Interval-valued quasisupermodular function and monotone comparative statics

In this study, we consider monotone comparative statics under interval uncertainty. We introduce interval-valued supermodular functions and interval-valued quasisupermodular functions with respect to a partial order relation on intervals. In addition, we obtain some sufficient conditions for monotone comparative statics under interval uncertainty. We also apply our results to discuss the monotone comparative statics of interval game with strategic complements.

Automated summary

In this study, we investigate monotone comparative statics under interval uncertainty. We introduce interval-valued supermodular functions and interval-valued quasisupermodular functions with respect to a partial order relation on intervals. Moreover, we derive some sufficient conditions for monotone comparative statics under interval uncertainty. We also apply these results to analyze the monotone comparative statics of interval games with strategic complements.