I don't thunk your model is correct. Opening the fridge causes the accumulated cold air to fall out over a period of a few (maybe 4-7?) seconds, after which it doesn't really matter how long you leave it open, as the air is all room temp. The stuff will slowly take heat from the room temp air, at a rate of about 1 degree/minute. Once the door is closed, it takes a few minutes (again, IDK how long) to get the air back to 40F, and then however long to extract the heat from the stuff. If you are chosing between "stand there with it open" and "take something out, use it, amd put it back within a few minutes" there is no appreciable difference in the air temp inside the fridge for those two options - in both cases things will return to temp some minutes after the last closing. You can empirically test how long it takes to re-cool the air simply by getting a fridge thermometer and seeing how the temperature varies with different wait times. Or just see how long before the escaping air "feels cold" again.
Re: happiness, it's that meme graph: Dumb: low expectations, low results, is happy Top: can self-modify expectations to match reality: is happy Muddled middle: takes expectations from environment, can't achieve them, is unhappy.
The definition of Nash equilibrium is that you assume all other players will stay with thier strategy. If, as in this case, that assumption does not hold then you have (I guess) an "unstable" equilibrium.
The other thing that could happen is silent deviations, where some players aren't doing "punish any defection from 99" - they are just doing "play 99" to avoid punishments. The one brave soul doesn't know how many of each there are, but can find out when they suddenly go for 30.
It's not. The original Nash construction is that player N picks a strategy that maximizes thier utility, assuming all other players get to know what N picked, and then pick a strategy that maximizes thier own utility given that. Minimax as a goal is only valid for atomic game actions, not complex strategies - Specifically because of this "trap"
There is a more fundamental objection: why would a set of 1s and 0s represent (given periodic repetition in 1/3 of the message, so dividing it into groups of 3 makes sense) specifically 3 frequencies of light and not
I think the key facility of am agent vs a calculator is the capability to create new short term goals and actions. A calculator (or water, or bacteria) can only execute the "programming" that was present when it was created. An agent can generate possible actions based on its environment, including options that might not even have existed when it was created.
I think even these first rough concepts have a distinction between beliefs and values. Even if the values are "hard coded" from the training period and the manual goal entry.
Being able to generate short term goals and execute them, and see if you are getting closer to your long tern goals is basically all any human does. It's a matter of scale, not kind, between me and a dolphin and AgentGPT.
In summary: Creating an agent was apparently already a solved problem, just missing a robust method of generating ideas/plans that are even vaguely possible.
Star Trek (and other Sci fi) continues to be surprisingly prescient, and "Computer, create an adversary capable of outwitting Data" creating an agen AI is actually completely realistic for 24th century technology.
Our only hopes are:
The real answer is that you should minimize the risk that you walk away and leave the door open for hours, and open it zero times whenever possible. The relative heat loss from 1 vs many separate openings is not significantly different from each-other, but it is much more than 0, and the tail risk of "all the food gets warm and spoils" should dominate the decisions