Approximate cores of games and economies with clubs
Kovalenkova, Alexander and Wooders, Myrna Holtz. (2003) Approximate cores of games and economies with clubs. Journal of Economic Theory, 110 (1). pp. 87-120. ISSN 0022-0531Full text not available from this repository.
Official URL: http://dx.doi.org/10.1016/S0022-0531(03)00003-6
We introduce the framework of parameterized collections of games with and without sidepayments and provide three nonemptiness of approximate core theorems. The parameters bound (a) the number of approximate types of players and the size of the approximation and (b) the size of nearly effective groups of players and their distance from exact effectiveness. Our theorems are based on a new notion of partition-balanced profiles and approximately partition-balanced profiles. The results are applied to a new model of an economy with clubs. In contrast to the extant literature, our approach allows both widespread externalities and uniform results. A fundamental new mathematical result, the partition-balancing effect of large numbers, which promises to have further applications, is contained in Appendix A. (C) 2003 Elsevier Science (USA). All rights reserved.
|Item Type:||Journal Article|
|Subjects:||H Social Sciences > HC Economic History and Conditions|
|Divisions:||Faculty of Social Sciences > Economics|
|Journal or Publication Title:||Journal of Economic Theory|
|Official Date:||May 2003|
|Number of Pages:||34|
|Page Range:||pp. 87-120|
|Access rights to Published version:||Restricted or Subscription Access|
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