Existence of non-cooperative equilibria in social systems
Article Abstract:
Non-equilibrium social systems supported by feasibility-choice systems are discussed. Using equilibrium existence derived from Prakash and Sertel's fixed point theory, the existence of non-cooperative equilibria in social systems characterized by individuals with independently selected behavior influenced by diverse externalities is illustrated. Mathematical presentation of topological semivector spaces and some fixed point theories is presented.
Publication Name: The Journal of Mathematical Economics
Subject: Mathematics
ISSN: 0304-4068
Year: 1996
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Existence in undiscounted non-stationary non-convex multisector environments
Article Abstract:
The study discusses growth models that simultaneously included non-stationary, non-convex preferences, multisectors and undiscounted utility sums. The study reveals that there are optimal programs in such generally specified models through the non-convex duality theory to replace the bilinear functional at the origin of commodity price.
Publication Name: The Journal of Mathematical Economics
Subject: Mathematics
ISSN: 0304-4068
Year: 1997
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Existence of Equilibria with Infinitely Many Consumers and Infinitely Many Commodities
Article Abstract:
The existence of competitive equilibria in exchange economics is examined under the assumption that both consumers and commodities are infinite. The resulting model is similar to one used for finite commodities and consumers. Consumer choice is assumed but found to be non-essential.
Publication Name: The Journal of Mathematical Economics
Subject: Mathematics
ISSN: 0304-4068
Year: 1983
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