2020
DOI: 10.1007/s00199-020-01288-8
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Network formation with myopic and farsighted players

Abstract: We adopt the notion of myopic-farsighted stable set to study the stability of networks when myopic and farsighted individuals decide with whom they want to form a link, according to some utility function that weighs the costs and benefits of each connection. A myopic-farsighted stable set is the set of networks satisfying internal and external stability with respect to the notion of myopic-farsighted improving path. We first provide conditions on the utility function that guarantee the existence of a myopic-fa… Show more

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Cited by 22 publications
(6 citation statements)
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“…Luo, Mauleon and Vannetelbosch (2021) propose the notion of myopic-farsighted stable set to determine the networks that are stable when some players are myopic while others are farsighted. 7 A set of networks G is a myopic-farsighted stable set if the following two conditions hold.…”
Section: Relationship With Myopic-farsighted Stable Setsmentioning
confidence: 99%
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“…Luo, Mauleon and Vannetelbosch (2021) propose the notion of myopic-farsighted stable set to determine the networks that are stable when some players are myopic while others are farsighted. 7 A set of networks G is a myopic-farsighted stable set if the following two conditions hold.…”
Section: Relationship With Myopic-farsighted Stable Setsmentioning
confidence: 99%
“…Luo, Mauleon and Vannetelbosch (2021) propose the notion of myopic-farsighted stable set. A set of networks is a myopic-farsighted stable set if two conditions hold: (internal stability) for any two networks in the myopic-farsighted stable set there is no myopicfarsighted improving path from one network to the other one; (external stability): for every network outside the myopic-farsighted stable set there is a myopic-farsighted improving path leading to some network in the myopic-farsighted stable set.…”
Section: Introductionmentioning
confidence: 99%
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“…Many recent papers study farsightedness in general environments by the use of the farsighted stable set (Ray and Vohra, 2015) and its refinements (Dutta and Vohra, 2017;Bloch and van den Nouweland, 2019), as well as in the context of coalition formation (Mauleon and Vannetelbosch, 2004), network formation (Dutta et al, 2005;Page et al, 2005;Herings et al, 2009), and matching (Klaus et al, 2011). This approach can be extended to the myopic-farsighted stable set to capture the interaction between these two types of players (Herings et al, 2017;Luo et al, 2018). Our paper also studies such interactions.…”
Section: Introductionmentioning
confidence: 99%
“…Alternative notions of farsightedness are suggested by Bloch and van den Nouweland[3], Diamantoudi and Xue[5], Dutta et al[6], Dutta and Vohra[8], Dutta and Vartianen[7], Herings et al[11][12][13][14], Karos and Robles[15], Kimya[16], Luo et al[17], Mauleon and Vannetelbosch[18], Page et al[21], and Page and Wooders[20] among others.…”
mentioning
confidence: 99%