W. Briec

collaborators

Showing math.OCShow all

2 papers · 1 filter

math.OC2011

Quasi-Leontief utility functions on partially ordered sets II: Nash equilibria

Walter Briec, QiBin Liang, Charles Horvath

We prove that, under appropriate conditions, an abstract game with quasi-Leontief payoff functions $u_{i} : \prod_{j = 1}^{n} X_{j} \to R$ has a Nash equilibria. When all the payoff…

math.OC2011

Quasi-Leontief utility functions on partially ordered sets I: efficient points

Walter Briec, QiBin Liang, Charles Horvath

A function $u : X \to R$ defined on a partially ordered set is quasi-Leontief if, if for all $x \in X$ , the upper level set ${x^{'} \in X : u (x^{'}) ⩾ u (x)}$ has…