I understand what the standard econ calculus based models are. I am a physicist, and we do the same thing where we were really good at modelling systems with small number of particles, or very large number of particles. For small, you can just enumerate all the options, and for large you take the limit to infinity [1], which yields calculus based models.
But a lot of interesting real world systems operate in the intermediate scenario, and I know from physics how 1 or infinity models can fail badly at describing the complexities of intermediate sized systems. In fact, there is a lot of work going on today in various branches of physics in this type of modelling and theory building, because we now have the computational power to understand such systems.
What I am saying about economics are not my original thoughts. I have heard several mathematicians/economists talk about this briefly. I am just looking for the right reference to learn it properly.
> I am just looking for the right reference to learn it properly.
I once took a course that was mostly based on these two textbooks
- Noncooperative Game Theory: An introduction for Engineers and Computer Scientists (Hespanha)
- Population Games and Evolutionary Dynamics (Sandholm)
Not sure if they are the best place to start but they are definitely solid references that cover game theory (but not much econ). The first one is mostly an introduction to game theory, while the second one is more about what you called "multi-player multi-shot" earlier in this thread, though there is quite a bit of overlap between the two.
But a lot of interesting real world systems operate in the intermediate scenario, and I know from physics how 1 or infinity models can fail badly at describing the complexities of intermediate sized systems. In fact, there is a lot of work going on today in various branches of physics in this type of modelling and theory building, because we now have the computational power to understand such systems.
What I am saying about economics are not my original thoughts. I have heard several mathematicians/economists talk about this briefly. I am just looking for the right reference to learn it properly.