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T he purpose of this paper is to develop a general framework for supply contracts in which portfolios of contracts can be analyzed and optimized. We focus on a multi-period environment with convex contract, spot market, and inventory holding costs. We specialize the model to the case of a portfolio consisting of option contracts. We characterize the optimal replenishment policy and show that it has a simple structure. Namely, the use of every different option contract and the spot market is dictated by a modified base-stock policy. In addition, we derive conditions to determine when an option is relatively attractive compared to other options or the spot market. Finally, we present our computational study, where we report the sensitivity of the results to the parameters of the model. Our experiments indicate that portfolio contracts not only increase the manufacturer's expected profit, but can also reduce its financial risk.

This paper analyzes optimal auction design when delivery of supply is uncertain. We consider a buyer facing multiple potential suppliers, each having an associated (exogenous) reliability that quantifies its risk of supply failure. We design optimal mechanisms that depend on the buyer's level of information regarding the suppliers' cost of production and reliability. When supplier reliability is known, we find that the optimal allocation resembles the allocation under full information, but with inflated production costs. When it is unknown, the same result is true when cost and reliability of a supplier are independent. Furthermore, the buyer does not have to pay any rent for information on suppliers' reliability. Moreover, we assess the benefits of the optimal mechanism compared to traditional auctions that ignore supply risk.auctions, supply risk, information asymmetry

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We propose an extension of the competitive newsvendor model to investigate the impact of quick response under competition. For this purpose, we consider two retailers that compete in terms of inventory: customers that face a stockout at their first-choice store will look for the product at the other store. Consequently, the total demand that each retailer faces depends on the competitor's inventory level. We allow for asymmetric reordering capabilities, and we are particularly interested in the case when one of the firms has a lower ordering cost but can only produce at the beginning of the selling season, whereas the second firm has higher costs but can replenish stock in a quick response manner, taking advantage of any incremental knowledge about demand (if it is available). We visualize this problem as the competition between a traditional make-to-stock retailer that builds up inventory before the season starts versus a retailer with a responsive supply chain that can react to early demand information. We provide conditions for this game to have a unique pure-strategy subgame-perfect equilibrium, which then allows us to perform numerical comparative statics. We confirm that quick response is more beneficial when demand uncertainty is higher or exhibits a higher correlation over time. We also find that the competitive advantage from quick response is larger when facing a slow response competitor, and interestingly, asymmetric competition can be desirable to both competitors.operations strategy, supply chain management, inventory competition, game theory, fast fashion