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Related papers: Complexity Results of Persuasion

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We study statistical properties of an NP-complete problem, the subset sum, using the methods and concepts of statistical mechanics. The problem is a generalization of the number partitioning problem, which is also an NP-complete problem and…

Statistical Mechanics · Physics 2007-05-23 T. Sasamoto , T. Toyoizumi , H. Nishimori

We give a complete complexity classification for the problem of finding a solution to a given system of equations over a fixed finite monoid, given that a solution over a more restricted monoid exists. As a corollary, we obtain a complexity…

Computational Complexity · Computer Science 2025-03-04 Alberto Larrauri , Stanislav Živný

We propose a model of causal persuasion, in which a sender selectively discloses a set of variables together with their true joint distribution and proposes a subjective causal model that binds them. A receiver is persuaded by this model…

Theoretical Economics · Economics 2026-05-04 Anastasia Burkovskaya , Egor Starkov

We show that P2T - the problem of deciding whether the edge set of a simple graph can be partitioned into two trees or not - is NP-complete.

Computational Complexity · Computer Science 2010-02-23 Domotor Palvolgyi

An attempt of a new kind of complexity anthropology is considered.

Other Computer Science · Computer Science 2009-04-21 Michael A. Popov

We show that the minimization of visibly pushdown automata is NP-complete. This result is obtained by introducing immersions, that recognize multiple languages (over a usual, non-visible alphabet) using a common deterministic transition…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Olivier Gauwin , Anca Muscholl , Michael Raskin

We define and study the model of patterned non-determinism in bipartite communication complexity, denoted by $PNP^{X\leftrightarrow Y}$. It generalises the known models $UP^{X\leftrightarrow Y}$ and $FewP^{X\leftrightarrow Y}$ through…

Computational Complexity · Computer Science 2023-11-07 Dmytro Gavinsky

For formulas of the Implicational Propositional Calculus (IPC) that are theorems of the classical Propositional Calculus (PC) we show that PC proofs yield IPC proofs. As a consequence, completeness of PC yields completeness of IPC.

Logic · Mathematics 2016-02-09 P. L. Robinson

We provide a lower complexity bound for the satisfiability problem of a multi-agent justification logic, establishing that the general NEXP upper bound from our previous work is tight. We then use a simple modification of the corresponding…

Logic in Computer Science · Computer Science 2015-03-03 Antonis Achilleos

We prove the explicit formula for the probability of a run of r successes in n trials.

Probability · Mathematics 2007-05-23 Mark B. Villarino

The Promise Constraint Satisfaction Problem (PCSP) is a generalization of the Constraint Satisfaction Problem (CSP) that includes approximation variants of satisfiability and graph coloring problems. Barto [LICS '19] has shown that a…

Computational Complexity · Computer Science 2025-06-09 Kristina Asimi , Libor Barto

We show that the higher-order matching problem is decidable using a game-theoretic argument.

Logic in Computer Science · Computer Science 2015-07-01 Colin Stirling

In phylogenetics, the consensus problem consists in summarizing a set of phylogenetic trees that all classify the same set of species into a single tree. Several definitions of consensus exist in the literature; in this paper we focus on…

Data Structures and Algorithms · Computer Science 2017-05-12 Manuel Lafond , Céline Scornavacca

This application for learning APPROXIMATION ALGORITHM has been designed in Java which will make user comfortable in learning the very complex subject "NP-Completeness" and the solution to NP-Complete problem using approximation algorithm.

Data Structures and Algorithms · Computer Science 2014-01-13 Chiranjeev Kumar

A sender commits to an experiment to persuade a receiver. Accounting for the sender's experiment-choice incentives, and not presupposing a receiver tie-breaking rule when indifferent, we characterize when the sender's equilibrium payoff is…

Theoretical Economics · Economics 2024-02-13 Elliot Lipnowski , Doron Ravid , Denis Shishkin

Negotiations, a model of concurrency with multi party negotiation as primitive, have been recently introduced in arXiv:1307.2145, arXiv:1403.4958. We initiate the study of games for this model. We study coalition problems: can a given…

Logic in Computer Science · Computer Science 2015-07-30 Javier Esparza , Philipp Hoffmann

We demonstrate a polynomial approach to express the decision version of the directed Hamiltonian Cycle Problem (HCP), which is NP-Complete, as the Solvability of a Polynomial Equation with a constant number of variables, within a bounded…

Computational Complexity · Computer Science 2011-11-10 Deepak Chermakani

We study the problem of assessing the robustness of counterfactual explanations for deep learning models. We focus on $\textit{plausible model shifts}$ altering model parameters and propose a novel framework to reason about the robustness…

Machine Learning · Computer Science 2024-07-11 Luca Marzari , Francesco Leofante , Ferdinando Cicalese , Alessandro Farinelli

Using the notion of visibility representations, our paper establishes a new property of instances of the Nondeterministic Constraint Logic (NCL) problem (a PSPACE-complete problem that is very convenient to prove the PSPACE-hardness of…

Computational Complexity · Computer Science 2023-04-27 Michael C. Chavrimootoo

We prove a complexity dichotomy theorem for the six-vertex model. For every setting of the parameters of the model, we prove that computing the partition function is either solvable in polynomial time or #P-hard. The dichotomy criterion is…

Computational Complexity · Computer Science 2017-03-31 Jin-Yi Cai , Zhiguo Fu , Mingji Xia