Solidarity to achieve stability
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- AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2021-127119NB-I00/ES/
- AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-107539GB-I00/ES/
- AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-115011GB-I00/ES/
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Abstract
Agents may form coalitions. Each coalition shares its endowment among its agents by applying a sharing rule. The sharing rule induces a coalition formation problem by assuming that agents rank coalitions according to the allocation they obtain in the corresponding sharing problem. We characterize the sharing rules that induce a class of stable coalition formation problems as those that satisfy a natural axiom that formalizes the principle of solidarity. Thus, solidarity becomes a sufficient condition to achieve stability.
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