The dynamics of majoritarian Blotto games

B-Tier
Journal: Games and Economic Behavior
Year: 2019
Volume: 117
Issue: C
Pages: 402-419

Authors (3)

Klumpp, Tilman (not in RePEc) Konrad, Kai A. (Centre for Economic Policy Res...) Solomon, Adam (not in RePEc)

Score contribution per author:

0.670 = (α=2.01 / 3 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

We study Colonel Blotto games with sequential battles and a majoritarian objective. For a large class of contest success functions, the equilibrium is unique and characterized by an even split: Each battle that is reached before one of the players wins a majority of battles is allocated the same amount of resources from the player's overall budget. As a consequence, a player's chance of winning any particular battle is independent of the battlefield and of the number of victories and losses the player has accumulated in prior battles. This result is in stark contrast to equilibrium behavior in sequential contests that do not involve either fixed budgets or a majoritarian objective. We also consider the equilibrium choice of an overall budget. For many contest success functions, if the sequence of battles is long enough the payoff structure in this extended game resembles an all-pay auction without noise.

Technical Details

RePEc Handle
repec:eee:gamebe:v:117:y:2019:i:c:p:402-419
Journal Field
Theory
Author Count
3
Added to Database
2026-01-25