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Equilibrium refinements for the network formation game

Rahmi İlkılıç () and Hüseyin İkizler ()
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Rahmi İlkılıç: Universidad de Chile

Review of Economic Design, 2019, vol. 23, issue 1, No 3, 13-25

Abstract: Abstract This paper examines a normal form game of network formation due to Myerson (Game theory: analysis of conflict, Harvard University Press, Cambridge, 1991). All players simultaneously announce the links they wish to form. A link is created if and only if there is mutual consent for its formation. The empty network is always a Nash equilibrium of this game. We define a refinement of Nash equilibria that we call trial perfect. We show that the set of networks which can be supported by a pure strategy trial perfect equilibrium coincides with the set of pairwise-Nash equilibrium networks, for games with link-responsive payoff functions.

Keywords: Networks; Network formation; Pairwise-stability; Equilibrium refinement (search for similar items in EconPapers)
JEL-codes: C62 C72 D85 L14 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10058-019-00218-y

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