The argmax is increasing in multipliers of the objective function under supermodularity conditions.
the verdict
SUPPORTED
the evidence backs this
confidence 85/100
Under supermodularity conditions, the set of maximizers (argmax) of an objective function is known to be monotonically increasing with respect to multipliers or parameters of the function, as established in monotone comparative statics.
Evidence for · 4
Comparative Statics under Uncertainty : Single Crossing Properties and Log-Supermodularity
1996 · cited by 34
This paper establishes comparative statics results utilizing log-supermodularity to predict monotonic changes in optimal solutions.
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More for · 3
CHARACTERIZING PROPERTIES OF STOCHASTIC OBJECTIVE FUNCTIONS
1995 · cited by 33
The research provides necessary and sufficient conditions for objective functions to maintain supermodular properties in parameters.
A qualitative theory of large games with strategic complementarities
2017 · cited by 15
The study demonstrates monotone comparative statics with respect to parameters in games using ordered structures.
Markov Stationary Equilibria in Stochastic Supermodular Games with Imperfect Private and Public Information
2012 · cited by 10
The paper derives monotone comparative statics for ordered perturbations in spaces with strategic complementarities.