2022•MathematicsOpen access

The Replicated Core under Multi-Choice Non-Transferable- Utility Situations: Converse Reduction Axiomatic Enlargements

Yan-An Hwang, Yu-Hsien Liao

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.

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Key concepts: Converse, Axiom, Reduction (mathematics), Core (optical fiber), Axiomatic design, Axiomatic system, Mathematics, Mathematical economics