Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/322790 
Year of Publication: 
2009
Series/Report no.: 
Discussion Papers Series No. 09-07
Publisher: 
Utrecht University, Utrecht School of Economics, Tjalling C. Koopmans Research Institute, Utrecht
Abstract: 
This paper considers a multi-player stag hunt where players are either available for action or not, and where players additionally differ in their degree of conservatism, i.e. in the threshold of players that need to act along with them before they see benefits in collective action. Minimal sufficient networks, which depending on their thresholds allow players to achieve just enough interactive knowledge about each other's availability to act, take the form of hierarchies of cliques (Chwe, RES, 2000). We show that any typical threshold game has a plethora of such networks, so that players seem to face a large degree of strategic uncertainty over which network to use. The plethora of networks includes cases where the structure of the network infects players into acting more conservatively than is reflected in their thresholds. An extreme case of this is the core-periphery network, where each player acts as conservatively as the most conservative player in the population. Because of this feature, the core-periphery network is minimal sufficient for all possible populations. Players can thus solve the strategic uncertainty arising from the multiplicity of minimal sufficient networks by using the all-purpose core-periphery network.
Subjects: 
Threshold Game
Common Knowledge
Network Formation
Collective Action
Document Type: 
Working Paper

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