Lucas, W. F. Some recent developments in \(n\)-person game theory. (English) Zbl 0229.90055 SIAM Rev. 13, 491-523 (1971). Summary: A general survey of the mathematical theory of games is presented with particular emphasis on recent developments in the theory of the core and stable sets (solutions) for the multi-person cooperative games in characteristic function form. Extensions to games without side payments, games with infinitely many players, and games in partition function form are mentioned. The history leading up to the discovery of a ten-person game with no stable set is reviewed. The equilibrium theory for noncooperative games in normal form as well as some additional cooperative solution concepts are covered very briefly. Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 10 Documents MSC: 91A06 \(n\)-person games, \(n>2\) 91-02 Research exposition (monographs, survey articles) pertaining to game theory, economics, and finance 91A12 Cooperative games 91A07 Games with infinitely many players 91A10 Noncooperative games PDF BibTeX XML Cite \textit{W. F. Lucas}, SIAM Rev. 13, 491--523 (1971; Zbl 0229.90055) Full Text: DOI OpenURL