Saavedra Nieves, AlejandroMosquera, M. A.Fiestras Janeiro, M.G.2025-02-192025-02-192024-07-25Saavedra-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: 1620-1640.0969-6016https://hdl.handle.net/10347/39746This 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.eng© 2024 The Author(s). International Transactions in Operational Research published by John Wiley & Sons Ltd on behalf of International Federation of Operational Research SocietiesAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/Game theoryPosition-dependent effectsNeighbor switching gainsConvexityStable allocationsjournal article10.1111/itor.135181475-3995open access