Showing 1 - 10 of 88
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...
Persistent link: https://www.econbiz.de/10011343323
existence and uniqueness of Markovian equilibrium are weIl known for the compact state space case, no similar sufficient … algorithm that will prove asymptotically consistent when computing Markovian equilibrium. …
Persistent link: https://www.econbiz.de/10011327537
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 there exists a constrained equilibrium satisfying the usual …
Persistent link: https://www.econbiz.de/10011325664
well known refinements of the Nash equilibrium, namely, perfect Nash equilibrium and proper Nash equilibrium, are special … Nash equilibrium is shown to exist for every game. In symmetric bimatrix games, our results imply the existence of a … 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
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
function itself. We apply the main existence result to prove the existence of a pure Cournot-Nash equilibrium in a Cournot …
Persistent link: https://www.econbiz.de/10011378347
Persistent link: https://www.econbiz.de/10011337990
In this paper we present two general results on the existence of a discrete zero point of a function from the n-dimensional integer lattice Zn to the n-dimensional Euclidean space Rn. Under two different boundary conditions, we give a constructive proof using a combinatorial argument based on a...
Persistent link: https://www.econbiz.de/10011346458
Any function from a non-empty polytope into itself that is locally gross direction preserving is shown to have the fixed point property. Brouwer's fixed point theorem for continuous functions is a special case. We discuss the application of the result in the area of non-cooperative game theory.
Persistent link: https://www.econbiz.de/10011342557
We examine the effect of railway travel on urban spatial structure in a polycentric urban land use model. We focus on the role of access to the railway network. We find that if the number of train stations is limited, the degree of urbanization is higher around train stations, but the effect of...
Persistent link: https://www.econbiz.de/10010348424