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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

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

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

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

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 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

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

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

We introduce General Lotto games with Scouts: a General Lotto game with asymmetric information. There are two players, Red and Blue, who both allocate resources to a field. However, scouting capabilities afford Blue to gain information,…

Computer Science and Game Theory · Computer Science 2024-04-10 Jan-Tino Brethouwer , Bart van Ginkel , Roy Lindelauf

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 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

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

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

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

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

A variety of social, economic, and political interactions have long been modelled after Blotto games. In this paper, we introduce a general model of dynamic $n$-player Blotto contests. The players have asymmetric resources, and the…

Theoretical Economics · Economics 2022-07-27 Nejat Anbarcı , Kutay Cingiz , Mehmet S. Ismail

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

Many high-stakes decision-making problems, such as those found within cybersecurity and economics, can be modeled as competitive resource allocation games. In these games, multiple players must allocate limited resources to overcome their…

Computer Science and Game Theory · Computer Science 2024-01-10 N'yoma Diamond , Fabricio Murai

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

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
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