This makes a lot of sense, but it also gives sufficient motivation to enforce a standard that the modeling of utility and mention of Nash equilibria becomes secondary.
Trying to formalize it by identifying the the sizes of the coalitions, the utility of preventing this communication/conspiracy channel among the rivals, and the actual communications which let them “decide to adopt a strategy of punishing any deviations from the new 99 degrees Celsius temperature” will likely break it again. In fact, if there is any coalition of at least 2, they can get a minmax result of 98.6, so presumably won’t participate nor enforce 99 as an equilibrium.
This makes a lot of sense, but it also gives sufficient motivation to enforce a standard that the modeling of utility and mention of Nash equilibria becomes secondary.
Trying to formalize it by identifying the the sizes of the coalitions, the utility of preventing this communication/conspiracy channel among the rivals, and the actual communications which let them “decide to adopt a strategy of punishing any deviations from the new 99 degrees Celsius temperature” will likely break it again. In fact, if there is any coalition of at least 2, they can get a minmax result of 98.6, so presumably won’t participate nor enforce 99 as an equilibrium.