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What is Nucleolus

Chapter 182
Encyclopedia of Information Science and Technology, Fourth Edition
A game theory concept defined as minimizing the maximum “unhappiness” of a coalition. “Unhappiness” (or “excess”) of a coalition is defined as the difference between what the members of the coalition could get by themselves and what they are actually getting if they accept the allocations suggested by the nucleolus.
Published in Chapter:
The Concept of the Shapley Value and the Cost Allocation Between Cooperating Participants
Alexander Kolker (GE Healthcare, USA)
Copyright: © 2018 |Pages: 13
DOI: 10.4018/978-1-5225-2255-3.ch182
Abstract
The goal of this chapter is to illustrate two mathematical game theory concepts for allocating costs (savings) between cooperating participants, specifically in healthcare settings. These concepts are the nucleolus and the Shapley value. The focus of this chapter is on the practical application of the Shapley value for the cost sharing within the bundled payments model for the episodes of care mandated recently by the Center for Medicare Services (CMS). The general Shapley value methodology is illustrated, as well as an important particular case in which each participant uses only a portion of the largest participant's asset (the so-called airport game). The intended readers are primarily leaders of organizations and hospitals involved in the implementation of the CMS mandated bundled payment model for the episodes of care.
Full Text Chapter Download: US $37.50 Add to Cart
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Chapter 97
Game Theory for Cost Allocation in Healthcare
A game theory concept defined as minimizing the maximum “unhappiness” of a coalition. “Unhappiness” (or “excess”) of a coalition is defined as the difference between what the members of the coalition could get by themselves and what they are actually getting if they accept the allocations suggested by the nucleolus.
Published in Chapter: Game Theory for Cost Allocation in Healthcare; From: Encyclopedia of Business Analytics and Optimization
Full Text Chapter Download: US $37.50 Add to Cart
Chapter 47
The Concept of the Shapley Value and the Cost Allocation Between Cooperating Participants
A game theory concept defined as minimizing the maximum “unhappiness” of a coalition. “Unhappiness” (or “excess”) of a coalition is defined as the difference between what the members of the coalition could get by themselves and what they are actually getting if they accept the allocations suggested by the nucleolus.
Published in Chapter: The Concept of the Shapley Value and the Cost Allocation Between Cooperating Participants; From: Advanced Methodologies and Technologies in Business Operations and Management
Full Text Chapter Download: US $37.50 Add to Cart
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