Another case which is important is games with infinite strategy spaces. In particular see my recent post where I use the notion of thermodynamic equilibrium in a way which cannot be trivially mimicked (I think) by a proper equilibrium.
Good question. One obvious difference is that thermodynamic equilibria are naturally defined for games with appropriate continuous strategy spaces, but it’s probably not important for intelligent agent theory.
It seems plausible that for zero temperature they don’t.
For positive temperature thermodynamic equilibria are more rigid than ϵ-proper profiles but I’m not sure it’s important.
Do thermodynamic equilibria differ meaningfully from proper equilibria?
Another case which is important is games with infinite strategy spaces. In particular see my recent post where I use the notion of thermodynamic equilibrium in a way which cannot be trivially mimicked (I think) by a proper equilibrium.
Good question. One obvious difference is that thermodynamic equilibria are naturally defined for games with appropriate continuous strategy spaces, but it’s probably not important for intelligent agent theory.
It seems plausible that for zero temperature they don’t.
For positive temperature thermodynamic equilibria are more rigid than ϵ-proper profiles but I’m not sure it’s important.