摘要
利益分配机制是影响联盟合作成功的关键因素。传统的含权Shapley值模型在解决联盟利润分配问题时,仅从联盟整体的角度赋予成员单一的权重,而忽视了成员在不同联盟活动中可能存在议价能力和贡献的差异。为此,提出一种多权重Shapley值模型,以反映成员在多项联盟活动中的不同权重。通过对联盟合作对策进行Shapley等价分解,得到由若干个简单对策组成的对策集合。在简单对策的基础上,根据成员在实质联盟中的地位作用、议价能力和潜在风险等因素,分别为每个简单对策联盟建立适当的权重向量。这意味着,参与了多项联盟活动的成员将被包含在多个简单对策中,同时被赋予多个权重。在此基础上,进一步给出了多权重Shapley值的计算公式。最后对Shapley值模型和多权重Shapley值模型进行了数值模拟,并对计算结果作了比较。
Profit allocation is the key to the success of cooperation in alliances.In addressing issues of profit allocation in alliances,the previously proposed weighted Shapley value assigns only one weight to each player for all activities in an alliance.However,a player may have different bargaining power and contribution in different activities.Hence,it is more appropriate that a player is associated with different weights in different activities.This article tries to propose a new model called multi-weighted Shapley value.In the model,a cooperative n-person game is decomposed into a new set of simple games in the sense of Shapley-equivalence.Each simple game is associated with a vector of weights determined by roles,contribution,bargaining power and potential risk of players.It implies that a player who involves in multiple activities will be included in several simple games and assigned with multiple weights.Based on the weights,an equation is further built to calculate the multi-weighted Shapley value.In the end,an example is presented to illustrate how the Shapley value and the multi-weighted Shapley value work.
出处
《工业工程与管理》
北大核心
2011年第4期79-84,91,共7页
Industrial Engineering and Management
基金
国家自然科学基金面上项目(70973038
71073057)
教育部人文社科青年基金(10YJC630042)
