Some generalizations of Kajii's theorem to games with infinitely many players

DOI10.1016/j.jmateco.2018.04.004zbMath1388.91039OpenAlexW2797969282MaRDI QIDQ1748379

Xianqiang Yang

Publication date: 9 May 2018

Published in: Journal of Mathematical Economics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmateco.2018.04.004

zbMATH Keywords

existenceinfinitely many playersfinite-coalition \(\alpha\)-coreweak \(\alpha\)-core

Mathematics Subject Classification ID

Cooperative games (91A12) Games involving topology, set theory, or logic (91A44) Games with infinitely many players (91A07)

Related Items (14)

A weak \(\alpha\)-core existence theorem of generalized games with infinitely many players and pseudo-utilities ⋮ On the strong hybrid solution of an n-person game ⋮ A social coalitional weak equilibrium existence theorem with a continuum of agents and applications ⋮ The weak hybrid equilibria of an exchange economy with a continuum of agents and externalities ⋮ Unnamed Item ⋮ The weak \(\alpha\)-core of exchange economies with a continuum of players and pseudo-utilities ⋮ Existence of weakly cooperative equilibria for infinite-leader-infinite-follower games ⋮ A weak \(\alpha \)-core existence theorem of games with nonordered preferences and a continuum of agents ⋮ A coalitional extension of generalized fuzzy games ⋮ Competitive equilibria and benefit distributions of population production economies with external increasing returns ⋮ A unified approach to the Nash equilibrium existence in large games from finitely many players to infinitely many players ⋮ NTU core, TU core and strong equilibria of coalitional population games with infinitely many pure strategies ⋮ Essential stability of cooperative equilibria for population games ⋮ Some generalizations of Zhao's theorem: hybrid solutions and weak hybrid solutions for games with nonordered preferences

Cites Work

• Unnamed Item
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• On the core of normal form games with a continuum of players
• Alpha cores of games with nonatomic asymmetric information
• On the non-emptiness of the core of a coalitional production economy without ordered preferences
• The nonemptiness of the \(f\)-core of a game without side payments
• The \textit{ex ante} \(\alpha\)-core for normal form games with uncertainty
• An interim core for normal form games and exchange economies with incomplete information
• The Core of a Cooperative Game Without Side Payments
• A Core Existence Theorem for Games Without Ordered Preferences
• Existence of Approximate Equilibria and Cores
• Approximate Cores of Large Games

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