twice continuously differentiable G: (d/dεi)*((g(εi)/[1-G(εi)]) > 0'

[TamTam]

twice continuously differentiable G: (d/dεi)*((g(εi)/[1-G(εi)]) > 0'

Hello,

I was wondering if someone could explain to me how I should interpret the following:

'To ensure the existence of a unique closed-form solution, the additional assumption is made that the bidders' types are i.i.d. and that G(∙) is twice continuously differentiable and satisfies the monotone hazard rate condition, i.e.,

(d/dε_i)*((g(ε_i)/[1-G(ε_i)]) > 0'

Thus this show the step size? And what does (∙) mean?
Next to that, can you rewrite this equation to:

[1-G(εi)]/g(εi)

It is a model of the paper (page 9):https://www.jstor.org/stable/2329324?seq=9#metadata_info_tab_contents
I tried to attach it but that was not possible.

Someone who understands this? It would help me a lot

Thanks

 

[TamTam]

twice continuously differentiable

Hello,

I was wondering if someone could explain to me how I should interpret the following

'To ensure the existence of a unique closed-form solution, the additional assumption is made that the bidders' types are i.i.d. and that G(∙) is twice continuously differentiable and satisfies the monotone hazard rate condition, i.e.,

(d/dε_i)*((g(ε_i)/[1-G(ε_i)]) > 0'

Thus this show the step size? And what does (∙) mean?
Next to that can you rewrite this equation to:

[1-G(εi)]/g(εi)

It is a model of the paper (page 9):https://www.jstor.org/stable/2329324?seq=9#metadata_info_tab_contents
I tried to attach it but that was not possible.

Someone who understands this? It would help me a lot

Thanks