Economics at your fingertips  

N-dimensional Blotto game with heterogeneous battlefield values

Caroline Thomas ()

Economic Theory, 2018, vol. 65, issue 3, No 1, 509-544

Abstract: Abstract This paper introduces the irregular N-gon solution, a new geometric method for constructing equilibrium distributions in the Colonel Blotto game with heterogeneous battlefield values, generalising known construction methods. Using results on the existence of tangential polygons, it derives necessary and sufficient conditions for the irregular N-gon method to be applied, given the parameters of a Blotto game. The method does particularly well when the battlefield values satisfy some clearly defined regularity conditions. The paper establishes the parallel between these conditions and the constrained integer partitioning problem in combinatorial optimisation. The properties of equilibrium distributions numerically generated using the irregular N-gon method are illustrated. They indicate that the realised allocations, weighted by battlefield value, are less egalitarian and depend more strongly on battlefield values than previously thought. In the context of the US presidential elections, the explicit construction of equilibria provides new insights into the relation between the size of a state and the campaign resources spent there by presidential candidates.

Keywords: Blotto game; Integer partitioning problem; Political campaign financing; US presidential elections (search for similar items in EconPapers)
JEL-codes: C72 D63 D72 (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (13) Track citations by RSS feed

Downloads: (external link) Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:

Ordering information: This journal article can be ordered from
http://www.springer. ... eory/journal/199/PS2

DOI: 10.1007/s00199-016-1030-z

Access Statistics for this article

Economic Theory is currently edited by Nichoals Yanneils

More articles in Economic Theory from Springer, Society for the Advancement of Economic Theory (SAET) Contact information at EDIRC.
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().

Page updated 2022-05-21
Handle: RePEc:spr:joecth:v:65:y:2018:i:3:d:10.1007_s00199-016-1030-z