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The review presents the basics of quantum decision theory, with the emphasis on temporary processes in decision making. The aim is to explain the principal points of the theory. The difference of an operationally testable rational choice…

人工智能 · 计算机科学 2020-07-15 V. I. Yukalov

The main challenge of combinatorial game theory is to handle combinatorial chaos, if one player knows the strategy better than his opponent, he is able to determine the exact results of a game. If both players are qualified competitor, the…

计算机科学与博弈论 · 计算机科学 2022-08-16 Junan Pan

Evolutionary game theory has proven to be an elegant framework providing many fruitful insights in population dynamics and human behaviour. Here, we focus on the aspect of behavioural plasticity and its effect on the evolution of…

种群与进化 · 定量生物学 2020-09-29 M. Kleshnina , K. Kaveh , K. Chatterjee

We identify a distinct motive for search, termed catalytic exploration, where agents rationally explore alternatives they expect to reject to resolve uncertainty about the status quo. By decomposing option value into switching and catalytic…

理论经济学 · 经济学 2025-11-25 Zeyu He

Experiments on the ultimatum game have revealed that humans are remarkably fond of fair play. When asked to share an amount of money, unfair offers are rare and their acceptance rate small. While empathy and spatiality may lead to the…

物理与社会 · 物理学 2012-08-20 Attila Szolnoki , Matjaz Perc , Gyorgy Szabo

We consider entailment problems involving powerful constraint languages such as frontier-guarded existential rules in which we impose additional semantic restrictions on a set of distinguished relations. We consider restricting a relation…

计算机科学中的逻辑 · 计算机科学 2022-02-18 Antoine Amarilli , Michael Benedikt , Pierre Bourhis , Michael Vanden Boom

Combinatorial Game Theory has also been called `additive game theory', whenever the analysis involves sums of independent game components. Such {\em disjunctive sums} invoke comparison between games, which allows abstract values to be…

组合数学 · 数学 2021-01-29 Urban Larsson , Richard J. Nowakowski , Carlos P. Santos

A traditional assumption in game theory is that players are opaque to one another---if a player changes strategies, then this change in strategies does not affect the choice of other players' strategies. In many situations this is an…

计算机科学与博弈论 · 计算机科学 2013-08-20 Joseph Y. Halpern , Rafael Pass

This paper examines games with strategic complements or substitutes and incomplete information, where players are uncertain about the opponents' parameters. We assume that the players' beliefs about the opponent's parameters are selected…

理论经济学 · 经济学 2025-01-28 Joep van Sloun

Evolutionary game theory assumes that individuals maximize their benefits when choosing strategies. However, an alternative perspective proposes that individuals seek to maximize the benefits of others. To explore the relationship between…

物理与社会 · 物理学 2024-05-16 Chaoqian Wang , Attila Szolnoki

We consider an extension of the classical Total Store Order (TSO) semantics by expanding it to turn-based 2-player safety games. During her turn, a player can select any of the communicating processes and perform its next transition. We…

计算机科学与博弈论 · 计算机科学 2025-10-01 Stephan Spengler , Sanchari Sil

The recent years have seen interest into the possibility for (classical as well as quantum) causal structures that, while remaining logically consistent, feature a cyclic causal order between events, opening intriguing possibilities for new…

量子物理 · 物理学 2025-06-24 Ilyass Mejdoub , Augustin Vanrietvelde

We study the emergency of mutual cooperation in evolutionary prisoner's dilemma games when the players are located on a square lattice. The players can choose one of the three strategies: cooperation (C), defection (D) or "tit for tat" (T),…

统计力学 · 物理学 2015-06-24 Gyorgy Szabo , Tibor Antal , Peter Szabo , Michel Droz

We introduce a class of learning problems where the agent is presented with a series of tasks. Intuitively, if there is relation among those tasks, then the information gained during execution of one task has value for the execution of…

机器学习 · 计算机科学 2012-09-06 Christos Dimitrakakis

Competition among cooperators, defectors, and loners is studied in an evolutionary prisoner's dilemma game with optional participation. Loners are risk averse i.e. unwilling to participate and rather rely on small but fixed earnings. This…

无序系统与神经网络 · 物理学 2009-11-07 Gyorgy Szabo , Christoph Hauert

In multiplayer games with sequential decision-making, self-interested players form dynamic coalitions to achieve most-preferred temporal goals beyond their individual capabilities. We introduce a novel procedure to synthesize strategies…

计算机科学与博弈论 · 计算机科学 2025-01-31 A. Kaan Ata Yilmaz , Abhishek Kulkarni , Ufuk Topcu

The adaptation to situations of sequential choice under uncertainty of decision criteria which deviate from (subjective) expected utility raises the problem of ensuring the selection of a nondominated strategy. In particular, when following…

计算机科学与博弈论 · 计算机科学 2013-02-01 Jean-Yves Jaffray

In problems involving the allocation of a single non-disposable commodity, we study rules defined on a general domain of preferences requiring only that each preference exhibit a unique global maximum. Our focus is on rules that satisfy a…

理论经济学 · 经济学 2025-12-18 R. Pablo Arribillaga , Agustin G. Bonifacio

The rationalizability concept was introduced in \cite{Ber84} and \cite{Pea84} to assess what can be inferred by rational players in a non-cooperative game in the presence of common knowledge. However, this notion can be defined in a number…

计算机科学与博弈论 · 计算机科学 2007-06-13 Krzysztof R. Apt

Infinite chess is chess played on an infinite edgeless chessboard. The familiar chess pieces move about according to their usual chess rules, and each player strives to place the opposing king into checkmate. The mate-in-n problem of…

逻辑 · 数学 2012-05-17 Dan Brumleve , Joel David Hamkins , Philipp Schlicht