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We simulate behaviour of two independent reinforcement learning algorithms playing the Crawford and Sobel (1982) game of strategic information transmission. We adopt memoryless algorithms to capture learning in a static game where a large…

Theoretical Economics · Economics 2024-10-02 Daniele Condorelli , Massimiliano Furlan

We study the communication complexity of a direct sum of independent copies of the equality predicate. We prove that the probabilistic communication complexity of this problem is equal to O(N); computational complexity of the proposed…

Computational Complexity · Computer Science 2012-12-12 Vladimir Nikishkin

We study the communication complexity of truthful combinatorial auctions, and in particular the case where valuations are either subadditive or single-minded, which we denote with $\mathsf{SubAdd}\cup\mathsf{SingleM}$. We show that for…

Computer Science and Game Theory · Computer Science 2024-09-13 Shiri Ron , Clayton Thomas , S. Matthew Weinberg , Qianfan Zhang

We give a strong direct sum theorem for computing $xor \circ g$. Specifically, we show that for every function g and every $k\geq 2$, the randomized query complexity of computing the xor of k instances of g satisfies…

Computational Complexity · Computer Science 2020-07-21 Joshua Brody , Jae Tak Kim , Peem Lerdputtipongporn , Hariharan Srinivasulu

We study distributed algorithms for some fundamental problems in data summarization. Given a communication graph $G$ of $n$ nodes each of which may hold a value initially, we focus on computing $\sum_{i=1}^N g(f_i)$, where $f_i$ is the…

Data Structures and Algorithms · Computer Science 2019-08-07 Hsin-Hao Su , Hoa T. Vu

Motivated by applications in the security of cyber-physical systems, we pose the finite blocklength communication problem in the presence of a jammer as a zero-sum game between the encoder-decoder team and the jammer, by allowing the…

Information Theory · Computer Science 2019-07-12 Anuj S. Vora , Ankur A. Kulkarni

We prove that the class of communication problems with public-coin randomized constant-cost protocols, called $BPP^0$, does not contain a complete problem. In other words, there is no randomized constant-cost problem $Q \in BPP^0$, such…

Computational Complexity · Computer Science 2024-04-02 Yuting Fang , Lianna Hambardzumyan , Nathaniel Harms , Pooya Hatami

We consider the class of functions whose value depends only on the intersection of the input X_1,X_2, ..., X_t; that is, for each F in this class there is an f_F: 2^{[n]} \to {0,1}, such that F(X_1,X_2, ..., X_t) = f_F(X_1 \cap X_2 \cap ...…

Quantum Physics · Physics 2007-05-23 Rahul Jain , Jaikumar Radhakrishnan , Pranab Sen

The most trivial way to simulate classically the communication of a quantum state is to transmit the classical description of the quantum state itself. However, this requires an infinite amount of classical communication if the simulation…

Quantum Physics · Physics 2014-01-07 Alberto Montina

Communication complexity refers to the minimum rate of public communication required for generating a maximal-rate secret key (SK) in the multiterminal source model of Csiszar and Narayan. Tyagi recently characterized this communication…

Information Theory · Computer Science 2014-01-14 Manuj Mukherjee , Navin Kashyap

In this work we are concerned with the design of efficient mechanisms while eliciting limited information from the agents. First, we study the performance of sampling approximations in facility location games. Our key result is to show that…

Computer Science and Game Theory · Computer Science 2022-08-26 Ioannis Anagnostides , Dimitris Fotakis , Panagiotis Patsilinakos

In some scenarios there are ways of conveying information with many fewer, even exponentially fewer, qubits than possible classically. Moreover, some of these methods have a very simple structure--they involve only few message exchanges…

Quantum Physics · Physics 2018-03-22 Hartmut Klauck , Ashwin Nayak , Amnon Ta-Shma , David Zuckerman

Information theoretically secure multi-party computation (MPC) is a central primitive of modern cryptography. However, relatively little is known about the communication complexity of this primitive. In this work, we develop powerful…

Cryptography and Security · Computer Science 2014-04-15 Deepesh Data , Vinod M. Prabhakaran , Manoj M. Prabhakaran

Information-theoretic methods have proven to be a very powerful tool in communication complexity, in particular giving an elegant proof of the linear lower bound for the two-party disjointness function, and tight lower bounds on…

Computational Complexity · Computer Science 2014-07-22 Troy Lee , Nikos Leonardos , Michael Saks , Fengming Wang

We establish novel connections between magic in quantum circuits and communication complexity. In particular, we show that functions computable with low magic have low communication cost. Our first result shows that the $\mathsf{D}\|$…

Quantum Physics · Physics 2025-10-09 Uma Girish , Alex May , Natalie Parham , Henry Yuen

This thesis is concerned with the design of distributed algorithms for solving optimization problems. We consider networks where each node has exclusive access to a cost function, and design algorithms that make all nodes cooperate to find…

Optimization and Control · Mathematics 2013-12-03 João F. C. Mota

We present relation problems whose input size is $n$ such that they can be solved with no communication for entanglement-assisted quantum communication models, but require $\Omega(n)$ qubit communication for $2$-way quantum communication…

Quantum Physics · Physics 2026-04-20 Atsuya Hasegawa , François Le Gall , Augusto Modanese

We consider the Nash equilibrium problem in a partial-decision information scenario. Specifically, each agent can only receive information from some neighbors via a communication network, while its cost function depends on the strategies of…

Optimization and Control · Mathematics 2021-05-07 Mattia Bianchi , Sergio Grammatico

We study the NP-hard problem of approximating a Minimum Routing Cost Spanning Tree in the message passing model with limited bandwidth (CONGEST model). In this problem one tries to find a spanning tree of a graph $G$ over $n$ nodes that…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-06 Alexandra Hochuli , Stephan Holzer , Roger Wattenhofer

In this paper, we delve into the challenge of optimizing joint communication and computation for semantic communication over wireless networks using a probability graph framework. In the considered model, the base station (BS) extracts the…

Information Theory · Computer Science 2025-04-09 Zhouxiang Zhao , Zhaohui Yang , Xu Gan , Quoc-Viet Pham , Chongwen Huang , Wei Xu , Zhaoyang Zhang