RT Journal Article T1 Sequencing situations with position-dependent effects under cooperation A1 Saavedra Nieves, Alejandro A1 Mosquera, M. A. A1 Fiestras Janeiro, M.G. K1 Game theory K1 Position-dependent effects K1 Neighbor switching gains K1 Convexity K1 Stable allocations AB This paper innovatively addresses the effect of cooperation on sequencing situations with position-dependent effects. Specifically, we ensure the convexity of the associated sequencing games under the fulfillment of certain conditions related to the neighbor switching gains. Additionally, we propose two families of allocation rules based on sharing the neighbor switching gains under two distinct procedures, each providing a path from the initial order to an optimal order. From a theoretical point of view, an axiomatization of both families of allocations is provided, and their stability is also ensured under the conditions related to convexity. PB Wiley SN 0969-6016 YR 2024 FD 2024-07-25 LK https://hdl.handle.net/10347/39746 UL https://hdl.handle.net/10347/39746 LA eng NO Saavedra-Nieves, A., Mosquera, M.A. and Fiestras-Janeiro, M.G. (2025), Sequencing situations with position-dependent effects under cooperation. Intl. Trans. in Op. Res., 32: 1620-1640. NO This work has been supported under grants PID2021-124030NB-C32 and PID2021-124030NB-C33, funded by MCIN/AEI/10.13039/501100011033/ and by “ERDF A way of making Europe”/EU, and under grants Grupos de Referencia Competitiva ED431C-2021/24 and ED431C 2020/03, funded by Consellería de Cultura, Educación e Universidades, Xunta de Galicia. the authors would like to thank the associate editor and the anonymous referee for their valuable comments. DS Minerva RD 25 abr 2026