Non-Emptiness of the Core of MCST Games with Revenues: a Necessary and Some Sufficient Conditions

Begoña Subiza, José Manuel Giménez-Gómez () and Josep E. Peris ()
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José Manuel Giménez-Gómez: Universitat Rovira i Virgili, Dept. d’Economia and ECO-SOS
Josep E. Peris: Universitat d’Alacant, MQiTE and IUDESP

No 24-4, QM&ET Working Papers from University of Alicante, D. Quantitative Methods and Economic Theory

Abstract: A minimum cost spanning tree problem analyzes the way to efficiently connect agents to a source when they are located at different places. Estevez-Fernandez and Reijnierse (2014) investigate minimum cost spanning tree problems with revenues, where agents can obtain benefits if they are connected to the source. They figure out that ensuring the non-emptiness of the core in cost-revenue games presents a significant challenge. We address minimum cost spanning tree problems with revenues, focusing on two main objectives: first, to derive general necessary conditions for the non-emptiness of the core; and second, to identify sufficient conditions, within specific contexts, that guarantee that the core is not empty.

Keywords: Minimum cost spanning tree problem; Cost-revenue game; Core (search for similar items in EconPapers)
JEL-codes: C71 D63 D71 (search for similar items in EconPapers)
Pages: 42 pages
Date: 2024-09-03
New Economics Papers: this item is included in nep-gth
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Persistent link: https://EconPapers.repec.org/RePEc:ris:qmetal:2024_004

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