In this paper, we are concerned with bilevel programs with multiple followers. Three new solution concepts are introduced for a bilevel programming problem with multiple followers. First, one sufficient condition for ...In this paper, we are concerned with bilevel programs with multiple followers. Three new solution concepts are introduced for a bilevel programming problem with multiple followers. First, one sufficient condition for the existence of a Nash equilibrium reaction is presented and the continuity of the reaction set is discussed. Next, we show that a class of bilevel programs with multiple followers can be solved via solving a corresponding bilevel program with a single follower. Finally on the basis of a theorem proved via applying the Kuhn-Tucker conditions to the inner game problem, a branch and bound technique is developed for bilevel program with multiple followers. Two numerical examples are also given to illustrate the algorithm.展开更多
Deeply-rooted in China’s popular culture,precious scrolls(Baojuan)are the golden material to display popular religious belief of the mass.Based on the rare texts sorted and annotated by Shang Lixin,Dutch Sinologist W...Deeply-rooted in China’s popular culture,precious scrolls(Baojuan)are the golden material to display popular religious belief of the mass.Based on the rare texts sorted and annotated by Shang Lixin,Dutch Sinologist Wilt L.Idema continues his journey of translating precious scrolls.Focused on the theme of devoted women Buddhist followers in Ming dynasty,he explores the ethical choices of married women in facing the betrayal of servants or concubines.His translations not only add important reading material to Western readers in the field of Chinese popular literature,but also set standard for the coming translators in rendering Chinese ballads.展开更多
A new type of parallel indexing cam mechanism is discovered.The composition of the cam profile is proposed and the formulas of the mechanism parameters are established by synthesis of its configuration and size.The eq...A new type of parallel indexing cam mechanism is discovered.The composition of the cam profile is proposed and the formulas of the mechanism parameters are established by synthesis of its configuration and size.The equations for working pro- file and pressure angle of the cam are derived based on the inverse model and the derivative of pitch curve of cams.An example is given and demonstrates that it is available to design the new mechanism using the derived expressions.展开更多
A team is assigned to accomplish a task in each infinitely-repeated period. The guide of the team and his followers are allowed to have asymmetric productivity; also the followers have either a hostile or favorable il...A team is assigned to accomplish a task in each infinitely-repeated period. The guide of the team and his followers are allowed to have asymmetric productivity; also the followers have either a hostile or favorable illusion toward the guide. Re- spective efforts and the followers＇ illusion are private information. At the end of each period, the output of the joint task emerges and the followers evaluate the guide. The analysis shows （1） that potential for an unreasonable evaluation suppresses the guide＇s effort down to an average level; （2） letting the followers inform the guide of their il- lusion in advance increases both sides＇ payoffs; （3） abolishing the evaluation reduces both sides＇ payoffs in general; and （4） however, if the magnitude of the followers＇ hos- tile illusion weighted by its relative probability is enormous, abolishing the evaluation increases the output and the guide＇s payoff.展开更多
文摘In this paper, we are concerned with bilevel programs with multiple followers. Three new solution concepts are introduced for a bilevel programming problem with multiple followers. First, one sufficient condition for the existence of a Nash equilibrium reaction is presented and the continuity of the reaction set is discussed. Next, we show that a class of bilevel programs with multiple followers can be solved via solving a corresponding bilevel program with a single follower. Finally on the basis of a theorem proved via applying the Kuhn-Tucker conditions to the inner game problem, a branch and bound technique is developed for bilevel program with multiple followers. Two numerical examples are also given to illustrate the algorithm.
基金Under a doctoral project endowed by Gansu Provincial Department of Education,China,in 2022(2022QB-164)an innovation project endowed by Gansu Provincial Department of Education,China,in 2023(2023B-208)+1 种基金a humanities and social sciences project endowed by Gansu Federation of Social Science,China,in 2022(22ZC53)a doctoral project endowed by Longdong University,China,in 2022(XYBYSK2201).
文摘Deeply-rooted in China’s popular culture,precious scrolls(Baojuan)are the golden material to display popular religious belief of the mass.Based on the rare texts sorted and annotated by Shang Lixin,Dutch Sinologist Wilt L.Idema continues his journey of translating precious scrolls.Focused on the theme of devoted women Buddhist followers in Ming dynasty,he explores the ethical choices of married women in facing the betrayal of servants or concubines.His translations not only add important reading material to Western readers in the field of Chinese popular literature,but also set standard for the coming translators in rendering Chinese ballads.
文摘A new type of parallel indexing cam mechanism is discovered.The composition of the cam profile is proposed and the formulas of the mechanism parameters are established by synthesis of its configuration and size.The equations for working pro- file and pressure angle of the cam are derived based on the inverse model and the derivative of pitch curve of cams.An example is given and demonstrates that it is available to design the new mechanism using the derived expressions.
文摘A team is assigned to accomplish a task in each infinitely-repeated period. The guide of the team and his followers are allowed to have asymmetric productivity; also the followers have either a hostile or favorable illusion toward the guide. Re- spective efforts and the followers＇ illusion are private information. At the end of each period, the output of the joint task emerges and the followers evaluate the guide. The analysis shows （1） that potential for an unreasonable evaluation suppresses the guide＇s effort down to an average level; （2） letting the followers inform the guide of their il- lusion in advance increases both sides＇ payoffs; （3） abolishing the evaluation reduces both sides＇ payoffs in general; and （4） however, if the magnitude of the followers＇ hos- tile illusion weighted by its relative probability is enormous, abolishing the evaluation increases the output and the guide＇s payoff.
