We analyze how sharing rules affect Nash equilibria in Bertrand games, where the sharing of profits at ties is a decisive assumption. Necessary conditions for either positive or zero equilibrium profits are derived. Zero profit equilibria are shown to exist under weak conditions if the sharing rule is “sign-preserving”. For Bertrand markets we define the class of “expectation sharing rules”, wh...

We characterize linear operators preserving zero-restrictions on entire functions in weighted Bargmann–Fock spaces. This extends the characterization of linear operators on polynomials preserving stability (due to Borcea and the author) to the realm of entire functions, and translates into an optimal, albeit formal, Lee–Yang theorem.

Digital product passports (DPPs) are an emerging technology and considered as enablers of sustainable circular value chains they support management (SPM) by gathering containing life cycle data. However, some data sensitive stakeholders, resulting in a reluctance to share such This contribution provides concept illustrating how science machine learning approaches enable electric vehicle battery...

This paper generalizes the Aleksandrov problem, the Mazur–Ulam theorem and Benz theorem on n-normed spaces. It proves that a one-distance preserving mapping is an nisometry if and only if it has the zero-distance preserving property, and two kinds of n-isometries on n-normed spaces are equivalent.

Scalar product protocol aims at securely computing the dot product of two private vectors. As a basic tool, the protocol has been widely used in privacy preserving distributed collaborative computations. In this paper, at the expense of disclosing partial sum of some private data, we propose a linearly efficient even-dimension scalar product protocol (EDSPP) without employing expensive homomorp...