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Decisions in organizations are about evaluating alternatives and choosing the one that would best serve organizational goals. To the extent that the evaluation of alternatives could be formulated as a predictive task with appropriate…

Human-Computer Interaction · Computer Science 2022-06-30 Charles Wan , Rodrigo Belo , Leid Zejnilović

We define a Causal Decision Problem as a Decision Problem where the available actions, the family of uncertain events and the set of outcomes are related through the variables of a Causal Graphical Model $\mathcal{G}$. A solution criteria…

Artificial Intelligence · Computer Science 2019-02-07 M. Gonzalez-Soto , L. E. Sucar , H. J. Escalante

As we know, there is a controversy about the decision making under risk between economists and psychologists. We discuss to build a unified theory of risky choice, which would explain both of compensatory and non-compensatory theories. For…

Economics · Quantitative Finance 2017-03-24 Lamb Wubin , Naixin Ren

This position paper argues that LLMs should not yet be credited with decision explanation. This matters because recent work increasingly treats accurate behavioral prediction, plausible rationales, and outcome-conditioned reasoning traces…

Artificial Intelligence · Computer Science 2026-05-05 Wenshuo Wang

It is well-known that Choice and Regularity are independent of each other but have important common consequences of logical character (reflection principles, representations of classes by sets, etc.). We explain this phenomenon by isolating…

Logic · Mathematics 2007-09-20 Denis I. Saveliev

This paper motivates the study of decision theory as necessary for aligning smarter-than-human artificial systems with human interests. We discuss the shortcomings of two standard formulations of decision theory, and demonstrate that they…

Artificial Intelligence · Computer Science 2015-07-09 Nate Soares , Benja Fallenstein

The increasing incorporation of Artificial Intelligence in the form of automated systems into decision-making procedures highlights not only the importance of decision theory for automated systems but also the need for these decision…

Artificial Intelligence · Computer Science 2018-08-23 Tarek R. Besold , Sara L. Uckelman

That an agent's possible evidential states form a Boolean algebra (on which it is natural to define a probability measure) is an assertion that ideally should be proved, rather than assumed, in justifying rational choice as a representation…

Statistics Theory · Mathematics 2018-03-06 Fatemeh Borhani , Edward J. Green

The ubiquity of machine learning based predictive models in modern society naturally leads people to ask how trustworthy those models are? In predictive modeling, it is quite common to induce a trade-off between accuracy and…

Machine Learning · Computer Science 2019-04-05 John Mitros , Brian Mac Namee

Binary classification models which can assign probabilities to categories such as "the tissue is 75% likely to be tumorous" or "the chemical is 25% likely to be toxic" are well understood statistically, but their utility as an input to…

Applications · Statistics 2017-12-05 Damjan Krstajic , Ljubomir Buturovic , Simon Thomas , David E Leahy

In various situations, decision makers face experts that may provide conflicting advice. This advice may be in the form of probabilistic forecasts over critical future events. We consider a setting where the two forecasters provide their…

Theoretical Economics · Economics 2020-02-14 Itay Kavaler , Rann Smorodinsky

Dichotomy theorems, which characterize the conditions under which a problem can be solved efficiently, have helped identify important tractability borders for as probabilistic query evaluation, view maintenance, query containment (among…

Databases · Computer Science 2024-05-09 Neha Makhija

Probabilistic argumentation allows reasoning about argumentation problems in a way that is well-founded by probability theory. However, in practice, this approach can be severely limited by the fact that probabilities are defined by adding…

Artificial Intelligence · Computer Science 2019-03-07 Nico Potyka

We develop a logical framework for reasoning about knowledge and evidence in which the agent may be uncertain about how to interpret their evidence. Rather than representing an evidential state as a fixed subset of the state space, our…

Logic in Computer Science · Computer Science 2019-07-23 Adam Bjorndahl , Aybüke Özgün

We investigate joint probabilistic choice rules describing the behavior of two decision makers, each facing potentially distinct menus. These rules are separable when they can be decomposed into individual choices correlated solely through…

General Economics · Economics 2024-07-17 Nail Kashaev , Martin Plávala , Victor H. Aguiar

Two results are presented concerning the entailment problem in Separation Logic with inductively defined predicate symbols and theory reasoning. First, we show that the entailment problem is undecidable for rules with bounded tree-width, if…

Logic in Computer Science · Computer Science 2022-06-22 Mnacho Echenim , Nicolas Peltier

With the prevalence of deep learning based embedding approaches, recommender systems have become a proven and indispensable tool in various information filtering applications. However, many of them remain difficult to diagnose what aspects…

Information Retrieval · Computer Science 2021-10-29 Yao Zhou , Haonan Wang , Jingrui He , Haixun Wang

We argue that Godel's completeness theorem is equivalent to completability of consistent theories, and Godel's incompleteness theorem is equivalent to the fact that this completion is not constructive, in the sense that there are some…

Logic · Mathematics 2019-07-02 Saeed Salehi

Recently, decision trees (DT) have been used as an explainable representation of controllers (a.k.a. strategies, policies, schedulers). Although they are often very efficient and produce small and understandable controllers for discrete…

Machine Learning · Computer Science 2022-08-30 Florian Jüngermann , Jan Křetínský , Maximilian Weininger

In calculi for modelling communication protocols, internal and external choices play dual roles. Two external choices can be viewed naturally as dual too, as they represent an agreement between the communicating parties. If the interaction…

Logic in Computer Science · Computer Science 2016-02-12 Franco Barbanera , Mariangiola Dezani-Ciancaglini , Ivan Lanese , Ugo de'Liguoro