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Networks, Communication and Hierarchy : Applications to Cooperative Games

Algaba, Encarnacion; van den Brink, Rene - 2021

Agents participating in different kind of organizations, usually take different positions in some network structure …. Two well-known network structures are hierarchies and communication networks. We give an overview of the most common … models of communication and hierarchy restrictions in cooperative games, compare different network structures with each other …

Persistent link: https://www.econbiz.de/10013245232

Networks, communication and hierarchy : applications to cooperative games

Algaba, Encarnación; Brink, René van den - 2021

Persistent link: https://www.econbiz.de/10012434059

Games of Connectivity

Dubey, Pradeep K. - 2006

We consider a communications network in which users transmit beneficial information to each other at a cost. We …

Persistent link: https://www.econbiz.de/10012779071

The Bonacich Shapley centrality

Allouch, Nizar; Meca, Ana; Polotskaya, K. - 2021

In this paper, we develop a new game theoretic network centrality measure based on the Shapley value. To do so, we …

Persistent link: https://www.econbiz.de/10012584076

Axiomatization and Implementation of Discounted Shapley Values

Brink, René van den; Funaki, Yukihiko - 2010

We generalize the null player property (satisfied by the Shapley value) and nullifying player property (satisfied by the equal division solution) to the so-called delta-reducing player property, stating that a delta-reducing player (being a player such that any coalition containing this player...

Persistent link: https://www.econbiz.de/10014045005

The Shapley Value for Partition Function Form Games

Kim Hang Pham Do; Norde, Henk - 2011

Different axiomatic systems for the Shapley value can be found in the literature. For games with a coalition structure, the Shapley value also has been axiomatized in several ways. In this paper, we discuss a generalization of the Shapley value to the class of partition function form games. The...

Persistent link: https://www.econbiz.de/10014199078

New Axiomatizations and an Implementation of the Shapley Value

Kongo, Takumi; Funaki, Yukihiko; Tijs, Stef - 2007

Some new axiomatic characterizations and recursive formulas of the Shapley value are presented. In the results, dual games and the self-duality of the value implicitly play an important role. A set of non-cooperative games which implement the Shapley value on the class of all games is given

Persistent link: https://www.econbiz.de/10014222309

Consistency, Monotonicity and Implementation of Egalitarian Shapley Values

Brink, René van den; Funaki, Yukihiko; Ju, Yuan - 2007

One of the main issues in economics is the trade-off between marginalism and egalitarianism. In the context of cooperative games this trade-off can be framed as one of choosing to allocate according to the Shapley value or the equal division solution. In this paper we provide tools that make it...

Persistent link: https://www.econbiz.de/10014224553

On the Stability of Cooperation Structures

Haeringer, Guillaume - 2002

This paper studies the payoff structure of stable cooperation structures in link formation games. Players choose non-cooperatively with whom they want to form a link, and the payoffs are given by the Myerson value of the cooperation structure obtained. We characterize the class of TU-games that...

Persistent link: https://www.econbiz.de/10014118585

A Strategic Implementation of the Average Tree Solution for Cycle-Free Graph Games

van den Brink, René - 2012

In this note we provide a strategic implementation of the average tree solution for zero-monotonic cycle-free graph games. That is, we propose a non-cooperative mechanism of which the unique subgame perfect equilibrium payoffs correspond to the average hierarchical outcome of the game. This...

Persistent link: https://www.econbiz.de/10013106856