Public understanding and acceptability are vital, particularly when public decisions accompanying burden distribution are at issue. Negative images of unwanted facilities prevent acceptability, which are often labeled from outside the community, such as stigmatization, representing a social reality regardless of scientific facts. Public deliberation is a useful tool to change social representation; however, the processes that make change possible are unclear. This study aims to demonstrate an interactive process that changes social representation. We hypothesized that such changes are more likely to occur when the discourse arena is framed as burden sharing and fair distribution is prioritized than when framed as maximization of the stakeholders' interests. We developed a game to observe social dynamics, simulating the processes of stakeholders' negotiation and public deliberation with a case of reuse and final disposal of the removed soil from Fukushima. Following the Fukushima nuclear accident, decontamination works were conducted to recover the environment, resulting in the generation of a huge volume of removed soil. Approximately 80% of the soil is recyclable material usable by public utilities, of which the radioactive level is below the international safety standard. However, emphasizing safety does not increase the acceptability of the removed soil to the nearby residents. Even though they understand safety, they fear their residential areas will be stigmatized. In the game, participants were asked to offer ideas that prevent the regions, where the removed soil was accepted, from being stigmatized and enhance appreciation by inducing a positive image there, after experiencing the stakeholders' negotiation. The results indicated that the more highlighted the fair distribution in the stakeholders' process, the more constructive ideas emerged, encouraging the regional dignity, mitigating residents' anxiety, and changing the social representation. The hidden function of fair distribution that triggered the emergence of constructive ideas is discussed.