Allocation of Heterogeneous Resources in General Lotto Games
Keith Paarporn, Adel Aghajan, Jason R. Marden

TL;DR
This paper extends the General Lotto game to include multiple resource types, deriving equilibrium strategies and payoffs for different winning rules and cost scenarios, advancing strategic resource allocation analysis.
Contribution
It introduces a multi-resource extension of the General Lotto game, providing a complete characterization of equilibrium strategies for various winning rules and cost considerations.
Findings
Characterized equilibrium payoffs for two resource allocation rules.
Derived optimal strategies considering resource costs.
Analyzed impact of resource composition on game outcomes.
Abstract
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 multiple heterogeneous types of resources are at a system planner's disposal. In this paper, we focus on deriving optimal strategies for the allocation of heterogeneous resources in a well-known competitive resource allocation model known as the General Lotto game. In standard formulations, outcomes are determined solely by the players' allocation strategies of a common, single type of resource across multiple contests. In particular, a player wins a contest if it sends more resources than the opponent. Here, we propose a multi-resource extension where the winner of a contest is now determined not only by the amount of resources allocated, but also by the…
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Taxonomy
TopicsSports Analytics and Performance · Artificial Intelligence in Games
MethodsFocus
