Axiomatizations of Dutta-Ray's egalitarian solution on the domain of convex games

We show that on the domain of convex games, Dutta-Ray's egalitarian solution is characterized by core selection, aggregate monotonicity, and bounded richness, a new property requiring that the poorest players cannot be made richer within the core. Replacing 'poorest' by 'poorer&#...

Descripción completa

Detalles Bibliográficos
Autores: Calleja, Pere, Llerena Garrés, Francesc, Sudhölter, Peter
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2021
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/186271
Acceso en línea:https://hdl.handle.net/2445/186271
Access Level:acceso abierto
Palabra clave:Axiomes
Funcions convexes
Igualtat
Axioms
Convex functions
Equality
Descripción
Sumario:We show that on the domain of convex games, Dutta-Ray's egalitarian solution is characterized by core selection, aggregate monotonicity, and bounded richness, a new property requiring that the poorest players cannot be made richer within the core. Replacing 'poorest' by 'poorer' allows to eliminate aggregate monotonicity. Moreover, we show that the egalitarian solution is characterized by constrained welfare egalitarianism and either bilateral consistency à la Davis and Maschler or, together with individual rationality, by bilateral consistency à la Hart and Mas-Colell.