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doi: 10.3934/jimo.2021041

## Solutions and characterizations under multicriteria management systems

 Department of Applied Mathematics, National Pingtung University, 900 Pingtung, Taiwan

* Corresponding author: Yu-Hsien Liao

Received  January 2020 Revised  October 2020 Published  March 2021

In real situations, agents might take different activity levels to participate; agents might represent administrative areas of different scales. On the other hand, agents always face an increasing need to focus on multiple aims efficiently in their operational processes. Thus, we introduce two solutions to investigate distribution mechanism by applying the maximal level-marginal contributions among activity level (decision) vectors under multicriteria management systems. Based on a specific reduced game and some reasonable properties, we offer some characterizations to analyze the rationality for these two solutions. In order to desire that any utility could be distributed among the players and their activity levels in proportion to related differences, two weighted extensions are also proposed by means of different weight functions.

Citation: Yu-Hsien Liao. Solutions and characterizations under multicriteria management systems. Journal of Industrial & Management Optimization, doi: 10.3934/jimo.2021041
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##### References:
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