Pedro Calleja , Francesc Llerena , Peter Sudhölter
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Remarks on solidarity in bankruptcy problems when agents merge or split
In this note, we investigate the relationship between non-manipulability via merging (splitting) and strong non-manipulability via merging (splitting). Our analysis reveals that while these two non-manipulability axioms are generally not equivalent, they do coincide when the principle of solidarity is satisfied. This principle is fulfilled by a wide range of bankruptcy rules, including parametric rules.
期刊介绍：
The international, interdisciplinary journal Mathematical Social Sciences publishes original research articles, survey papers, short notes and book reviews. The journal emphasizes the unity of mathematical modelling in economics, psychology, political sciences, sociology and other social sciences.
Topics of particular interest include the fundamental aspects of choice, information, and preferences (decision science) and of interaction (game theory and economic theory), the measurement of utility, welfare and inequality, the formal theories of justice and implementation, voting rules, cooperative games, fair division, cost allocation, bargaining, matching, social networks, and evolutionary and other dynamics models.
Papers published by the journal are mathematically rigorous but no bounds, from above or from below, limits their technical level. All mathematical techniques may be used. The articles should be self-contained and readable by social scientists trained in mathematics.
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