The existence of TU alpha-core in normal form games

Authors
Zhao, JG
Citation
Jg. Zhao, The existence of TU alpha-core in normal form games, INT J GAME, 28(1), 1999, pp. 25-34
Citations number
5
Categorie Soggetti
Economics
Journal title
INTERNATIONAL JOURNAL OF GAME THEORY
ISSN journal
00207276 → ACNP
Volume
28
Issue
1
Year of publication
1999
Pages
25 - 34
Database
ISI
SICI code
0020-7276(1999)28:1<25:TEOTAI>2.0.ZU;2-I
Abstract
This paper provides a TU alpha-core existence result in a large class of no rmal form games. In the oligopoly markets of a homogeneous good, the TU alp ha-core is non-empty if all profit functions are continuous and concave. In a general game, the existence of TU alpha-core follows from the weak separ ability, the compactness and convexity of choice sets, and the concavity an d continuity of payoff functions.