We examine a hedonic model featuring uncertain production costs. The aim is to determine equilibrium prices and wages that facilitate the pairing of consumers with teams of producers, even when faced with the veil of uncertainty shrouding production costs. Using the framework of optimal transport theory, we identify the conditions sufficient for the existence of robust matching equilibrium. Our results show that under an additive uncertainty model for production costs, equilibrium can indeed be achieved, characterized by the expectation of the matching outcome under conditions of certainty. However, this model exhibits a twist of indeterminacy into the matching equilibrium. This departure from determinism is a distinctive feature, emphasizing the unique dynamics arising when uncertainty intersects with equilibrium-seeking mechanisms. To emphasize on this feature, we examine a special case which is related to martingale optimal transport. This case also underscores the complexity inherent in situations where uncertainty governs the equilibrium landscape. Altogether, our results offer a fresh perspective on matching scenarios marked by unpredictability in production costs.

我们研究了一个具有不确定生产成本的享乐模型。其目的是确定均衡价格和工资，以促进消费者与生产者团队的配对，即使面临生产成本的不确定性面纱。使用最优传输理论的框架，我们确定了鲁棒匹配平衡存在的充分条件。我们的结果表明，在生产成本的加性不确定性模型下，确实可以实现均衡，其特征是在确定性条件下对匹配结果的期望。然而，该模型表现出匹配平衡的不确定性。这种对决定论的背离是一个显着特征，强调了当不确定性与寻求平衡机制相交时产生的独特动态。为了强调这一特征，我们研究了与鞅最优运输相关的特殊情况。这一案例还强调了不确定性主导均衡格局的情况所固有的复杂性。总而言之，我们的结果为以生产成本不可预测性为特征的匹配场景提供了全新的视角。