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Various structured argumentation frameworks utilize preferences as part of their standard inference procedure to enable reasoning with preferences. In this paper, we consider an inverse of the standard reasoning problem, seeking to identify…

Artificial Intelligence · Computer Science 2020-05-13 Quratul-ain Mahesar , Nir Oren , Wamberto W. Vasconcelos

Game contingent claims (GCCs) generalize American contingent claims by allowing the writer to recall the option as long as it is not exercised, at the price of paying some penalty. In incomplete markets, an appealing approach is to analyze…

Probability · Mathematics 2018-11-27 Klebert Kentia , Christoph Kühn

Leveraging an established exercise in negotiation education, we build a novel dataset for studying how the use of language shapes bilateral bargaining. Our dataset extends existing work in two ways: 1) we recruit participants via behavioral…

Computation and Language · Computer Science 2024-04-17 Mourad Heddaya , Solomon Dworkin , Chenhao Tan , Rob Voigt , Alexander Zentefis

We define a logic of propositional formula schemata adding to the syntax of propositional logic indexed propositions and iterated connectives ranging over intervals parameterized by arithmetic variables. The satisfiability problem is shown…

Logic in Computer Science · Computer Science 2014-01-17 Vincent Aravantinos , Ricardo Caferra , Nicolas Peltier

A gradual semantics takes a weighted argumentation framework as input and outputs a final acceptability degree for each argument, with different semantics performing the computation in different manners. In this work, we consider the…

Artificial Intelligence · Computer Science 2023-02-09 Nir Oren , Bruno Yun

We study situations where a group of voters need to take a collective decision over a number of public issues, with the goal of getting a result that reflects the voters' opinions in a proportional manner. Our focus is on interconnected…

Computer Science and Game Theory · Computer Science 2025-09-25 Julian Chingoma , Umberto Grandi , Arianna Novaro

Repeated interaction promotes cooperation among rational individuals under the shadow of future, but it is hard to maintain cooperation when a large number of error-prone individuals are involved. One way to construct a cooperative Nash…

Physics and Society · Physics 2021-01-25 Yohsuke Murase , Seung Ki Baek

In this paper, we formulate an evolutionary multiple access channel game with continuous-variable actions and coupled rate constraints. We characterize Nash equilibria of the game and show that the pure Nash equilibria are Pareto optimal…

Computer Science and Game Theory · Computer Science 2011-03-15 Quanyan Zhu , Hamidou Tembine , Tamer Basar

Evidential cooperation in large worlds (ECL) refers to the idea that humans and other agents can benefit by cooperating with similar agents with differing values in causally disconnected parts of a large universe. Cooperating provides…

General Economics · Economics 2023-08-10 Johannes Treutlein

This paper gives a map from the set of families of arcs on a variety to the set of valuations on the rational function field of the variety We characterize a family of arcs which corresponds to a divisorial valuation by this map. We can see…

Algebraic Geometry · Mathematics 2007-05-23 Shihoko Ishii

Any individual's preference represents his choice in the set of available options. It is said to be complete if the person can compare any pair of available options. We aim to initiate the notion of projected solutions for the generalized…

Optimization and Control · Mathematics 2023-05-15 Asrifa Sultana , Shivani Valecha

Algorithmic recourse seeks to provide actionable recommendations for individuals to overcome unfavorable classification outcomes from automated decision-making systems. Recourse recommendations should ideally be robust to reasonably small…

Machine Learning · Computer Science 2022-06-14 Ricardo Dominguez-Olmedo , Amir-Hossein Karimi , Bernhard Schölkopf

We propose Neural Reasoner, a framework for neural network-based reasoning over natural language sentences. Given a question, Neural Reasoner can infer over multiple supporting facts and find an answer to the question in specific forms.…

Artificial Intelligence · Computer Science 2015-08-25 Baolin Peng , Zhengdong Lu , Hang Li , Kam-Fai Wong

Background & Objectives: In the last decade, Machine learning research has grown rapidly, but large models are reaching their soft limits demonstrating diminishing returns and still lack solid reasoning abilities. These limits could be…

Artificial Intelligence · Computer Science 2026-04-30 Ioannis Konstantoulas , Dimosthenis Tsimas , Pavlos Peppas , Kyriakos Sgarbas

Economic theory has provided an estimable intuition in understanding the perplexing ideologies in law, in the areas of economic law, tort law, contract law, procedural law and many others. Most legal systems require the parties involved in…

Theoretical Economics · Economics 2021-04-02 Kwadwo Osei Bonsu , Shoucan Chen

The term rational has become synonymous with maximizing expected payoff in the definition of the best response in Nash setting. In this work, we consider stochastic games in which players engage only once, or at most a limited number of…

Computer Science and Game Theory · Computer Science 2020-02-21 Ali Yekkehkhany , Timothy Murray , Rakesh Nagi

We introduce a new methodology that enables detection of the onset of convergence towards Nash equilibria in simple repeated games with infinitely large strategy spaces, thereby revealing the heuristics used in decision-making. The method…

General Finance · Quantitative Finance 2020-05-06 Jørgen Vitting Andersen , Philippe de Peretti

In 1953, Kuhn showed that every sequential game has a Nash equilibrium by showing that a procedure, named ``backward induction'' in game theory, yields a Nash equilibrium. It actually yields Nash equilibria that define a proper subclass of…

Discrete Mathematics · Computer Science 2007-05-24 Stéphane Le Roux

The question about fair income inequality has been an important open question in economics and in political philosophy for over two centuries with only qualitative answers such as the ones suggested by Rawls, Nozick, and Dworkin. We…

General Economics · Economics 2018-07-23 Venkat Venkatasubramanian , Yu Luo

A fundamental problem with the Nash equilibrium concept is the existence of certain "structurally deficient" equilibria that (i) lack fundamental robustness properties, and (ii) are difficult to analyze. The notion of a "regular" Nash…

Optimization and Control · Mathematics 2019-07-31 Brian Swenson , Ryan Murray , Soummya Kar