Stable cores in information graph games
Marina Núñez () and
No 2020/403, UB School of Economics Working Papers from University of Barcelona School of Economics
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.
Keywords: Coalitional game; information graph; core; stable set. (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Pages: 27 pages
New Economics Papers: this item is included in nep-des and nep-gth
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Journal Article: Stable cores in information graph games (2022)
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Persistent link: https://EconPapers.repec.org/RePEc:ewp:wpaper:403web
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