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Markus Kinateder
Universidad de Navarra (Spain)
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My Research Interests are Microeconomics, Game Theory and Network Economics.
PLEASE NOTE, THAT MY RESEARCH WILL NOT BE UPDATED
ANY MORE ON THIS SITE,
but only on my new webpage at the University of
Navarre. You should be able to find it (soon) by
clicking on my name on the list of
professors of the Department of Economics.
Repeated Games
Played in a Network
WP
674.06 Dept. Econ. UAB (this version: June 2008; first version: 23 Oct.
2006)
Abstract: Delayed perfect monitoring in an
infinitely repeated discounted
game is modelled by allocating the players
to a connected and undirected
network. Players observe their immediate
neighbors behavior only, but com-
municate over time the repeated games
history truthfully throughout the
network. The Folk Theorem extends to this
setup, although for a range of
discount factors strictly below 1, the set
of sequential equilibria and the cor-
responding payoff set are reduced under
certain conditions. A general class
of games is analyzed without imposing
restrictions on the dimensionality of
the payoff space. A network result
obtains; namely, the level of cooperation
in this setup depends on the networks
diameter, and not on its clustering
coefficient as in other models. This model
applies in more general situations
(without network) in which there is a
heterogeneous delay between information
generation and the players reaction to
it.
Team
Formation in a Network (first final
version: June 2008)
Abstract: Two project leaders in a network, which captures social relations,
recruit players in a strategic, competitive and
time-limited process. Each
team has an optimal size depending on the
projects quality which is a ran-
dom variable with a commonly known distribution.
Only the corresponding
project leader observes its realization. Any
decision is only observed by the
involved agents. A pure strategy Sequential
Equilibrium exists under weak con-
ditions. An agents payoff is related to his
position in the network, though no
measure in the literature captures this relation.
Hence, a way to categorize
players is proposed. Due to the networks
geography inefficient unemployment
may arise in equilibrium.
The Repeated Prisoners
Dilemma in a Network (preliminary
version: June 2008)
Abstract: An
infinitely repeated discounted Prisoners Dilemma played on a con-
nected,
undirected and fixed network is studied. Players observe their immediate
neighbors
behavior only, but communicate over time the repeated games history
throughout
the network. The delay in receiving this information requires the
players to be
more patient to sustain the same level of cooperation as in a
complete
network. In special cases, the network need not be connected. The re-
duction in
the set of payoff vectors supportable by sequential equilibria, which is
due to the
network, is illustrated analytically and graphically for three players in
a star versus
a complete network. The set of sequential equilibria under strategic
communication
intersects with that under exogenously imposed truthtelling,
though each
is not a subset of the other for some range of discount factors.

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