benefits. The authors propose areas of opportunity for future research, including the development of new methodologies for meaningful comparisons between robots, robot behaviors, and scenarios in ISR.