Costly force relocation in the Colonel Blotto game

Brian Roberson () and Oz Shy
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Brian Roberson: Purdue University

Economic Theory Bulletin, 2021, vol. 9, issue 1, No 5, 39-52

Abstract: Abstract This paper examines a new extensive-form variation of the Colonel Blotto game with two distinct features: (i) in the first stage each player inherits an initial allocation of force across battlefields, which is publicly observable, and (ii) in the second stage it is costly to relocate forces across battlefields. A first-stage pair of allocations of force is said to be stable if there exists an equilibrium of the two-stage game in which neither player relocates any forces from one battlefield to another. We examine the set of stable initial allocations as a function of the implicit and explicit costs of relocating forces.

Keywords: Colonel Blotto game; Switching cost; Pure strategy equilibrium (search for similar items in EconPapers)
JEL-codes: C72 D72 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s40505-020-00192-7

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