On Existence of alpha-Core Solutions for Games with Finite or Infinite Players
Theoretical Economics
2023-02-01 v3
Abstract
This gives two existence results of alpha-core solutions by introducing P-open conditions and strong P-open conditions into games without ordered preferences. The existence of alpha-core solutions is obtained for games with infinite-players. Secondly, it provides a short proof of Kajii's (Journal of Economic Theory 56, 194-205, 1992) existence theorem for alpha-core solutions, further, the Kajii's theorem is equivalent to the Browder fixed point theorem. In addition, the obtained existence results can include many typical results for alpha-core solutions and some recent existence results as special cases.
Keywords
Cite
@article{arxiv.2211.03112,
title = {On Existence of alpha-Core Solutions for Games with Finite or Infinite Players},
author = {Qi-Qing Song and Min Guo},
journal= {arXiv preprint arXiv:2211.03112},
year = {2023}
}
Comments
some errors occur in section 3