TY - JOUR
T1 - Coase meets Bellman
T2 - Dynamic programming for production networks
AU - Kikuchi, Tomoo
AU - Nishimura, Kazuo
AU - Stachurski, John
AU - Zhang, Junnan
N1 - Funding Information:
We gratefully acknowledge valuable comments from our editors and referees, as well as Pol Antràs, Yongsung Chang, Davin Chor, Ryo Jinnai, Young Sik Kim, Yuta Takahashi and Makoto Saito. We also acknowledge financial support from Korea University ( K1922081 ), BrainKorea21 Plus ( K1327408 and T192201 ), JSPS Grant-in-Aid for Scientific Research ( 20H05633 and 16H03598 ), Ministry of Education - Singapore Academic Research Fund R-122-000-140-112 and Australian Research Council Award DP120100321 .
Publisher Copyright:
© 2021 Elsevier Inc.
PY - 2021/9
Y1 - 2021/9
N2 - We show that competitive equilibria in a range of models related to production networks can be recovered as solutions to dynamic programs. Although these programs fail to be contractive, we prove that they are tractable. As an illustration, we treat Coase's theory of the firm, equilibria in production chains with transaction costs, and equilibria in production networks with multiple partners. We then show how the same techniques extend to other equilibrium and decision problems, such as the distribution of management layers within firms and the spatial distribution of cities.
AB - We show that competitive equilibria in a range of models related to production networks can be recovered as solutions to dynamic programs. Although these programs fail to be contractive, we prove that they are tractable. As an illustration, we treat Coase's theory of the firm, equilibria in production chains with transaction costs, and equilibria in production networks with multiple partners. We then show how the same techniques extend to other equilibrium and decision problems, such as the distribution of management layers within firms and the spatial distribution of cities.
KW - Dynamic programming
KW - Negative discounting
KW - Production chains
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U2 - 10.1016/j.jet.2021.105287
DO - 10.1016/j.jet.2021.105287
M3 - Article
AN - SCOPUS:85108145462
SN - 0022-0531
VL - 196
JO - Journal of Economic Theory
JF - Journal of Economic Theory
M1 - 105287
ER -