Social organizations and matching theory
โ Scribed by F. Masarani; S. S. Gokturk
- Book ID
- 104636850
- Publisher
- Springer US
- Year
- 1988
- Tongue
- English
- Weight
- 864 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0040-5833
No coin nor oath required. For personal study only.
โฆ Synopsis
We generalize the Gale-Shapley matching theory to the formation of social units consisting of more than two individuals and each individual having more than one role.
We show how social preferences and social structure could conflict with freedom. In the absence of such a conflict, we define stability and show that this could conflict with social preferences and social structure. Next, we define Rawlsian justice in case of stability and show how social preferences and social structure can conflict with justice. Thus, it is the social preferences and social-structure which decide whether our concepts of freedom, stability, and justice are achievable or not.
๐ SIMILAR VOLUMES
This study of matching theory deals with bipartite matching, network flows, and presents fundamental results for the non-bipartite case. It goes on to study elementary bipartite graphs and elementary graphs in general. Further discussed are 2-matchings, general matching problems as linear programs,