2 citations · 2 across the 1 of their papers we have counts for
6 papers
Linear algebra over T-pairs
Marianne Akian, Stephane Gaubert, Louis Rowen
This is part of an ongoing project to find a general algebraic framework for semiring theory. The structure theory of semirings is quite challenging, largely because of the lack of…
Dynamics of multidimensional Simple Clock Auctions
Jad Zeroual, Marianne Akian, Aurélien Bechler +2
Simple Clock Auctions (SCA) are a mechanism commonly used in spectrum auctions to sell lots of frequency bandwidths. We study such an auction with one player having access to perfe…
Optimal strategy against straightforward bidding in clock auctions
Jad Zeroual, Marianne Akian, Aurélien Bechler +2
We study a model of auction representative of the 5G auction in France. We determine the optimal strategy of a bidder, assuming that the valuations of competitors are unknown to th…
Spectral Properties of Positive Definite Matrices over Symmetrized Tropical Algebras and Valued Ordered fields
Marianne Akian, Stephane Gaubert, Dariush Kiani +1
We investigate the properties of positive definite and positive semi-definite symmetric matrices within the framework of symmetrized tropical algebra, an extension of tropical alge…
The Competive Spectral Radius of Families of Nonexpansive Mappings
Marianne Akian, Stéphane Gaubert, Loïc Marchesini
We consider a new class of repeated zero-sum games in which the payoff is the escape rate of a switched dynamical system, where at every stage, the transition is given by a nonexpa…
Continuity and approximability of competitive spectral radii
Marianne Akian, Stéphane Gaubert, Loïc Marchesini +1
The competitive spectral radius extends the notion of joint spectral radius to the two-player case: two players alternatively select matrices in prescribed compact sets, resulting…