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This paper investigates the implementation and performance of a decentralized information transmission mechanism in game with complete or incomplete games. We propose a mechanism that realizes irrational correlated equilibria or irrational…

Theoretical Economics · Economics 2025-11-12 Shitong Wang

I present a simple two-party quantum communication complexity protocol with higher success rate than the best possible classical protocol for the same task. The quantum protocol is shown to be equivalent to a quantum non-locality test,…

Quantum Physics · Physics 2007-05-23 Ernesto F. Galvao

We present a protocol that transforms any quantum multi-prover interactive proof into a nonlocal game in which questions consist of logarithmic number of bits and answers of constant number of bits. As a corollary, this proves that the…

Quantum Physics · Physics 2016-10-12 Zhengfeng Ji

This work initiates an analysis of several cryptographic protocols from a rational point of view using a game-theoretical approach, which allows us to represent not only the protocols but also possible misbehaviours of parties. Concretely,…

Cryptography and Security · Computer Science 2015-03-17 P. Caballero-Gil , C. Hernández-Goya , C. Bruno-Castañeda

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

The process of state preparation, its transmission and subsequent measurement can be classically simulated through the communication of some amount of classical information. Recently, we proved that the minimal communication cost is the…

Quantum Physics · Physics 2014-01-17 Alberto Montina , Stefan Wolf

We consider preference communication in two-player multi-objective normal-form games. In such games, the payoffs resulting from joint actions are vector-valued. Taking a utility-based approach, we assume there exists a utility function for…

Computer Science and Game Theory · Computer Science 2022-06-13 Willem Röpke , Diederik M. Roijers , Ann Nowé , Roxana Rădulescu

We establish approximate rigidity results for several well-known families of nonlocal games. In particular, we show that near-perfect quantum strategies for boolean constraint system (BCS) games are approximate representations of the…

Quantum Physics · Physics 2025-09-19 Connor Paddock

We propose an efficient protocol for secure comparison of integers when both integers are shared between two parties. Such protocols are useful for implementing secure auctions. The proposed protocol's computational complexity is roughly…

Cryptography and Security · Computer Science 2012-04-16 Rajendra S. Katti , Cristinel Ababei

Box-simplex games are a family of bilinear minimax objectives which encapsulate graph-structured problems such as maximum flow [She17], optimal transport [JST19], and bipartite matching [AJJ+22]. We develop efficient near-linear time,…

Data Structures and Algorithms · Computer Science 2022-06-15 Arun Jambulapati , Yujia Jin , Aaron Sidford , Kevin Tian

Non-local boxes are hypothetical ``machines'' that give rise to superstrong non-local correlations, leading to a stronger violation of Bell/CHSH inequalities than is possible within the framework of quantum mechanics. We show how non-local…

Quantum Physics · Physics 2007-05-23 Harry Buhrman , Matthias Christandl , Falk Unger , Stephanie Wehner , Andreas Winter

We study the round and communication complexities of various cryptographic protocols. We give tight lower bounds on the round and communication complexities of any fully black-box reduction of a statistically hiding commitment scheme from…

Cryptography and Security · Computer Science 2021-05-05 Iftach Haitner , Jonathan J. Hoch , Omer Reingold , Gil Segev

Deterministic and probabilistic communication protocols are introduced in which parties can exchange the values of polynomials (rather than bits in the usual setting). It is established a sharp lower bound $2n$ on the communication…

Computational Complexity · Computer Science 2007-10-16 Dima Grigoriev

The *algebrization barrier*, proposed by Aaronson and Wigderson (STOC '08, ToCT '09), captures the limitations of many complexity-theoretic techniques based on arithmetization. Notably, several circuit lower bounds that overcome the…

Computational Complexity · Computer Science 2025-11-19 Lijie Chen , Yang Hu , Hanlin Ren

Towards better understanding of gate elimination, the only method known that can prove complexity lower bounds for explicit functions against unrestricted Boolean circuits, this work contributes: (1) formalizing circuit simplifications as a…

Computational Complexity · Computer Science 2026-02-23 Marco Carmosino , Ngu Dang , Tim Jackman

Often -- for example in war games, strategy video games, and financial simulations -- the game is given to us only as a black-box simulator in which we can play it. In these settings, since the game may have unknown nature action…

Computer Science and Game Theory · Computer Science 2021-03-18 Brian Hu Zhang , Tuomas Sandholm

Any interactive protocol between a pair of parties can be reliably simulated in the presence of noise with a multiplicative overhead on the number of rounds (Schulman 1996). The reciprocal of the best (least) overhead is called the…

Information Theory · Computer Science 2024-04-19 Mudit Aggarwal , Manuj Mukherjee

We consider a class of nonlocal games that are related to binary constraint systems (BCSs) in a manner similar to the games implicit in the work of Mermin [N.D. Mermin, "Simple unified form for the major no-hidden-variables theorems," Phys.…

Quantum Physics · Physics 2013-10-17 Richard Cleve , Rajat Mittal

We suggest two new methodologies for the design of efficient secure protocols, that differ with respect to their underlying computational models. In one methodology we utilize the communication complexity tree (or branching for f and…

Cryptography and Security · Computer Science 2007-05-23 Moni Naor , Kobbi Nissim

A theory is universal contextual if its prediction cannot be reproduced by an ontological model satisfying both preparation and measurement noncontextuality assumptions. In this report, we first generalize the logical proofs of quantum…

Quantum Physics · Physics 2019-12-24 A. K. Pan
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