Repeated foreign body ingestion as a dynamic game: A case report

In this case report, we correct the analysis of mitigating intentional foreign body ingestion offered by Sarah J. Diamond and Amnon Sonnenberg. Patients who notoriously swallow foreign objects generate significant economic costs to hospitals. In previous publications, it has been argued that hospitals might reduce the need for endoscopy by offering such patients a paid position to discourage foreign body ingestions. However, the game-theoretical analysis offered in the literature was based on a static game which did not justify the relevant equilibrium. To obtain the actual goal of keeping the patient away from foreign body ingestion, we consider a repeated game with an infinite horizon. We show that there exists a combination of strategies applied by the hospital and the patient that leads to a steady state in which the patient will be discouraged from foreign body ingestion.