{'fraction_non_alphanumeric': 0.024886877828054297, 'fraction_numerical': 0.0, 'mean_word_length': 4.5375, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
On Nash Equilibrium of the Abstract Economy or Generalized Game in H-Spaces

The purpose of this paper is to introduce the H-space and to establish a theorem for the Nash equilibrium of a generalized game (or an abstract economy). The result presented in this paper, modify and extend the corresponding results given in the literatures, so that this new theorem are applied to the equilibrium problems of the game (or the economy) in H-space.