Cooperative Purchasing with General Discount: A Game Theoretical Approach
نویسندگان
چکیده
In some situations, sellers of certain commodities usually provide price discounts for large orders according to a decreasing unit function. Buyers such can cooperate and form purchasing groups benefit from these discounts. A natural way allocate the corresponding cost reductions is equal rule. We analyze this situation as cooperative game. show that when function linear, rule coincides with Shapley value nucleolus However, buyers may argue not acceptable because it favors those who buy just few units product. This be more problematic nonlinear: case, loses its good properties no longer matches or nucleolus. Unlike linear in nonlinear do assign same all agents, so there are different rules. they have computability problem, both very laborious calculate number agents. To find suitable alternative, we first study should situation. Second, propose family rules hold easy provides (companies, institutions, consumers, etc.) an easy-to-implement method which ensures stability purchasing.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2022
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math10224195