3 citations · 8 across the 7 of their papers we have counts for
10 papers
Second-Order Potentials for Finite Games: Existence, Characterisation, and Game Decomposition
Robert P. Gilles
Monderer and Shapley (1996) showed that a game is a potential game precisely when the players' second-order cross-differences agree pair by pair. This paper asks what can be built…
Game theoretic foundations of the Gately power measure for directed networks
Robert P. Gilles, Lina Mallozzi
We introduce a new network centrality measure founded on the Gately value for cooperative games with transferable utilities. A directed network is interpreted as representing contr…
Gately Values of Cooperative Games
Robert P. Gilles, Lina Mallozzi
We investigate Gately's solution concept for cooperative games with transferable utilities. Gately's conception introduced a bargaining solution that minimises the maximal quantifi…
Emergent Collaboration in Social Purpose Games
Robert P. Gilles, Lina Mallozzi, Roberta Messalli
We study a class of non-cooperative aggregative games -- denoted as \emph{social purpose games} -- in which the payoffs depend separately on a player's own strategy (individual ben…
Expected Values for Variable Network Games
Subhadip Chakrabarti, Loyimee Gogoi, Robert P Gilles +2
A network game assigns a level of collectively generated wealth to every network that can form on a given set of players. A variable network game combines a network game with a net…
Building social networks under consent: A survey
Robert P. Gilles
This survey explores the literature on game-theoretic models of network formation under the hypothesis of mutual consent in link formation. The introduction of consent in link form…
The Core of an Economy with an Endogenous Social Division of Labour
Robert P. Gilles
This paper considers the core of a competitive market economy with an endogenous social division of labour. The theory is founded on the notion of a "consumer-producer", who consum…
Middlemen and Contestation in Directed Networks
Owen Sims, Robert P Gilles
This paper studies critical nodes or "middlemen" that intermediate flows in a directed network. The contestability of a node is introduced as a network topological concept of compe…
Critical Nodes In Directed Networks
Owen Sims, Robert P. Gilles
Critical nodes or "middlemen" have an essential place in both social and economic networks when considering the flow of information and trade. This paper extends the concept of cri…
Platform Competition as Network Contestability
Robert P. Gilles, Dimitrios Diamantaras
Recent research in industrial organisation has investigated the essential place that middlemen have in the networks that make up our global economy. In this paper we attempt to und…