Vertical integration with endogenous contract leadership: Stability and fair profit allocation

Y Kumoi, N Matsubayashi - European Journal of Operational Research, 2014 - Elsevier
This paper studies vertical integration in serial supply chains with a wholesale price contract.
We consider a business environment where the contracting leader may be endogenously …

The γ-core in Cournot oligopoly TU-games with capacity constraints

A Lardon - Theory and Decision, 2012 - Springer
In cooperative Cournot oligopoly games, it is known that the β-core is equal to the α-core,
and both are non-empty if every individual profit function is continuous and concave (Zhao …

Convexity of oligopoly games without transferable technologies

TSH Driessen, HI Meinhardt - Mathematical Social Sciences, 2005 - Elsevier
We present sufficient conditions involving the inverse demand function and the cost
functions to establish the convexity of oligopoly TU-games without transferable technologies …

The pre-kernel as a tractable solution for cooperative games

H Meinhardt - Theory and Decision Library C, Springer, 2014 - Springer
This book provides an alternative approach to study the pre-kernel solution of transferable
utility games based on a generalized conjugation theory from convex analysis. Although the …

Characteristic functions in a linear oligopoly TU game

A Sedakov - Frontiers of Dynamic Games: Game Theory and …, 2018 - Springer
We consider a linear oligopoly TU game without transferable technologies in which the
characteristic function is determined from different perspectives. In so-called γ-, δ-, and ζ …

The pre-kernel as a fair division rule for some cooperative game models

HI Meinhardt - Game Theory in Management Accounting …, 2018 - Springer
Rather than considering fairness as some private property or a subjective feeling of an
individual, we study fairness on a set of principles (axioms) which describes the pre-kernel …

Convexity of Bertrand oligopoly TU-games with differentiated products

A Lardon - Annals of Operations Research, 2020 - Springer
We consider Bertrand oligopoly TU-games with differentiated products. We assume that the
demand system is Shubik's and that firms operate at a constant and identical marginal and …

Characteristic function and time consistency for two-stage games with network externalities

A Sedakov - Mathematics, 2020 - mdpi.com
Time consistency is a property of the solution to a cooperative dynamic game which
guarantees that this solution remains stable with respect to its revision by players over time …

Endogenous interval games in oligopolies and the cores

A Lardon - Annals of Operations Research, 2017 - Springer
In this article we study interval games in oligopolies following the γ γ-approach. First, we
analyze their non-cooperative foundation and show that each coalition is associated with an …

On the supermodularity of homogeneous oligopoly games

T Driessen, H Meinhardt - International Game Theory Review, 2010 - World Scientific
The main purpose is to prove the supermodularity (convexity) property of a cooperative
game arising from an economical situation. The underlying oligopoly situation is based on a …