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The paper is devoted to a generalization of static and dynamic mathematical models of behavior with explicitly stated reflexive models of agents' decision-making. Reflexion is considered as agent's beliefs about nature, opponents' beliefs…

Computer Science and Game Theory · Computer Science 2018-01-23 Dmitry Novikov , Vsevolod Korepanov , Alexander Chkhartishvili

Strategic classification studies the problem where self-interested individuals or agents manipulate their response to obtain favorable decision outcomes made by classifiers, typically turning to dishonest actions when they are less costly…

Machine Learning · Computer Science 2026-05-07 Ziyuan Huang , Lina Alkarmi , Mingyan Liu

The voting process is formalized as a multistage voting model with successive alternative elimination. A finite number of agents vote for one of the alternatives each round subject to their preferences. If the number of votes given to the…

Optimization and Control · Mathematics 2018-08-01 Oleg A. Malafeyev , Denis Rylow , Irina Zaitseva , Anna Ermakova , Dmitry Shlaev

This paper uses category theory to develop an entirely new approach to approximate game theory. Game theory is the study of how different agents within a multi-agent system take decisions. At its core, game theory asks what an optimal…

Computer Science and Game Theory · Computer Science 2025-09-26 Neil Ghani

We consider a computing system where a master processor assigns tasks for execution to worker processors through the Internet. We model the workers decision of whether to comply (compute the task) or not (return a bogus result to save the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-25 Antonio Fernández Anta , Chryssis Georgiou , Miguel A. Mosteiro , Daniel Pareja

The multilevel reverse Stackelberg game is considered. In this game, the leader controls the outcome by announcing a strategy as a function of decision variables of the followers to his/her own decision space. Corresponding to the leader's…

Optimization and Control · Mathematics 2023-03-01 Seyfe Belete Worku , Birilew Belayneh Tsegaw , Semu Mitiku Kassa

Optimization via simulation has been well established to find optimal solutions and designs in complex systems. However, it still faces modeling and computational challenges when extended to the multi-stage setting. This survey reviews the…

Optimization and Control · Mathematics 2023-12-08 Zhuo Zhang , Dan Wang , Haoxiang Yang , Shubin Si

Game Theory concepts have been successfully applied in a wide variety of domains over the past decade. Sports and games are one of the popular areas of game theory application owing to its merits and benefits in solving complex scenarios.…

Computer Science and Game Theory · Computer Science 2021-05-26 Ambareesh Ravi , Atharva Gokhale , Anchit Nagwekar

This paper introduces a novel multi-stage decision-making model that integrates hypothesis testing and dynamic programming algorithms to address complex decision-making scenarios.Initially,we develop a sampling inspection scheme that…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Ziyang Liu , Yurui Hu , Yihan Deng

Evolutionary games are a developing sub-field of game theory. This branch of game theory is used in the study of the adaptation of large, but finite, populations of agents to changes in the environment. It assumes that each agent has no…

Computer Science and Game Theory · Computer Science 2023-07-12 E. M. Lorits , E. A. Gubar

In multi-agent settings, game theory is a natural framework for describing the strategic interactions of agents whose objectives depend upon one another's behavior. Trajectory games capture these complex effects by design. In competitive…

Computer Science and Game Theory · Computer Science 2022-05-04 Lasse Peters , David Fridovich-Keil , Laura Ferranti , Cyrill Stachniss , Javier Alonso-Mora , Forrest Laine

Reflection is a critical aspect of the learning process. However, educational games tend to focus on supporting learning concepts rather than supporting reflection. While reflection occurs in educational games, the educational game design…

Human-Computer Interaction · Computer Science 2020-06-22 Jennifer Villareale , Colan F. Biemer , Magy Seif El-Nasr , Jichen Zhu

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

Sequential reasoning is a complex human ability, with extensive previous research focusing on gaming AI in a single continuous game, round-based decision makings extending to a sequence of games remain less explored. Counter-Strike: Global…

Artificial Intelligence · Computer Science 2020-08-13 Yilei Zeng , Deren Lei , Beichen Li , Gangrong Jiang , Emilio Ferrara , Michael Zyda

Two-stage superposition choice procedures, which sequentially apply two choice procedures so that the result of the first choice procedure is the input for the second choice procedure, are studied. We define which of them satisfy given…

Optimization and Control · Mathematics 2016-11-03 Sergey Shvydun

We present a robust framework with computational algorithms to support decision makers in sequential games. Our framework includes methods to solve games with complete information, assess the robustness of such solutions and, finally,…

Computation · Statistics 2024-02-22 Tahir Ekin , Roi Naveiro , Alberto Torres-Barrán , David Ríos-Insua

Recent theories from complexity science argue that complex dynamics are ubiquitous in social and economic systems. These claims emerge from the analysis of individually simple agents whose collective behavior is surprisingly complicated.…

Adaptation and Self-Organizing Systems · Physics 2013-04-19 Seth Frey , Robert L. Goldstone

The paper describes multistage design of composite (modular) systems (i.e., design of a system trajectory). This design process consists of the following: (i) definition of a set of time/logical points; (ii) modular design of the system for…

Artificial Intelligence · Computer Science 2013-06-20 Mark Sh. Levin

Most decision-focused learning work has focused on single stage problems whereas many real-world decision problems are more appropriately modelled using multistage optimisation. In multistage problems contextual information is revealed over…

Optimization and Control · Mathematics 2025-05-29 Egon Peršak , Miguel F. Anjos

In this paper we present results and analyses of a class of games in which heterogeneous agents are rewarded for being in a minority group. Each agent possesses a number of fixed strategies each of which are predictors of the next minority…

adap-org · Physics 2007-05-23 Radu Manuca , Yi Li , Rick Riolo , Robert Savit
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