On Rent Dissipation in Dynamic Multi-battle Contests

2026-04-22

AI Summary

This study investigates how structural design affects incentives and rent dissipation in dynamic, multi-stage contests. Focusing on the discouragement effect—where lagging participants reduce effort due to perceived low chances of winning—the paper identifies "exchangeability" as a key structural property that characterizes necessary and sufficient conditions for near-complete rent dissipation. By developing an iterated incumbent contest model and integrating game-theoretic and dynamic contest frameworks, the analysis demonstrates that environmental volatility, under specific structural conditions, can sustain dynamic incentives and lead to almost full rent dissipation. The results show that even in infinitely repeated contests, the discouragement effect can prevent complete dissipation, yet appropriate structural design substantially enhances efficiency.

Technology Category

• Game Theory and Economic Paradigms: Mechanism Design
• Multiagent Systems: Mechanism Design
• Reasoning under Uncertainty: Decision/Utility Theory

Application Category

• Economics, Online Markets and Human Computation: Incentives in network design for Web infrastructures and ecosystems
• Web Mining and Content Analysis: Models for Web evolution
• Graph Algorithms and Modeling for the Web: Efficient manipulation of static and dynamic Web-related graphs

Abstract

We study dynamic multi-battle contests and examine how the contest structure shapes dynamic incentives and determines the extent of rent dissipation. A discouragement effect often arises -- such as in tug-of-war and best-of-$K$ contests -- preventing full rent dissipation even when the series can extend infinitely. We identify a structural property, exchangeability, that contributes to the effect. Leveraging this insight, we establish a necessary and sufficient condition for almost-full rent dissipation. As an application, we introduce the iterated incumbency contest, which illustrates how volatility in the surrounding environment sustains dynamic incentives and generates almost-full rent dissipation, and thus offers insights into various competitive phenomena.

Problem

• rent dissipation
• dynamic contests
• multi-battle contests
• discouragement effect
• exchangeability

Innovation

• dynamic multi-battle contests
• rent dissipation
• discouragement effect
• exchangeability
• iterated incumbency contest