Uniqueness proofs are mathematical arguments that establish the singularity of a solution to a given problem, demonstrating that there is only one possible outcome under specified conditions. In economic contexts, these proofs are essential for confirming that an equilibrium point in a model is not just existent but also distinct, meaning no other equilibria exist that satisfy the same conditions. This concept is vital for ensuring the stability and predictability of economic models, as multiple equilibria can complicate analysis and decision-making.
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