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Games for the Strategic Influence of Expectations
We introduce a new class of games where each player's aim is to randomise her
strategic choices in order to affect the other players' expectations aside from
her own. The way each player intends to exert this influence is expressed
through a Boolean combination of polynomial equalities and inequalities with
rational coefficients. We offer a logical representation of these games as well
as a computational study of the existence of equilibria.Comment: In Proceedings SR 2014, arXiv:1404.041
Pavelka-style completeness in expansions of \L ukasiewicz logic
An algebraic setting for the validity of Pavelka style completeness for some
natural expansions of \L ukasiewicz logic by new connectives and rational
constants is given. This algebraic approach is based on the fact that the
standard MV-algebra on the real segment is an injective MV-algebra. In
particular the logics associated with MV-algebras with product and with
divisible MV-algebras are considered
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