A revision algorithm for invalid encodings in concurrent formation of overlapping coalitions

2011 ◽  
Vol 11 (2) ◽  
pp. 2164-2172 ◽  
Author(s):  
Guofu Zhang ◽  
Jianguo Jiang ◽  
Changhua Lu ◽  
Zhaopin Su ◽  
Hua Fang ◽  
...  
2019 ◽  
Vol 271 ◽  
pp. 74-97 ◽  
Author(s):  
Yair Zick ◽  
Georgios Chalkiadakis ◽  
Edith Elkind ◽  
Evangelos Markakis

2010 ◽  
Vol 180 (17) ◽  
pp. 3140-3156 ◽  
Author(s):  
Guofu Zhang ◽  
Jianguo Jiang ◽  
Zhaopin Su ◽  
Meibin Qi ◽  
Hua Fang

2015 ◽  
Vol 66 (4) ◽  
pp. 715-734 ◽  
Author(s):  
STEVEN VANDERPUTTEN

This paper reconsiders the first ‘General Chapter’ of Benedictine abbots (late 1131). To explain the timing and circumstances of this event, previous scholarship mostly referred to the influence of the Cistercians on reformist groups within ‘traditional’ monasticism. A closer look at the primary evidence reveals how the first General Chapter needs to be framed against the activities of overlapping coalitions of ecclesiastical and secular agents pursuing various political, ideological and institutional interests. It also allows the causes of the ensuing dispute with the Cluniacs to be established more securely, and provides new insights into contemporary usages of statutes and the semantics of the word ‘ordo’.


2010 ◽  
Vol 39 ◽  
pp. 179-216 ◽  
Author(s):  
G. Chalkiadakis ◽  
E. Elkind ◽  
E. Markakis ◽  
M. Polukarov ◽  
N. R. Jennings

In the usual models of cooperative game theory, the outcome of a coalition formation process is either the grand coalition or a coalition structure that consists of disjoint coalitions. However, in many domains where coalitions are associated with tasks, an agent may be involved in executing more than one task, and thus may distribute his resources among several coalitions. To tackle such scenarios, we introduce a model for cooperative games with overlapping coalitions—or overlapping coalition formation (OCF) games. We then explore the issue of stability in this setting. In particular, we introduce a notion of the core, which generalizes the corresponding notion in the traditional (non-overlapping) scenario. Then, under some quite general conditions, we characterize the elements of the core, and show that any element of the core maximizes the social welfare. We also introduce a concept of balancedness for overlapping coalitional games, and use it to characterize coalition structures that can be extended to elements of the core. Finally, we generalize the notion of convexity to our setting, and show that under some natural assumptions convex games have a non-empty core. Moreover, we introduce two alternative notions of stability in OCF that allow a wider range of deviations, and explore the relationships among the corresponding definitions of the core, as well as the classic (non-overlapping) core and the Aubin core. We illustrate the general properties of the three cores, and also study them from a computational perspective, thus obtaining additional insights into their fundamental structure.


Author(s):  
Vitor A. dos Santos ◽  
Giovanni C. Barroso ◽  
Mario F. Aguilar ◽  
Antonio B. Serra ◽  
Jose M. Soares

2009 ◽  
Vol 8 (1) ◽  
pp. 1-5 ◽  
Author(s):  
Georgios Chalkiadakis ◽  
Edith Elkind ◽  
Evangelos Markakis ◽  
Maria Polukarov ◽  
Nicholas R. Jennings

Author(s):  
Michail Mamakos ◽  
Georgios Chalkiadakis

In this work, we provide novel methods which benefit from obtained probability bounds for assessing the ability of teams of agents to accomplish coalitional tasks. To this end, our first method is based on an improvement of the Paley-Zygmund inequality, while the second and the third ones are devised based on manipulations of the two-sided Chebyshev’s inequality and the Hoeffding’s inequality, respectively. Agents have no knowledge of the amount of resources others possess; and hold private Bayesian beliefs regarding the potential resource investment of every other agent. Our methods allow agents to demand that certain confidence levels are reached, regarding the resource contributions of the various coalitions. In order to tackle real-world scenarios, we allow agents to form overlapping coalitions, so that one can simultaneously be part of a number of coalitions. We thus present a protocol for iterated overlapping coalition formation (OCF), through which agents can complete tasks that grant them utility. Agents lie on a social network and their distance affects their likelihood of cooperation towards the completion of a task. We confirm our methods’ effectiveness by testing them on both a random graph of 300 nodes and a real-world social network of 4039 nodes.


2012 ◽  
Vol 14 (01) ◽  
pp. 1250004 ◽  
Author(s):  
CAMELIA BEJAN ◽  
JUAN CAMILO GÓMEZ

This work uses the defining principles of the core solution concept to determine not only payoffs but also coalition formation. Given a cooperative transferable utility (TU) game, we propose two noncooperative procedures that in equilibrium deliver a natural and nonempty core extension, the aspiration core, together with the supporting coalitions it implies. As expected, if the cooperative game is balanced, the grand coalition forms. However, if the core is empty, other coalitions arise. Following the aspiration literature, not only partitions but also overlapping coalition configurations are allowed. Our procedures interpret this fact in different ways. The first game allows players to participate with a fraction of their time in more than one coalition, while the second assigns probabilities to the formation of potentially overlapping coalitions. We use the strong Nash and subgame perfect Nash equilibrium concepts.


2016 ◽  
Vol 82 (3) ◽  
pp. 435-459
Author(s):  
Messan Agbaglah

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