Convexity in stochastic cooperative situations

J Timmer, P Borm, S Tijs - International Game Theory Review, 2005 - World Scientific
This paper introduces a new model concerning cooperative situations in which the payoffs
are modeled by random variables. We analyze these situations by means of cooperative …

Bankruptcy games with nontransferable utility

B Dietzenbacher - Mathematical Social Sciences, 2018 - Elsevier
This paper analyzes bankruptcy games with nontransferable utility as a generalization of
bankruptcy games with monetary payoffs. Following the game theoretic approach to NTU …

Nontransferable utility bankruptcy games

A Estévez-Fernández, P Borm, MG Fiestras-Janeiro - Top, 2020 - Springer
In this paper, we analyze bankruptcy problems with nontransferable utility (NTU) from a
game theoretical perspective by redefining corresponding NTU-bankruptcy games in a tailor …

Efficiency and the core in NTU games in partition function form

G Bimonte, L Senatore, S Tramontano - Annals of Operations Research, 2024 - Springer
The aim of this paper is to establish a necessary and sufficient condition for the non-
emptiness of the core in NTU games in partition function form, given an externality scheme …

[HTML][HTML] The equal split-off set for NTU-games

B Dietzenbacher, E Yanovskaya - Mathematical Social Sciences, 2023 - Elsevier
This paper introduces and studies the equal split-off set for cooperative games with
nontransferable utility. We illustrate the new solution for the well-known Roth-Shafer …

How to divide a cake when people have different metabolism?

L Carpente, B Casas-Méndez, J Gozálvez… - … Methods of Operations …, 2013 - Springer
This paper deals with bankruptcy problems in which the players have different utility
functions defined in terms of the quantity of allocated resources. We tackle this kind of …

Convex and exact games with non-transferable utility

P Csóka, PJJ Herings, LÁ Kóczy, M Pintér - European journal of operational …, 2011 - Elsevier
We generalize exactness to games with non-transferable utility (NTU). A game is exact if for
each coalition there is a core allocation on the boundary of its payoff set. Convex games with …

Strong convexity of NTU games

T Masuzawa - International Journal of Game Theory, 2012 - Springer
Strong convexity of NTU games Page 1 Int J Game Theory (2012) 41:699–705 DOI 10.1007/s00182-012-0330-1
Strong convexity of NTU games Takuya Masuzawa Published online: 29 April 2012 © …

Nontransferable utility bankruptcy games

A Estévez-Fernández, P Borm, MG Fiestras-Janeiro - 2014 - papers.ssrn.com
In this paper, we analyze bankruptcy problems with nontransferable utility (NTU) from a
game theoretical perspective by redefining corresponding NTU-bankruptcy games in a tailor …

[PDF][PDF] Solutions for cooperative games with and without transferable utility

T Suzuki - 2015 - research.tilburguniversity.edu
Each individual, firm, country, or any kind of economic agent in the society is making
decisions on a daily basis to achieve respective goals often under some physical …