On the non-emptiness of the core of a coalitional production economy without ordered preferences

DOI10.1016/0022-247X(89)90192-3zbMath0684.90010OpenAlexW2061577217MaRDI QIDQ1825736

Monique Florenzano

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(89)90192-3

zbMATH Keywords

fixed-point theoremnon-ordered preferencebalanced economycoalitional production economyCore nonemptiness theoremsHausdorff linear topological space

Mathematics Subject Classification ID

Cooperative games (91A12) Production theory, theory of the firm (91B38) General equilibrium theory (91B50)

Related Items (18)

A weak \(\alpha\)-core existence theorem of generalized games with infinitely many players and pseudo-utilities ⋮ An elementary proof of the Knaster-Kuratowski-Mazurkiewicz-Shapley theorem ⋮ Revisiting the Coase theorem ⋮ A note on the representation of preferences ⋮ A social coalitional weak equilibrium existence theorem with a continuum of agents and applications ⋮ Non-emptiness of the fuzzy core in a finite production economy with infinite-dimensional commodity space ⋮ The weak hybrid equilibria of an exchange economy with a continuum of agents and externalities ⋮ Core and equilibria under ambiguity ⋮ The weak \(\alpha\)-core of exchange economies with a continuum of players and pseudo-utilities ⋮ Existence of Edgeworth and competitive equilibria and fuzzy cores in coalition production economies ⋮ A generalization of Scarf's theorem: An \(\alpha\)-core existence theorem without transitivity or completeness ⋮ Payoff-dependent balancedness and cores ⋮ Some generalizations of Kajii's theorem to games with infinitely many players ⋮ A weak \(\alpha \)-core existence theorem of games with nonordered preferences and a continuum of agents ⋮ Edgeworth equilibria, fuzzy core, and equilibria of a production economy without ordered preferences ⋮ Some generalizations of Zhao's theorem: hybrid solutions and weak hybrid solutions for games with nonordered preferences ⋮ On the existence of a fuzzy core in an exchange economy ⋮ On contractual approach for non-convex production economies

Cites Work

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• A generalization of Tychonoff's fixed point theorem
• An economy with infinite dimensional commodity space and empty core
• Edgeworth equilibria in production economies
• Corrections to an equilibrium existence theorem for a general model without ordered preferences
• On the Knaster-Kuratowski-Mazurkiewicz-Shapley theorem
• Equilibrium in abstract economies without ordered preferences
• An equilibrium existence theorem for a general model without ordered preferences
• Existence of equilibrium actions and of equilibrium. A note on the 'new' existence theorems
• A Core Existence Theorem for Games Without Ordered Preferences
• The Core of an Economy with Production
• The Core of an N Person Game

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