Existence of Walrasian equilibria with discontinuous, non-ordered, interdependent and price-dependent preferences

W He, NC Yannelis - Economic Theory, 2016 - Springer
We generalize the classical equilibrium existence theorems by dispensing with the
assumption of continuity of preferences. Our new existence results allow us to dispense with …

On the existence of Nash equilibrium in discontinuous games

R Nessah, G Tian - Economic Theory, 2016 - Springer
This paper offers an equilibrium existence theorem in discontinuous games. We introduce a
new notion of very weak continuity, called quasi-weak transfer continuity that guarantees the …

Walrasian equilibrium theory with and without free-disposal: theorems and counterexamples in an infinite-agent context

RM Anderson, H Duanmu, MA Khan, M Uyanik - Economic Theory, 2022 - Springer
This paper provides four theorems on the existence of a free-disposal equilibrium in a
Walrasian economy: the first with an arbitrary set of agents with compact consumption sets …

Fuzzy Kakutani-Fan-Glicksberg fixed point theorem and existence of Nash equilibria for fuzzy games

J Liu, G Yu - Fuzzy Sets and Systems, 2022 - Elsevier
In this paper, we give fuzzy generalizations to the well-known Brouwer fixed point theorem
and Kakutani-Fan-Glicksberg fixed point theorem. As applications, we apply the fuzzy …

On equilibria in constrained generalized games with the weak continuous inclusion property

MA Khan, RP McLean, M Uyanik - Journal of Mathematical Analysis and …, 2024 - Elsevier
In this paper, we present results that use Himmelberg's fixed point theorem to highlight
substantive trade-offs between compactness, continuity and convexity postulates in the …

On constrained generalized games with action sets in non-locally-convex and non-Hausdorff topological vector spaces

MA Khan, RP McLean, M Uyanik - Journal of Mathematical Economics, 2024 - Elsevier
This paper presents results on the existence of an equilibrium in the context of a typology
consisting of qualitative, generalized and constrained generalized normal form games with …

Existence of Walrasian equilibria with discontinuous, non-ordered, interdependent and price-dependent preferences, without free disposal, and without compact …

K Podczeck, NC Yannelis - Economic Theory, 2022 - Springer
We extend a result on existence of Walrasian equilibria in He and Yannelis (Econ Theory
61: 497–513, 2016) by replacing the compactness assumption on consumption sets made …

Equilibria in abstract economies with a continuum of agents with discontinuous and non-ordered preferences

A Bhowmik, NC Yannelis - Journal of mathematical economics, 2024 - Elsevier
This paper focus on the problem of the existence of an equilibrium in abstract economies
and exchange economies. Spanning over the literature we have managed to extend and …

On abstract economies with an arbitrary set of players and action sets in locally-convex topological vector spaces

RM Anderson, H Duanmu, MA Khan… - Journal of Mathematical …, 2022 - Elsevier
In this paper we show the existence of equilibrium in an abstract economy with an arbitrary
set of players, each of whose compact convex action sets lie in different locally convex …

Majorized correspondences and equilibrium existence in discontinuous games

P Prokopovych - Economic Theory, 2016 - Springer
This paper is aimed at widening the scope of applications of majorized correspondences. A
new class of majorized correspondences—domain U U-majorized correspondences—is …