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1206. Simple games with minimum

Invited abstract in session MD-36: Game Theory, Solutions and Structures IV, stream Game Theory, Solutions and Structures.

Monday, 14:30-16:00
Room: 32 (building: 306)

Authors (first author is the speaker)

1. Sascha Kurz
Mathematics, Physics and Computer Science, University of Bayreuth
2. Dani Samaniego
Matemàtiques, Universitat Politècnica de Catalunya

Abstract

Every simple game is a monotone Boolean function. For the other direction we just have to exclude the two constant functions. Here we consider simple games with minimum, i.e., simple games with a unique minimal winning vector. We present enumeration results as well as formulas for their dimension.

Keywords

Status: accepted


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