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In this paper, we propose a probabilistic game-theoretic model to study the properties of the worst-case regret of the greedy strategy under complete (Knightian) uncertainty. In a game between a decision-maker (DM) and an adversarial agent…

计算机科学与博弈论 · 计算机科学 2025-02-12 Kristijan Atanasov , Mehmet Ismail , Frederik Mallmann-Trenn

Foraging and acquiring of food is a delicate balance between managing the costs, both energy and social, and individual preferences. Previous research on the solitary foraging of free ranging dogs showed that they prioritized the…

Positional games are a well-studied class of combinatorial game. In their usual form, two players take turns to play moves in a set (`the board'), and certain subsets are designated as `winning': the first person to occupy such a set wins…

组合数学 · 数学 2016-07-12 J. Robert Johnson , Imre Leader , Mark Walters

This paper considers a two-player game where each player chooses a resource from a finite collection of options. Each resource brings a random reward. Both players have statistical information regarding the rewards of each resource.…

计算机科学与博弈论 · 计算机科学 2023-09-19 Mevan Wijewardena , Michael J. Neely

We study variants of a stochastic game inspired by backgammon where players may propose to double the stake, with the game state dictated by a one-dimensional random walk. Our variants allow for different numbers of proposals and different…

We study a simple example of a sequential game illustrating problems connected with making rational decisions that are universal for social sciences. The set of chooser's optimal decisions that manifest his preferences in case of a constant…

物理与社会 · 物理学 2007-05-23 Edward W. Piotrowski , Marcin Makowski

We introduce and study an evolutionary complementarity game where in each round a player of population 1 is paired with a member of population 2. The game is symmetric, and each player tries to obtain an advantageous deal, but when one of…

适应与自组织系统 · 物理学 2015-06-26 Juergen Jost , Wei Li

Spatial evolutionary games are studied with myopic players whose payoff interest, as a personal character, is tuned from selfishness to other-regarding preference via fraternity. The players are located on a square lattice and collect…

物理与社会 · 物理学 2012-03-07 Gyorgy Szabo , Attila Szolnoki

Machine learning relies on the assumption that unseen test instances of a classification problem follow the same distribution as observed training data. However, this principle can break down when machine learning is used to make important…

机器学习 · 计算机科学 2015-11-24 Moritz Hardt , Nimrod Megiddo , Christos Papadimitriou , Mary Wootters

One of the most direct human mechanisms of promoting cooperation is rewarding it. We study the effect of sharing a reward among cooperators in the most stringent form of social dilemma, namely the Prisoner's Dilemma. Specifically, for a…

种群与进化 · 定量生物学 2012-02-02 J. A. Cuesta , R. Jimenez , H. Lugo , A. Sanchez

Wealthy individuals may be less tempted to defect than those with comparatively low payoffs. To take this into consideration, we introduce coevolutionary success-driven multigames in structured populations. While the core game is always the…

物理与社会 · 物理学 2014-10-17 Attila Szolnoki , Matjaz Perc

Existing multi-objective reinforcement learning (MORL) algorithms do not account for objectives that arise from players with differing beliefs. Concretely, consider two players with different beliefs and utility functions who may cooperate…

人工智能 · 计算机科学 2017-05-16 Andrew Critch

Proportional ranking rules aggregate approval-style preferences of agents into a collective ranking such that groups of agents with similar preferences are adequately represented. Motivated by the application of live Q&A platforms, where…

计算机科学与博弈论 · 计算机科学 2021-05-18 Jonas Israel , Markus Brill

Consider a card guessing game with complete feedback in which a deck of $n$ cards ordered $1,\dots, n$ is riffle-shuffled once. With the goal to maximize the number of correct guesses, a player guesses cards from the top of the deck one at…

组合数学 · 数学 2022-07-22 Tipaluck Krityakierne , Thotsaporn Aek Thanatipanonda

In this work the properties of multi choice minority games are studied by means of extensive computational simulations. We have considered several ways of rewarding the strategies of the players and compared the resulting behaviours of the…

无序系统与神经网络 · 物理学 2008-11-23 J. Menche , J. R. L. de Almeida

Player ONE chooses a meager set and player TWO, a nowhere dense set per inning. They play $\omega$ many innings. ONE's consecutive choices must form a (weakly) increasing sequence. TWO wins if the union of the chosen nowhere dense sets…

逻辑 · 数学 2009-09-25 Marion Scheepers

A planner wants to select one agent out of n agents on the basis of a binary characteristic that is commonly known to all agents but is not observed by the planner. Any pair of agents can either be friends or enemies or impartials of each…

理论经济学 · 经济学 2025-11-17 Francis Bloch , Bhaskar Dutta , Marcin Dziubiński

We propose a new model of provenance, based on a game-theoretic approach to query evaluation. First, we study games G in their own right, and ask how to explain that a position x in G is won, lost, or drawn. The resulting notion of game…

数据库 · 计算机科学 2013-11-20 Sven Köhler , Bertram Ludäscher , Daniel Zinn

Social hierarchy is important that can not be ignored in human socioeconomic activities and in the animal world. Here we incorporate this factor into the evolutionary game to see what impact it could have on the cooperation outcome. The…

物理与社会 · 物理学 2021-02-02 Rizhou Liang , Jiqiang Zhang , Guozhong Zheng , Li Chen

For a topological space $X$ and a point $x \in X$, consider the following game -- related to the property of $X$ being countably tight at $x$. In each inning $n\in\omega$, the first player chooses a set $A_n$ that clusters at $x$, and then…

一般拓扑 · 数学 2016-04-01 Leandro F. Aurichi , Angelo Bella , Rodrigo R. Dias