An equilibrium analysis of the Arad-Rubinstein game

Christian Ewerhart and Stanisław Kaźmierowski

No 443, ECON - Working Papers from Department of Economics - University of Zurich

Abstract: Colonel Blotto games with discrete strategy spaces effectively illustrate the intricate nature of multidimensional strategic reasoning. This paper studies the equilibrium set of such games where, in line with prior experimental work, the tie-breaking rule is allowed to be flexible. We begin by pointing out that equilibrium constructions known from the literature extend to our class of games. However, we also note that, irrespective of the tie-breaking rule, the equilibrium set is excessively large. Specifically, any pure strategy that allocates at most twice the fair share to each battlefield is used with positive probability in some equilibrium. Furthermore, refinements based on the elimination of weakly dominated strategies prove ineffective. To derive specific predictions amid this multiplicity, we compute strategies resulting from long-run adaptive learning.

Keywords: Colonel Blotto games; multidimensional strategic reasoning; tiebreaking rules; Nash equilibrium; dominated strategies; adaptive learning (search for similar items in EconPapers)
JEL-codes: C72 C91 D74 (search for similar items in EconPapers)
Date: 2024-03
New Economics Papers: this item is included in nep-exp, nep-gth and nep-mic
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.zora.uzh.ch/id/eprint/258525/1/econwp443.pdf (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:zur:econwp:443

Access Statistics for this paper

More papers in ECON - Working Papers from Department of Economics - University of Zurich Contact information at EDIRC.
Bibliographic data for series maintained by Severin Oswald ().