Equilibrium with fixed budgets and superlinear connections
- Authors: Rubinov, Alex , Glover, Barney
- Date: 2001
- Type: Text , Journal article
- Relation: ANZIAM Journal Vol. 42, no. 4 (2001), p. 462-480
- Full Text: false
- Reviewed:
- Description: We study models of economic equilibrium with fixed budgets and assuming superlinear connections between consumption and production. Extremal problems and the existence of equilibria are discussed for such models along with some related differential properties. Examples to illustrate the broad nature of the model are discussed. © Australian Mathematical Society 2001.
Extended Lagrange and penalty functions in optimization
- Authors: Rubinov, Alex , Yang, Xiao , Glover, Barney
- Date: 2001
- Type: Text , Journal article
- Relation: Journal of Optimization Theory and Applications Vol. 111, no. 2 (Nov 2001), p. 381-405
- Full Text: false
- Reviewed:
- Description: We consider nonlinear Lagrange and penalty functions for optimization problems with a single constraint. The convolution of the objective function and the constraint is accomplished by an increasing positively homogeneous of the first degree function. We study necessary and also sufficient conditions for the validity of the zero duality gap property for both Lagrange and penalty functions and for the exact penalization. We also study the so-called regular weak separation functions.