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In this work, we proposed a new $N$-person game in which the players can bet on two options, for example represented by two boxers. Some of the players have privileged information about the boxers and part of them can provide this…

Statistical Mechanics · Physics 2018-04-04 Roberto da Silva , Henrique A. Fernandes

In adversarial interactions, one is often required to make strategic decisions over multiple periods of time, wherein decisions made earlier impact a player's competitive standing as well as how choices are made in later stages. In this…

Computer Science and Game Theory · Computer Science 2022-09-14 Rahul Chandan , Keith Paarporn , Mahnoosh Alizadeh , Jason R. Marden

The emergence of large language models (LLMs) has spurred economists to study how humans and LLMs behave in strategic settings. We organized a series of round-robin tournaments in the Colonel Blotto game. This game attracts game theorists'…

General Economics · Economics 2026-05-22 Dmitry Dagaev , Egor Ivanov , Petr Parshakov , Alexey Savvateev , Gleb Vasiliev

In this work we successfully present a quantum version of the multiplayer Colonel Blotto game. We find that players with access to the quantum strategies has a advantage over the classical ones. The payoff is invariant under the order of…

Quantum Physics · Physics 2025-05-26 J. Naskar , A. C. Maioli

Strategic decisions are often made over multiple periods of time, wherein decisions made earlier impact a competitor's success in later stages. In this paper, we study these dynamics in General Lotto games, a class of models describing the…

Computer Science and Game Theory · Computer Science 2025-05-06 Keith Paarporn , Rahul Chandan , Mahnoosh Alizadeh , Jason R. Marden

We add the assumption that players know their opponents' payoff functions and rationality to a model of non-equilibrium learning in signaling games. Agents are born into player roles and play against random opponents every period.…

Theoretical Economics · Economics 2020-01-16 Drew Fudenberg , Kevin He

We study information design in games where players choose from a continuum of actions and have continuously differentiable payoffs. We show that an information structure is optimal when the equilibrium it induces can also be implemented in…

Theoretical Economics · Economics 2026-04-23 Alex Smolin , Takuro Yamashita

Resource allocation in adversarial environments is a fundamental challenge across various domains, from corporate competition to military strategy. This article examines the impact of compromising an opponent's strategic intent in the…

Computer Science and Game Theory · Computer Science 2024-10-03 Gilberto Diaz-Garcia , Keith Paarporn , Jason R. Marden

The article considers strategies of coalitions that are based on intelligence information about moves of some of the other agents. The main technical result is a sound and complete logical system that describes the interplay between…

Computer Science and Game Theory · Computer Science 2019-10-17 Pavel Naumov , Yuan Yuan

This paper studies a communication game between an uninformed decision maker and two perfectly informed senders with conflicting interests. Senders can misreport information at a cost that increases with the size of the misrepresentation.…

Theoretical Economics · Economics 2023-04-17 Federico Vaccari

Can revealing one's competitive capabilities to an opponent offer strategic benefits? In this paper, we address this question in the context of General Lotto games, a class of two-player competitive resource allocation models. We consider…

Computer Science and Game Theory · Computer Science 2023-04-07 Keith Paarporn , Philip N. Brown

In the Colonel Blotto game, which was initially introduced by Borel in 1921, two colonels simultaneously distribute their troops across different battlefields. The winner of each battlefield is determined independently by a winner-take-all…

Computer Science and Game Theory · Computer Science 2016-12-28 Soheil Behnezhad , Sina Dehghani , Mahsa Derakhshan , MohammadTaghi HajiAghayi , Saeed Seddighin

We consider games in which players search for a hidden prize, and they have asymmetric information about the prize location. We study the social payoff in equilibria of these games. We present sufficient conditions for the existence of an…

Theoretical Economics · Economics 2022-04-19 Gilad Bavly , Yuval Heller , Amnon Schreiber

In competitive adversarial environments, it is often advantageous to obfuscate one's strategies or capabilities. However, revealing one's strategic intentions may shift the dynamics of the competition in complex ways. Can it ever be…

Computer Science and Game Theory · Computer Science 2020-03-17 Rahul Chandan , Keith Paarporn , Jason R. Marden

We consider a two-player game of war of attrition under complete information. It is well-known that this class of games admits equilibria in pure, as well as mixed strategies, and much of the literature has focused on the latter. We show…

Optimization and Control · Mathematics 2021-11-30 George Georgiadis , Youngsoo Kim , H. Dharma Kwon

In statistical decision theory involving a single decision-maker, an information structure is said to be better than another one if for any cost function involving a hidden state variable and an action variable which is restricted to be…

Optimization and Control · Mathematics 2021-01-07 Ian Hogeboom-Burr , Serdar Yüksel

Zero-sum asymmetric games model decision making scenarios involving two competing players who have different information about the game being played. A particular case is that of nested information, where one (informed) player has superior…

Computer Science and Game Theory · Computer Science 2017-11-08 Lichun Li , Jeff S. Shamma

Resource competition problems are often modeled using Colonel Blotto games, where players take simultaneous actions. However, many real-world scenarios involve sequential decision-making rather than simultaneous moves. To model these…

Computer Science and Game Theory · Computer Science 2025-05-13 Yan Liu , Bonan Ni , Weiran Shen , Zihe Wang , Jie Zhang

This paper studies incomplete-information games in which an information provider, an oracle, publicly discloses information to the players. One oracle is said to dominate another if, in every game, it can replicate the equilibrium outcomes…

Theoretical Economics · Economics 2025-11-13 David Lagziel , Ehud Lehrer , Tao Wang

Multi-agent systems are designed to concurrently accomplish a diverse set of tasks at unprecedented scale. Here, the central problems faced by a system operator are to decide (i) how to divide available resources amongst the agents assigned…

Systems and Control · Electrical Eng. & Systems 2021-04-01 Keith Paarporn , Rahul Chandan , Mahnoosh Alizadeh , Jason R. Marden