In their game theory recreations, there are receivers and senders, but did they account for bystanders/third parties? Danson’s donation is only anonymous to pe

In their game theory recreations, there are receivers and senders, but did they account for bystanders/third parties? Danson’s donation is only anonymous to people who might walk into the area, but to anyone that truly matters - to Danson, at least - the donation is not anonymous. Perhaps there is a third dimension here that is being missed?