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Solving discrete systems of nonlinear equations
Laan, Gerard van der; Talman, Dolf; Yang, Zaifu - 2009
prove this we use a simplicial algorithm that terminates with a zero point within a finite number of iterations. The …
Persistent link: https://www.econbiz.de/10011378347
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Computing integral solutions of complementarity problems
Laan, Gerard van der; Talman, Dolf; Yang, Zaifu - 2004
In this paper an algorithm is proposed to find an integral solution of (nonlinear) complementarity problems. The … algorithm starts with a nonnegative integral point and generates a unique sequence of adjacent integral simplices of varying … dimension. Conditions are stated under which the algorithm terminates with a simplex one of whose vertices is an integral …
Persistent link: https://www.econbiz.de/10011343323
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Combinatorial integer labeling theorems on finite sets with an application to discrete systems of nonlinear equations
Laan, Gerard van der; Talman, Dolf; Yang, Zaifu - 2007
Tucker's well-known combinatorial lemma states that for any given symmetric triangulation of the n-dimensional unit cube and for any integer labeling that assigns to each vertex of the triangulation a label from the set {1,2,...n,-1,-2,....-n} with the property that antipodal vertices on the...
Persistent link: https://www.econbiz.de/10011373836
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Solving discrete zero point problems
Laan, Gerard van der; Talman, Dolf; Yang, Zaifu - 2004
Persistent link: https://www.econbiz.de/10011337990
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Solving discrete zero point problems with vector labeling
Laan, Gerard van der; Talman, Dolf; Yang, Zaifu - 2005
proof using a combinatorial argument based on a simplicial algorithm with vector labeling and lexicographic linear … programming pivot steps. We also adept the algorithm to prove the existence of a solution to the discrete complementarity problem. …
Persistent link: https://www.econbiz.de/10011346458
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Solving discrete systems of nonlinear equations
Laan, Gerard van der; Talman, Dolf; Yang, Zaifu - 2009
Persistent link: https://www.econbiz.de/10003861027
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Perfection and stability of stationary points with applications to noncooperative games
Laan, Gerard van der; Talman, Dolf; Yang, Zaifu - 2002
converges to X in a continuous way.We also discuss several applications in noncooperative game theory. We first show that two … symmetric proper equilibrium. Applying our results to the field of evolutionary game theory yields a refinement of the …
Persistent link: https://www.econbiz.de/10011327822
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Market power in water markets
Ansink, Erik; Houba, Harold - 2011 - This version: May 2011
Water markets with market power are analysed as multi-market Cournot competition in which the river structure constrains access to local markets and limited resources impose capacity constraints. Conditions for uniqueness are identified. Lerner indices are larger under binding resource...
Persistent link: https://www.econbiz.de/10011380731
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Alternating offers in economic environments
Houba, Harold - 2005
The Nash bargaining solution of a modified bargaining problem in the contract space yields the pair of stationary subgame perfect equilibrium proposals in the alternating offers model, also for positive time between proposals. As time vanishes, convergence to the Nash bargaining solution is...
Persistent link: https://www.econbiz.de/10011343949
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Quantity constrained equilibria
Herings, Peter Jean-Jacques; Laan, Gerard van der; … - 2001
In a standard general equilibrium model it is assumed that there are no price restictionsand that prices adjust infinitely fast to their equilibrium values. In this paper the set ofadmissible prices is allowed to be an arbitrary convex set. For such an arbitrary set it cannotbe guaranteed that...
Persistent link: https://www.econbiz.de/10011325664