Abstract
Since the replicated core counters the (inferior) converse reduction axiom under multi-choice non-transferable-utility (NTU) situations, two converse reduction axiomatic enlargements of the replicated core are generated. These two enlargements are the smallest (inferior) converse reduction axiomatic solutions that contain the replicated core. Finally, relative axiomatic results are also provided.
Highlights
We would like to evaluate how severe the contravention of the converse reduction axiom is if a solution violates the complement-converse reduction axiom
The following axiom is a weakening of converse reduction axiom, since it claims that λ be individually expedient as well
Hwang and Liao [12] showed that the replicated core matches the reduction axiom and violates the converse reduction axiom
Summary
Characterized the core, the prekernel, and the prenucleolus, respectively, by considering the reduced situation and relative reduction axiom due to Davis and Maschler [4]. Several extended core concepts under multi-choice NTU situations and relative results have been introduced, such as Hwang and Li [11], Hwang and Liao [12], Liu et al [13], Tian et al [14], and so on. Based on a specific K-K-M-S result, Tian et al [14] presented the non-emptiness for a socially stable core concept under multi-choice NTU structured situations. Hwang and Liao [12] provided an extended complement reduction on multi-choice. We would like to evaluate how severe the contravention of the (inferior) converse reduction axiom is if a solution violates (inferior) the complement-converse reduction axiom To resolve this motivation, we would build on the results of Hwang and Liao [12].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
