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E20-403_Nuñez+VidalPuga.pdf (375.62 KB)

Tipus de document

Document de treball

Data de publicació

2020

Llicència de publicació

cc-by-nc-nd, (c) Núñez et al., 2020
Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/172298

Stable cores in information graph games [WP]

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Resum

Stable cores in information graph games Abstract: In an information graph situation, some agents that are connected by an undirected graph can share with no cost some information or technology that can also be obtained from a source. If an agent is not connected to an informed player, this agent pays a unitary cost to obtain this technology. A coalitional cost game can be defined from this situation, and the core of this game is known to be non- empty. We prove that the core of an information graph game is a von Neumann-Morgenstern stable set if and only if the graph is cycle- complete, or equivalently if the information graph game is concave. When the graph is not cycle-complete, whether there always exists a stable set is an open question. In this regard, we show that if the information graph consists of a ring that contains the source, then a stable set always exists and it is the core of a related information graph situation where one edge has been deleted.

Matèries

Teoria de jocs, Teoria de grafs, Àlgebres de Von Neumann

Matèries (anglès)

Game theory, Von Neumann algebras, Graph theory

Citació

Col·leccions

UB Economics – Working Papers [ERE]
Documents de treball (Matemàtica Econòmica, Financera i Actuarial)

Citació

NÚÑEZ, Marina (Núñez Oliva) and VIDAL-PUGA, Juan. Stable cores in information graph games [WP]. UB Economics – Working Papers. 2020. Vol.  E20/403. [consulted: 4 of August of 2026]. Available at: https://hdl.handle.net/2445/172298

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