Coordinating Investment, Production, and Subcontracting

Abstract

We value the option of subcontracting to improve Þnancial performance and system coordination by analyzing a competitive stochastic investment game with recourse. The manufacturer and subcontractor decide separately on their capacity investment levels. Then demand uncertainty is resolved and both parties have the option to subcontract when deciding on their production and sales. We analyze and present outsourcing conditions for three contract types:(1) price-only contracts where an ex-ante transfer price is set for each unit supplied by the subcontractor; (2) incomplete contracts, where both parties negotiate over the subcontracting transfer; and (3) state-dependent price-only and incomplete contracts for which we show an equivalence result.While subcontracting with these three contract types can coordinate production decisions in the supply system, only state-dependent contracts can eliminate all decentralization costs and coordinate capacity investment decisions. The minimally sufficient price-only contract that coordinates our supply chain speciÞes transfer prices for a small number (6 in our model) of contingent scenarios. Our game-theoretic model allows the analysis of the role of transfer prices and of the bargaining power of buyer and supplier. We Þnd that sometimes Þrms may be better off leaving some contract parameters unspeciÞed ex-ante and agreeing to negotiate ex-post. Also, a price-focused strategy for managing subcontractors can backÞre because a lower transfer price may decrease the manufacturer's proÞt. Finally, as with Þnancial options, the option value of subcontracting increases as markets are more volatile or more negatively correlated.

Game Theory in Supply Chain Analysis

“…Given that the slope of each best response function is less than one everywhere, if they cross at one point then they cannot cross at an additional point. A contraction mapping argument in this form was used by Van Mieghem [97] and by Rudi et al [81].…”

Decentralized subcontractor scheduling with divisible jobs

“…While outsourcing externalizes some internal operations, subcontracting allows manufacturers to carry out jobs both internally and externally (Van Mieghem 1999). In this manner, subcontracting enables a manufacturer to speed up the completion times of his jobs.…”

Lateral capacity exchange and its impact on capacity investment decisions

“…One possible way for both firms to agree on exchanging capacity (as in a centralized system) and splitting the capacity exchange surplus is through negotiation before capacity investment decisions are made. As in Van Mieghem [23], θ i can be regarded as the "bargaining power" of firm i; the higher the value of θ i , the greater power firm i has in negotiation. Note that since capacity exchange is conducted before demand uncertainty is resolved, the split of the surplus will be in terms of "expectation".…”