General Lotto solvable cases of the Colonel Blotto game

Speaker(s)

Marcin Dziubiński

Affiliation

University of Warsaw

Language of the talk

English

Date

Nov. 28, 2024, 12:15 p.m.

Room

room 4050

Title in Polish

General Lotto solvable cases of the Colonel Blotto game

Seminar

Seminar Games, Mechanisms, and Social Networks

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We derive new equilibrium strategies for the discrete Colonel Blotto game for all the numbers of resources and battlefields for which the game can be solved using the discrete General Lotto game of [Hart, 2008]. We propose a constrained variant of the discrete General Lotto game and use it to derive equilibrium strategies in the discrete Colonel Blotto game, that go beyond the General Lotto solvable cases game. This allows to solve almost all (except a small number) of the asymmetric cases of the Colonel Blotto game in which the number of units of the stronger player is either very small or not too small.

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