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The General Lotto game is a popular variant of the famous Colonel Blotto game, in which two opposing players allocate limited resources over many battlefields. In this paper, we consider incomplete and asymmetric information formulations…

Computer Science and Game Theory · Computer Science 2022-10-18 Keith Paarporn , Rahul Chandan , Mahnoosh Alizadeh , Jason R. Marden

In this paper, we investigate informational asymmetries in the Colonel Blotto game, a game-theoretic model of competitive resource allocation between two players over a set of battlefields. The battlefield valuations are subject to…

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

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

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

Resource allocation problems across multiple contests are ubiquitous in adversarial settings, from military operations to market competition. While Colonel Blotto and General Lotto games have provided valuable theoretical foundations for…

Computer Science and Game Theory · Computer Science 2026-04-09 Keith Paarporn , Jason R. Marden

The allocation of resources plays an important role in the completion of system objectives and tasks, especially in the presence of strategic adversaries. Optimal allocation strategies are becoming increasingly more complex, given that…

Theoretical Economics · Economics 2025-05-07 Keith Paarporn , Adel Aghajan , Jason R. Marden

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

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

Strategic decision-making in uncertain and adversarial environments is crucial for the security of modern systems and infrastructures. A salient feature of many optimal decision-making policies is a level of unpredictability, or randomness,…

Computer Science and Game Theory · Computer Science 2024-05-03 Keith Paarporn , Rahul Chandan , Dan Kovenock , Mahnoosh Alizadeh , Jason R. Marden

In this paper, we investigate the multiplayer General Lotto game across multiple battlefields, a significant variant of the Colonel Blotto game. In this version, each player employs a probability distribution for resource allocation,…

Computer Science and Game Theory · Computer Science 2025-10-07 Yan Liu , Bonan Ni , Weiran Shen , Zihe Wang , Jie Zhang

In the Colonel Blotto game, two players with a fixed budget simultaneously allocate their resources across n battlefields to maximize the aggregate value gained from the battlefields where they have the higher allocation. Despite its…

Computer Science and Game Theory · Computer Science 2020-11-04 Dong Quan Vu , Patrick Loiseau , Alonso Silva

How do different alliance mechanisms compare? In this work, we analyze various methods of forming an alliance in the Coalitional General Lotto game, a simple model of competitive resource allocation. In the game, Players 1 and 2…

Computer Science and Game Theory · Computer Science 2026-01-30 Vade Shah , Jason R. Marden

Ensuring the security of networked systems is a significant problem, considering the susceptibility of modern infrastructures and technologies to adversarial interference. A central component of this problem is how defensive resources…

Computer Science and Game Theory · Computer Science 2023-06-13 Adel Aghajan , Keith Paarporn , Jason R. Marden

We study equilibrium strategies and the value of the asymmetric variant of the discrete Colonel Blotto game with $K \geq 2$ battlefields, $B \geq 1$ resources of the weaker player and $A > B$ resources of the stronger player. We derive…

Theoretical Economics · Economics 2025-11-17 Marcin Dziubiński

We consider a stochastic version of the well-known Blotto game, called the gladiator game. In this zero-sum allocation game two teams of gladiators engage in a sequence of one-to-one fights in which the probability of winning is a function…

Computer Science and Game Theory · Computer Science 2019-01-21 Yosef Rinott , Marco Scarsini , Yaming Yu

Blotto Games are a popular model of multi-dimensional strategic resource allocation. Two players allocate resources in different battlefields in an auction setting. While competition with equal budgets is well understood, little is known…

Neural and Evolutionary Computing · Computer Science 2021-03-29 Aymeric Vie

The Colonel Blotto game, introduced by Borel in the 1920s, is often used for modeling various real-life settings, such as elections, lobbying, etc. The game is based on the allocation of limited resources by players to a set of fields. Each…

Theoretical Economics · Economics 2024-07-25 Sidarth Erat

Competitive resource allocation between adversarial decision makers arises in a wide spectrum of real-world applications such as in communication systems, cyber-physical systems security, as well as financial, political, and electoral…

Computer Science and Game Theory · Computer Science 2018-03-05 Aidin Ferdowsi , Anibal Sanjab , Walid Saad , Tamer Başar

We investigate quantum games in which the information is asymmetrically distributed among the players, and find the possibility of the quantum game outperforming its classical counterpart depends strongly on not only the entanglement, but…

Quantum Physics · Physics 2007-05-23 Jiangfeng Du , Hui Li , Chenyong Ju

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.…

Computer Science and Game Theory · Computer Science 2023-09-19 Mevan Wijewardena , Michael J. Neely
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