Equilibria in vector lattices without ordered preferences or uniform properness

Article Abstract:

A non-uniform model for formulating a properness notion that works without limitations can be utilized to extend the Mas-Colell equilibrium existence to non-ordered preferences. A quasi-equilibrium for the restriction of an economy that is suitable for aggregate endowment can be evaluated by using standard arguments. The commodity spaces of the Mas-Colell equilibrium also shows that an allocation of a non-trivial quasi-equilibrium with a discontinuous price system is sustainable. This condition is a consequence of properness conditions.

Research and Development in the Physical, Engineering, and Life Sciences, Mathematics, Riesz spaces

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Continuous Nash equilibria

Article Abstract:

A model based on lower argmax topology was used to prove the existence of continuos Nash equilibria in continuos games. By analyzing the lower and higher correspondence of the argmax topology and representing them as payoff functions, it was concluded that players with identical characteristics in an equilibrium tend to choose similar actions. Technical and conceptual issues in non-cooperative games were also analyzed using the model.

Topology, Games of strategy (Mathematics)

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Housing market short-term equilibrium maximising linear utility functions

Article Abstract:

Swedish data are used to analyze the housing market. Short-term equilibria and utility functions are analyzed, and Pareto-maximal points are located.

Economic aspects, Housing

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