Where do physics and game theory meet?

[1v1Dota2RightMeow]

This is going to sound really strange, but I don't want to have this question inside of me and never ask it. I love business/economics/game theory. However, the subject I've studied the most in my life at this point is physics. The question of what I want to write about for my PhD thesis is coming up and I have no ideas.

Has anyone ever heard about a middle ground between physics and game theory/economics? I know it's a huge stretch, but please be considerate. I'm feel completely lost in life but I'm a firm believer that one should not allow an ego to ruin decision making. Therefore, I want to get a lot of opinions, even if people think the questions I ask are strange.

 

[Borek]

Sigh. Have you even tried googling for "applications of game theory in physics"?

 

[S.G. Janssens]

There is a field called econophysics. Established mainstream economists seem to be critical about it, but it may be a starting point for exploration.

 

[Stephen Tashi]

There "continuous games" involving the physical modeling of situations like a missile trying to hit an evasive target. I don't know the customary nomenclature for this field of study. I notice articles like this: http://www.worldscientific.com/doi/abs/10.1142/S0219198905000375

 

[S.G. Janssens]

There "continuous games" involving the physical modeling of situations like a missile trying to hit an evasive target. I don't know the customary nomenclature for this field of study. I notice articles like this: http://www.worldscientific.com/doi/abs/10.1142/S0219198905000375

I think these are differential games. I looked into the book by Isaacs once, but I do not know how relevant that still it. The OP can easily find more up-to-date references, though.

 

[CapnGranite]

Econophysics: from Game Theory and Information Theory to Quantum Mechanics
Physica A: Statistical Mechanics and its Applications
http://www.sciencedirect.com/science/article/pii/S0378437104012658