Sequential decision making in stochastic games with incomplete preferences over temporal objectives
AN Kulkarni, J Fu, U Topcu - arXiv preprint arXiv:2501.16291, 2025 - arxiv.org
Ensuring that AI systems make strategic decisions aligned with the specified preferences in
adversarial sequential interactions is a critical challenge for developing trustworthy AI …
adversarial sequential interactions is a critical challenge for developing trustworthy AI …
Utility representation of an incomplete and nontransitive preference relation
H Nishimura, EA Ok - Journal of Economic Theory, 2016 - Elsevier
The objective of this paper is to provide continuous utility representation theorems
analogous to Debreu's classic utility representation theorem, albeit for preference relations …
analogous to Debreu's classic utility representation theorem, albeit for preference relations …
Richter–Peleg multi-utility representations of preorders
The existence of a Richter–Peleg multi-utility representation of a preorder by means of upper
semicontinuous or continuous functions is discussed in connection with the existence of a …
semicontinuous or continuous functions is discussed in connection with the existence of a …
New trends in preference, utility, and choice: From a mono-approach to a multi-approach
A Giarlotta - New Perspectives in Multiple Criteria Decision Making …, 2019 - Springer
We give an overview of some new trends in preference modeling, utility representation, and
choice rationalization. Several recent contributions on these topics point in the same …
choice rationalization. Several recent contributions on these topics point in the same …
The classification of preordered spaces in terms of monotones: complexity and optimization
P Hack, DA Braun, S Gottwald - Theory and Decision, 2023 - Springer
The study of complexity and optimization in decision theory involves both partial and
complete characterizations of preferences over decision spaces in terms of real-valued …
complete characterizations of preferences over decision spaces in terms of real-valued …
A representation of interval orders through a bi-utility function
Y Rébillé - Journal of Mathematical Psychology, 2023 - Elsevier
The elaboration of preference relations and their representations trace their source to early
economic theory. Classical representations of preferences theorems rely on Debreu …
economic theory. Classical representations of preferences theorems rely on Debreu …
A set optimization approach to zero-sum matrix games with multi-dimensional payoffs
A new solution concept for two-player zero-sum matrix games with multi-dimensional payoffs
is introduced. It is based on extensions of the vector order in R^ d R d to order relations in …
is introduced. It is based on extensions of the vector order in R^ d R d to order relations in …
A maxmin approach for the equilibria of vector-valued games
This paper deals with the equilibria of non-cooperative games where the preferences of the
players are incomplete and can be represented by vector-valued functions. In the literature …
players are incomplete and can be represented by vector-valued functions. In the literature …
Nash Equilibrium in Games on Graphs with Incomplete Preferences
Games with incomplete preferences are an important model for studying rational decision-
making in scenarios where players face incomplete information about their preferences and …
making in scenarios where players face incomplete information about their preferences and …
On continuous multi-utility representations of semi-closed and closed preorders
G Bosi, G Herden - Mathematical Social Sciences, 2016 - Elsevier
On the basis of the classical continuous multi-utility representation theorem of Levin on
locally compact and σ-compact Hausdorff spaces, we present necessary and sufficient …
locally compact and σ-compact Hausdorff spaces, we present necessary and sufficient …