Simultaneous penalization and subsidization for stabilizing grand cooperation
发布时间：2024-02-18
点击次数：
- DOI码：
- 10.1287/opre.2018.1723
- 发表刊物：
- Operations Research
- 关键字：
- In this paper we propose a new instrument, a simultaneous penalization and subsidization, for stabilizing the grand coalition and enabling cooperation among all players of an unbalanced cooperative game. The basic idea is to charge a penalty z from players who leave the grand coalition, and at the same time provide a subsidy ω to players who stay in the grand coalition. To formalize this idea, we establish a penalty-subsidy function ω(z) based on a linear programming model, which allows a decision maker to quantify the trade-off between the levels of penalty and subsidy. By studying function ω(z), we identify certain properties of the trade-off. To implement the new instrument, we design two algorithms to construct function ω(z) and its approximation. Both algorithms rely on solving the value of ω(z) for any given z, for which we propose two effective solution approaches. We apply the new instrument to a class of machine scheduling games, showing its wide applicability.
- 第一作者：
- Lindong Liu
- 合写作者：
- Xiangtong Qi,Zhou Xu
- 论文编号：
- [1]
- 卷号：
- 66
- 期号：
- 5
- 页面范围：
- 1362-1375
- 是否译文：
- 否
- 发表时间：
- 2018-07-27
