Some advances in cooperative game theory: Indivisibilities, externalities and axiomatic approach

Y Funaki, M Núñez - Journal of Mathematical Economics, 2024 - Elsevier
This article reviews some contributions on cooperative games where the Journal of
Mathematical Economics has been influential, namely the games with non-transferable …

Games in sequencing situations with externalities

G Yang, H Sun, D Hou, G Xu - European Journal of Operational Research, 2019 - Elsevier
In this paper, we consider cooperative games in sequencing situations with externalities,
called partition sequencing games, in which the worth of a coalition can be influenced by …

Navigating Resource Conflicts: Co-opetition and Fairness

S Singhal - arxiv preprint arxiv:2311.04603, 2023 - arxiv.org
In today's dynamic and interconnected world, resource constraints pose significant
challenges across various domains, ranging from networks, logistics and manufacturing to …

Stable coalition structures in symmetric majority games: a coincidence between myopia and farsightedness

T Abe - Theory and Decision, 2018 - Springer
The objective of this paper is to study stable coalition structures in symmetric majority
games. We assume that players deviate from a coalition structure to another to maximize …

Consistency and the core in games with externalities

T Abe - International Journal of Game Theory, 2018 - Springer
In the presence of externalities across coalitions, Dutta et al.(J Econ Theory 145: 2380–
2411, 2010) characterize their value by extending Hart and Mas-Colell reduced game …

The Coase Theorem and the empty core: Inspecting the entrails after four decades

VA Aivazian, JL Callen - International Review of Law and Economics, 2023 - Elsevier
Ronald Coase pioneered the transaction cost approach to the modern analysis of
institutions, contracts, and property rights. We argue that core theory enhances Coase's …

Coalition formation in games with externalities

MP Montero - 1999 - research.tilburguniversity.edu
This paper studies an extensive form game of coalition formation with random proposers in a
situation where coalitions impose externalities on other players. It is shown that an …

The recursive nucleolus for partition function form games

G Yang, H Sun - Journal of Mathematical Economics, 2023 - Elsevier
To solve the problems about the emptiness and nonexistence of the recursive core (r-core)
as introduced by Huang and Sjöström (2003), this paper considers a new recursive solution …

On the least square prenucleolus for games with externalities

MG Fiestras-Janeiro, A Saavedra-Nieves - Optimization Letters, 2024 - Springer
In this paper we address the problem of determining the least square prenucleolus for
games with externalities. Specifically, this solution is based on the minimization of the …

Stable agreements through liability rules: A multi-choice game approach to the social cost problem

K Techer - Mathematical Social Sciences, 2021 - Elsevier
We consider a class of social cost problems in which one polluter interacts with an arbitrary
number of potential victims. Agents are supposed to cooperate and negotiate an optimal …