Stability of Multi-Valued Continuous Consensus11Preliminary Version, Some proofs are omitted from this version.

Pointfree topology version of image of real-valued continuous functions

Let $ { mathcal{R}} L$ be the ring of real-valued continuous functions on a frame $L$ as the pointfree  version of $C(X)$, the ring of all real-valued continuous functions on a topological space $X$. Since $C_c(X)$ is the largest subring of $C(X)$ whose elements have countable image, this motivates us to present the pointfree  version of $C_c(X).$The main aim of this paper is to present t...

Multipotential Games∗ This version contains all proofs

We introduce and analyze q-potential games and qcongestion games, where q is a positive integer. A 1-potential (congestion) game is a potential (congestion) game. We show that a game is a q-potential game if and only if it is (up to an isomorphism) a q-congestion game. As a corollary, we derive the result that every game in strategic form is a qcongestion game for some q. It is further shown th...

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