Firstly, can you write all that in mathematics that behaves the way the words say? Words can be made to say anything, but mathematics is a more unyielding medium.
Secondly, there is no group selection here. You have described individual selection: individual foxes making decisions that give them individually a better chance of transmitting their genes to the next generation. That a particular (hypothetical) collective result is produced, that other people have invoked group selection to explain, does not make this group selection.
Firstly, can you write all that in mathematics that behaves the way the words say? Words can be made to say anything, but mathematics is a more unyielding medium.
Secondly, there is no group selection here. You have described individual selection: individual foxes making decisions that give them individually a better chance of transmitting their genes to the next generation. That a particular (hypothetical) collective result is produced, that other people have invoked group selection to explain, does not make this group selection.