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We give elementary examples within a framework for studying decisions under uncertainty where probabilities are only roughly known. The framework, in gambling terms, is that the size of a bet is proportional to the gambler's perceived…

Probability · Mathematics 2023-12-19 David J. Aldous , F. Thomas Bruss

We study the computational complexity of the popular board game backgammon. We show that deciding whether a player can win from a given board configuration is NP-Hard, PSPACE-Hard, and EXPTIME-Hard under different settings of known and…

Computational Complexity · Computer Science 2021-12-15 R. Teal Witter

Standard game theory assumes that the structure of the game is common knowledge among players. We relax this assumption by considering extensive games where agents may be unaware of the complete structure of the game. In particular, they…

Computer Science and Game Theory · Computer Science 2007-05-23 Joseph Y. Halpern , Leandro C. Rêgo

We study quantum protocols among two distrustful parties. Under the sole assumption of correctness - guaranteeing that honest players obtain their correct outcomes - we show that every protocol implementing a non-trivial primitive…

Quantum Physics · Physics 2010-03-31 Louis Salvail , Christian Schaffner , Miroslava Sotakova

We present a two-party protocol for quantum gambling, a new task closely related to coin tossing. The protocol allows two remote parties to play a gambling game, such that in a certain limit it becomes a fair game. No unconditionally secure…

Quantum Physics · Physics 2009-01-23 Lior Goldenberg , Lev Vaidman , Stephen Wiesner

The present work consisted in developing a plateau game. There are the traditional ones (monopoly, cluedo, ect.) but those which interest us leave less place at the chance (luck) than to the strategy such that the chess game. Kallah is an…

Artificial Intelligence · Computer Science 2009-02-18 Kaninda Musumbu

Gambits are central to human decision-making. Our goal is to provide a theory of Gambits. A Gambit is a combination of psychological and technical factors designed to disrupt predictable play. Chess provides an environment to study gambits…

Theoretical Economics · Economics 2022-04-14 Shiva Maharaj , Nicholas Polson , Christian Turk

Quantum games, like quantum algorithms, exploit quantum entanglement to establish strong correlations between strategic player actions. This paper introduces quantum game-theoretic models applied to trading and demonstrates their…

Quantum Physics · Physics 2025-04-21 Faisal Shah Khan , Norbert M. Linke , Anton Trong Than , Dror Baron

In repeated interactions between individuals, we do not expect that exactly the same situation will occur from one time to another. Contrary to what is common in models of repeated games in the literature, most real situations may differ a…

Populations and Evolution · Quantitative Biology 2007-05-23 Anders Eriksson , Kristian Lindgren

This paper explores a PAC (probably approximately correct) learning model in cooperative games. Specifically, we are given $m$ random samples of coalitions and their values, taken from some unknown cooperative game; can we predict the…

Computer Science and Game Theory · Computer Science 2016-10-11 Maria-Florina Balcan , Ariel D. Procaccia , Yair Zick

Parity games have important practical applications in formal verification and synthesis, especially to solve the model-checking problem of the modal mu-calculus. They are also interesting from the theory perspective, as they are widely…

Logic in Computer Science · Computer Science 2018-07-30 Tom van Dijk

We consider a card guessing game with complete feedback. An ordered deck of $n$ cards labeled $1$ up to $n$ is shelf-shuffled exactly one time. One after the other a single card is drawn from the shuffled deck. The guesser makes has guess…

Combinatorics · Mathematics 2026-02-24 Markus Kuba

While Poker, as a family of games, has been studied extensively in the last decades, collectible card games have seen relatively little attention. Only recently have we seen an agent that can compete with professional human players in…

Artificial Intelligence · Computer Science 2024-04-26 Radovan Haluska , Martin Schmid

The last two decades have witnessed a rapid development of quantum information processing, a new paradigm which studies the power and limit of "quantum advantages" in various information processing tasks. Problems such as when quantum…

Quantum Physics · Physics 2015-02-03 Zhaohui Wei , Shengyu Zhang

Recent development in quantum computation and quantum information theory allows to extend the scope of game theory for the quantum world. The paper is devoted to the analysis of interference of quantum strategies in quantum market games.

Quantum Physics · Physics 2009-11-07 E. W. Piotrowski , J. Sladkowski , J. Syska

Game theory is appropriate for studying cyber conflict because it allows for an intelligent and goal-driven adversary. Applications of game theory have led to a number of results regarding optimal attack and defense strategies. However, the…

Cryptography and Security · Computer Science 2015-11-16 Erik M. Ferragut , Andrew C. Brady , Ethan J. Brady , Jacob M. Ferragut , Nathan M. Ferragut , Max C. Wildgruber

Quantum game theory is a new interdisciplinary field between game theory and physical research. In this paper, we extend the classical inspection game into a quantum game version by quantizing the strategy space and importing entanglement…

Computer Science and Game Theory · Computer Science 2016-07-20 Xinyang Deng , Yong Deng , Qi Liu , Zhen Wang

This paper studies a two-player game in which the players face uncertainty regarding the nature of their partner. In this variation of the standard Prisoner's Dilemma, players may encounter an 'honest' type who always cooperates.…

Theoretical Economics · Economics 2025-09-12 Georgy Lukyanov , David Li

Creating and evaluating games manually is an arduous and laborious task. Procedural content generation can aid by creating game artifacts, but usually not an entire game. Evolutionary game design, which combines evolutionary algorithms with…

Artificial Intelligence · Computer Science 2024-02-02 Lana Bertoldo Rossato , Leonardo Boaventura Bombardelli , Anderson Rocha Tavares

Consider $N$ players and $K$ games taking place simultaneously. Each of these games is modeled as a Tug-of-War (ToW) game where increasing the action of one player decreases the reward for all other players. Each player participates in only…

Computer Science and Game Theory · Computer Science 2026-04-14 Siddharth Chandak , Ilai Bistritz , Nicholas Bambos
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