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Balanced weights and three-sided coalition formation

Lazarova, Emiliya A.; Dimitrov, Dinko - In: Games 1 (2010) 2, pp. 159-167

the average rankings of the other types of groups. We show that a core stable coalition structure always exists, provided …

Persistent link: https://www.econbiz.de/10009751376

Universally balanced combinatorial optimization games

Demange, Gabrielle; Deng, Xiaotie - In: Games 1 (2010) 3, pp. 299-316

requirement reflects some forms of indivisibility. We are interested in the classes of games that guarantee a non-empty core no …

Persistent link: https://www.econbiz.de/10009751967

A note on the core of TU-cooperative games with multiple membership externalities

Nax, Heinrich H. - In: Games 5 (2014) 4, pp. 191-203

-298) is proposed to allow for multiple membership. The definition of the core is adapted analogously and the possibilities for …

Persistent link: https://www.econbiz.de/10010422383

The recursive core for non-superadditive games

Huang, Chen-ying; Sjöström, Tomas - In: Games 1 (2010) 2, pp. 66-88

We study the recursive core introduced in Huang and Sjöström [8]. In general partition function form games, the … recursive core coalition structure may be either coarser or finer than the one that maximizes the social surplus. Moreover, the … recursive core structure is typically different from the one predicted by the α-core. We fully implement the recursive core for …

Persistent link: https://www.econbiz.de/10009751381

The integer nucleolus of directed simple games : a characterization and an algorithm

Wolff, Reiner - In: Games 8 (2017) 1, pp. 1-12

We study the class of directed simple games, assuming that only integer solutions are admitted; i.e., the players share a resource that comes in discrete units. We show that the integer nucleolus-if nonempty-of such a game is composed of the images of a particular payoff vector under all...

Persistent link: https://www.econbiz.de/10011621467

Climate change sustainability : from bargaining to cooperative balanced approach

Ciano, Tiziana; Ferrara, Massimiliano; Gangemi, Mariangela - In: Games 12 (2021) 2, pp. 1-13

This work aims to provide different perspectives on the relationships between cooperative game theory and the research field concerning climate change dynamics. New results are obtained in the framework of competitive bargaining solutions and related issues, moving from a cooperative approach to...

Persistent link: https://www.econbiz.de/10012547760

Egalitarian allocations and convexity

Dragan, Irinel C. - In: Games 13 (2022) 2, pp. 1-4

In the Inverse Set, relative to the Shapley Value of a non-convex cooperative game, we derive a procedure to find out a convex game in which the Egalitarian Allocation is a coalitional rational value. The procedure depends on the relationship between two parameters called the Convexity Threshold...

Persistent link: https://www.econbiz.de/10013172495

Some properties of interval Shapley values : an axiomatic analysis

Ishihara, Shinichi; Shino, Junnosuke - In: Games 14 (2023) 3, pp. 1-10

Interval games are an extension of cooperative coalitional games, in which players are assumed to face payoff uncertainty. Characteristic functions thus assign a closed interval instead of a real number. This study revisits two interval game versions of Shapley values (i.e., the interval Shapley...

Persistent link: https://www.econbiz.de/10014426296

Fair allocation in crowd-sourced systems

Assif, Mishal; Kennedy, William; Saniee, Iraj - In: Games 14 (2023) 4, pp. 1-18

In this paper, we address the problem of fair sharing of the total value of a crowd-sourced network system between major participants (founders) and minor participants (crowd) using cooperative game theory. We use the framework of a Shapley allocation which is regarded as a fundamental method of...

Persistent link: https://www.econbiz.de/10014426363

Shapley value-based payment calculation for energy exchange between micro- and utility grids

Pilling, Robin; Chang, Shi Chung; Luh, Peter B. - In: Games 8 (2017) 4, pp. 1-12

In recent years, microgrids have developed as important parts of power systems and have provided affordable, reliable, and sustainable supplies of electricity. Each microgrid is managed as a single controllable entity with respect to the existing power system but demands for joint operation and...

Persistent link: https://www.econbiz.de/10011771188