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arXiv · 2201.02793

The component-wise egalitarian Myerson value for Network Games

Surajit Borkotokey·Sujata Goala·Niharika Kakoty·Parishmita Boruah
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Abstract

We introduce the component-wise egalitarian Myerson value for network games. This new value being a convex combination of the Myerson value and the component-wise equal division rule is a player-based allocation rule. In network games under the cooperative framework, the Myerson value is an extreme example of marginalism, while the equal division rule signifies egalitarianism. In the proposed component-wise egalitarian Myerson value, a convexity parameter combines these two attributes and determines the degree of solidarity to the players. Here, by solidarity, we mean the mutual support or compensation among the players in a network. We provide three axiomatic characterizations of the value. Further, we propose an implementation mechanism for the component-wise egalitarian Myerson value under subgame perfect Nash equilibrium.

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Surajit Borkotokey, Sujata Goala, Niharika Kakoty, Parishmita Boruah. 2022-01-08. The component-wise egalitarian Myerson value for Network Games. https://arxiv.org/abs/2201.02793

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