Convexity of production, common pool and oligopoly games: a survey

Theo S. H. Driessen, and Holger Meinhardt. "Convexity of production, common pool and oligopoly games: a survey." Banach Center Publications 71.1 (2006): 83-92. <http://eudml.org/doc/281864>.

@article{TheoS2006,
abstract = {The paper surveys a uniform proof technique of the convexity property for three different cooperative TU games arising from three different economical settings. The production economy, common pool situation and oligopoly framework involve a cost function, but different production functions. Each of the three corresponding game theoretic models refers to some maximization problem described by optimizing a certain net profit function over all feasible production levels. The current mathematical proof of the convexity of any of three cooperative TU games is strongly based on the interchangeability of maximizers for the underlying maximization problems. This uniform proof technique is inspired by the interchangeability of two players concerning the convexity condition in terms of the marginal contributions of both players in the TU game.},
author = {Theo S. H. Driessen, Holger Meinhardt},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {83-92},
title = {Convexity of production, common pool and oligopoly games: a survey},
url = {http://eudml.org/doc/281864},
volume = {71},
year = {2006},
}

TY - JOUR
AU - Theo S. H. Driessen
AU - Holger Meinhardt
TI - Convexity of production, common pool and oligopoly games: a survey
JO - Banach Center Publications
PY - 2006
VL - 71
IS - 1
SP - 83
EP - 92
AB - The paper surveys a uniform proof technique of the convexity property for three different cooperative TU games arising from three different economical settings. The production economy, common pool situation and oligopoly framework involve a cost function, but different production functions. Each of the three corresponding game theoretic models refers to some maximization problem described by optimizing a certain net profit function over all feasible production levels. The current mathematical proof of the convexity of any of three cooperative TU games is strongly based on the interchangeability of maximizers for the underlying maximization problems. This uniform proof technique is inspired by the interchangeability of two players concerning the convexity condition in terms of the marginal contributions of both players in the TU game.
LA - eng
UR - http://eudml.org/doc/281864
ER -