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For a fixed probability $\\mu$ on $X$ with supp($\\mu$)$=X$, define $\\Pi(\\mu,\\sigma)$ as the set of all Borel probabilities $\\pi \\in P(X\\times \\Omega)$ such that the $x$-marginal of $\\pi$ is $\\mu $ and the $y$-marginal of $\\pi$ is $\\sigma$-invariant. We consider a fixed Lipschitz cost function $c: X \\times \\Omega \\to \\mathbb{R}$ and an associated Ruelle operator. We introduce the concept of Gibbs plan, which is a probability on $X \\times \\Omega$. 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