 The dynamics of majoritarian Blotto gamesTilman Klumpp, Kai Konrad and Adam Solomon Games and Economic Behavior, 2019, vol. 117, issue C, 402-419 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. Keywords: Blotto games; Dynamic battles; Multi-battle contest; All-pay auctions; Sequential elections (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:117:y:2019:i:c:p:402-419 DOI: 10.1016/j.geb.2019.07.004 Access Statistics for this article Games and Economic Behavior is currently edited by E. Kalai More articles in Games and Economic Behavior from Elsevier |
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