Fair stable sets of simple games

Talamàs, Eduard

doi:10.1016/j.geb.2017.08.004

Cited by 1 publication

(1 citation statement)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Characterization of those coalitional games with a stable core is still an open question although a stronger notion of the stable core is characterized in Jain and Vohra (2010). Stable sets have been found on several classes of games, such as assignment games (Núñez and Rafels, 2013), linear production games Shitovitz, 2000, 2010), pillage games (MacKenzie et al, 2015), patent licensing games (Hirai and Watanabe, 2018), matching problems (Herings et al, 2017), tournaments (Brandt, 2011), voting games (Talamàs, 2018), and exchange economies (Graziano et al, 2015(Graziano et al, , 2017. Non-cooperative foundations of stable sets can be found in Anesi (2010); Diermeier and Fong (2012).…”

Section: Introductionmentioning

confidence: 99%

Stable cores in information graph games

Núñez

Vidal-Puga

2022

Games and Economic Behavior

View full text Add to dashboard Cite

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.. JEL Codes: C71.

show abstract