Fixed point theorems for correspondences with values in a partially ordered set and extended supermodular games

Article Abstract:

Fixed point theorems for correspondences with values in partially ordered sets are proposed. The theorems generalize the fixed point theorem introduced by Knaster (1928) and Tarski (1955). They prove the existence of a Nash equilibrium for extended supermodular games. The theorems also help show that any non-decreasing correspondence has a fixed point if the partially ordered set has a bottom element.

Analysis, Fixed point theory, Ordered sets

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Ranking sealed high-bid and open asymmetric auctions

Article Abstract:

The properties of a linear asymmetric auction model used in order to rank revenues of auctions are analyzed.

United States, Retail Trade, Methods, Economic aspects, Retail industry, Sales forecasting, Linear models (Statistics)

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Characterization of an extended Walrasian concept for open economies

Article Abstract:

An extended Walrasian concept is extended for open economies.

Walrasian model

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