Hausdorff continuous interval functions and approximations
R Anguelov, S Markov - … , SCAN 2014, Würzburg, Germany, September 21 …, 2016 - Springer
The set of interval Hausdorff continuous functions constitutes the largest space preserving
basic algebraic and topological structural properties of continuous functions, such as …
basic algebraic and topological structural properties of continuous functions, such as …
Discounted stochastic games, the 3M property and stationary Markov perfect equilibria
J Fu, F Page - 2022 - eprints.lse.ac.uk
We show that all discounted stochastic games DSGs satisfying the usual assumptions have
Nash payoff selection correspondences having fixed points. Our fixed point result is …
Nash payoff selection correspondences having fixed points. Our fixed point result is …
A fixed point theorem for measurable selection valued correspondences induced by upper Caratheodory correspondences
J Fu, F Page - Journal of Fixed Point Theory and Applications, 2023 - Springer
We show that any measurable selection valued correspondence induced by the composition
of an m-tuple of real-valued Caratheodory functions with an upper Caratheodory (uC) …
of an m-tuple of real-valued Caratheodory functions with an upper Caratheodory (uC) …
Parameterized state-contingent games, 3M minimal Nash correspondences, and connectedness
J Fu, F Page - 2022 - eprints.lse.ac.uk
Under mild assumptions on primitives, we show that all parameterized state-contingent
games (PSGs) have upper Caratheodory (uC) Nash (equilibrium) correspondences which …
games (PSGs) have upper Caratheodory (uC) Nash (equilibrium) correspondences which …
Stationary markov equilibria for approximable discounted stochastic games
F Page - 2016 - eprints.lse.ac.uk
We identify a new class of uncountable-compact discounted stochastic games for which
existence of stationary Markov equilibria can be established and we prove two new …
existence of stationary Markov equilibria can be established and we prove two new …
Rational extensions of C (X) via Hausdorff continuous functions
R Anguelov - arXiv preprint arXiv:0712.0507, 2007 - arxiv.org
The ring operations and the metric on $ C (X) $ are extended to the set $\mathbb {H} _
{nf}(X) $ of all nearly finite Hausdorff continuous interval valued functions and it is shown that …
{nf}(X) $ of all nearly finite Hausdorff continuous interval valued functions and it is shown that …
A fixed point theorem for measurable-selection-valued correspondences arising in game theory
F Page - 2015 - eprints.lse.ac.uk
We establish a new fixed point result for measurable-selection-valued correspondences with
nonconvex and possibly disconnected values arising from the composition of Caratheodory …
nonconvex and possibly disconnected values arising from the composition of Caratheodory …
Parameterized games, minimal Nash correspondences, and connectedness
F Page - 2015 - eprints.lse.ac.uk
Economics and game theory are replete with examples of parameterized games. We show
that all minimal Nash payoff USCOs belonging to the Nash equilibrium correspondence of a …
that all minimal Nash payoff USCOs belonging to the Nash equilibrium correspondence of a …
[HTML][HTML] Algebraic and topological structure of some spaces of set-valued maps
R Anguelov, JH Van Der Walt - Computers & Mathematics with Applications, 2013 - Elsevier
In this paper we consider possible topological and algebraic structures on some spaces of
set-valued maps. In particular, we introduce algebraic operations on the set M (X, Y) of all …
set-valued maps. In particular, we introduce algebraic operations on the set M (X, Y) of all …
Stationary Markov equilibria for K-class discounted stochastic games
F Page - 2015 - eprints.lse.ac.uk
For a discounted stochastic game with an uncountable state space and compact metric
action spaces, we show that if the measurable-selection-valued, Nash payoff selection …
action spaces, we show that if the measurable-selection-valued, Nash payoff selection …