# Events

## Talk given by Ayse Mutlu Derya (Bilkent University Ankara)

Begin: Mon, 14. of Oct 2013 ( 1:00 PM)Location: Warburger Straße 100, Room C2.235

On October 14, 2013, Ayse Mutlu Derya will give a talk on "A Characterization of the Myerson Value".

Abstract:

Many problems in game theory are modeled as graphs,
where nodes are assumed to represent players and edges (or links)
between them are assumed to represent relationships

between the players. One of the main and earliest contributions in
network games is due to Myerson (1977), where he adapts the
cooperative game theory structures to network structures in which
the games are modeled as graphs. Among many others, Myerson’s
contribution to allocation rules for networks, named as the Myerson
value, is to adapt the Shapley value (1953) which is defined as an
allocation rule for cooperative games. Myerson’s characterization is
valid for component additive value functions. In this paper, we give
a characterization of the Myerson value. Our characterization is
valid for all value functions, not just for component additive value
functions. We modify our axioms in networks to axioms in cooperative
games, and give also a characterization of the Shapley value, which
is similar to our characterization of the Myerson value. Two points
are worth mentioning. One is that the method we use at our
characterization of the Shapley value is pretty similar to Shapley’s
original characterization. The other is that similarity of our
characterizations of the Myerson value and the Shapley value is not
that surprising, yet the similarity contributes how the information
changes when one passes from transferable utility games to networks
or vice versa.