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Solving the optimization problem to determine the optimal effort level, (a^dagger), and the optimal incentive rate, (v^dagger), yields begin{aligned} a^dagger=v^dagger quadtext {and}quad v^dagger=frac{1}{1+alpha sigma ^2}.
Replacing (Pi _tau) and (CE_tau (cdot )) for (Pi) and (CE cdot )) in the original optimization problem, (P), and solving it for the optimal effort decision and the optimal incentive rate yields begin{aligned} a^dagger= 1-tau _w)v^da^dagger= 1-tauand}quad v^dagger=frac{1-tau _w}{(1-tau _c+ktau _c)(1+alpha sigma ^2)}.
end{aligned} (4 The optimal effort level equals the incentive rate.
Non-cooperation means that a household member chooses the optimal effort given other households' efforts.
The optimal effort of private farming is e_{i}^ = frac{{theta_{i} }}{{2alpha_{i} }}quad i = 1 ldots n.
They will choose an optimal effort given the lowest effort level they believe other households will take (zero, in this case).
Similar(33)
The optimal efforts in the four cases are calculated as below.
Disaggregated information structures increase the optimal efforts asked of the farmers.
Hospitals that admit outlier patients incur losses even if they make socially optimal efforts to reduce treatment costs.
Current and projected future scenarios call for optimal efforts to lessen the vulnerability of human populations to extreme climatic events.
optimal search effort (12 unknowns).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com