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Finally, DoD contracting practice would be greatly enriched by viewing defense<br />

transactions through the lens of TCE. An important insight is the opportunity to craft<br />

contracts based on the potential for opportunistic behavior, in addition to varying incentives<br />

based on shifting risk. Where there is significant scope for opportunistic behavior, contracts<br />

should pay special attention to the use of additional mechanisms to govern the outsourcing<br />

relationship. This suggests that existing guidance on contract types should be extensively<br />

revisited—an important first step in translating the theoretical insights of TCE into DoD<br />

practice.<br />

APPENDIX A. A TCE BARGAINING GAME MODEL<br />

A game is developed between two parties in a transaction (i=1,2) whose combined<br />

productive efforts endogenously generate the surplus:<br />

(1)<br />

S = Ae<br />

α α<br />

e<br />

1 2<br />

1 2<br />

; where the standard Cobb-Douglas assumptions are satisfied.<br />

In the case of government outsourcing, the two parties could be an internal<br />

government customer and external private contractor.31 Each player can also engage in<br />

unproductive bargaining, bi. This influence and rent-seeking activity consists of measures<br />

and counter-measures designed to preserve, capture or extract a larger share of the<br />

surplus. While effort expands S for both parties in the transaction, bargaining determines the<br />

share each player realizes. The combined costs of engaging in productive and unproductive<br />

activities (to generate and capture the surplus respectively) are assumed to dilute the share<br />

of surplus enjoyed by each player.<br />

Player 1 chooses productive effort, e1, and unproductive bargaining, b1, to maximize<br />

his utility function:<br />

(2a) U1 =<br />

[ 1/<br />

2<br />

σ σ<br />

2 2<br />

+ ( b 1 − b2<br />

) − ( 1/<br />

2)(<br />

γ 1b1<br />

+ β1e1<br />

)] S<br />

;<br />

Similarly, player 2 chooses e2 and b2 to maximize her utility function:<br />

(2b) U2 =<br />

[ 1/<br />

2<br />

σ σ<br />

2 2<br />

+ ( b 2 − b1<br />

) − ( 1/<br />

2)(<br />

γ 2b2<br />

+ β2e2<br />

)] S<br />

.<br />

The first two terms in brackets in (2a,b) represent the net benefit to each player<br />

derived from bargaining over his share of the surplus, S. The last term represents the<br />

quadratic costs to each player of engaging in unproductive bargaining activities and<br />

productive efforts (respectively), as a share of S.<br />

31 For instance, consider a government customer (or principal) that actively revises rules and regulations to allow<br />

more economical or flexible procurement on the part of a private contractor (or agent). This productive effort<br />

could lower the agent’s input costs, thereby contributing to joint savings or a surplus. Meanwhile, suppose the<br />

agent simultaneously engages in productive investments in human capital or new processes that further<br />

contribute to the surplus. “By exerting effort the [agent] can hold down its realized costs. For example, it can, at<br />

some cost to itself, search for lower-priced raw materials…or it can manage its…inventories so that it is not left<br />

holding excessive stocks” (McAfee & McMillan, 1988, p.17). The challenge remains how any gains, savings or<br />

surpluses are shared between the principal and the agent.<br />

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