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Credibility, transparency, and sustainability in fashion: a game-theoretic perspective

Published online by Cambridge University Press:  19 December 2022

Olivia Nandkeolyar
Affiliation:
Department of Economics & Department of Politics & International Affairs, Wake Forest University, Winston-Salem, NC 27109, USA
Frederick Chen*
Affiliation:
Department of Economics, Wake Forest University, Winston-Salem, NC 27109, USA
*
*Corresponding author: Frederick Chen, Email: chenfh@wfu.edu
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Abstract

We present a game-theoretic model of a firm’s production decision to analyze the conditions under which the firm would engage in sustainable practices when there exists a certification agency that can audit the firm. Our results show that when the certification agency is firm-owned or when it is an independent, profit-maximizing entity, then there is no equilibrium in which the firm chooses to produce in a sustainable manner. We also present real-world examples from the apparel and footwear industry, as well as the mining industry, that are consistent with our theoretical results. We consider what would happen if the certification agency is government-operated or a non-profit organization with a mandate to monitor the firm’s production process. We show that – combined with tax incentives or subsidies for the firm if necessary, and greater specificity regarding what is sustainable – there exists an equilibrium in which the firm would choose to engage in sustainable production in this case. We analyze extensions of the model to examine conditions under which the phenomenon of greenwashing can arise as an equilibrium outcome. We also propose a “bounty system” that the government can implement to incentivize monitoring of firms’ production processes, and we show how such a policy can induce more sustainable production practices by the firm.

Information

Type
Research Article
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.
Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of the Northeastern Agricultural and Resource Economics Association
Figure 0

Figure 1. Game tree for our model of sustainable production. The firm is denoted by “F”; the certification agency is denoted by “C”; and the consumers or buyers are denoted by “B.” The dashed lines indicate information sets – two decision nodes for a player belong to the same information set if the player cannot distinguish between those two nodes (which occurs when there is a lack of information). Payoffs for specific situations are given in the following texts and figures.

Figure 1

Figure 2. Game tree with a firm-owned certification agency. Payoffs are shown for each possible outcome. The number on top is the firm’s payoff, while the number on the bottom is the certification agency’s payoff. Because the certification agency is merely an extension of the firm itself, the payoff of the agency is identical to that of the firm. Since the certification agency is part of the firm, the agency has perfect information regarding the mode of production that the firm chooses in decision node 1. Because the firm strategy (Sustainable, Not seek certification) can never be optimal, that branch has been removed from the game tree.

Figure 2

Figure 3. Game tree with an independent private certification agency. Because the firm strategy (Sustainable, Not seek certification) can never be optimal, that branch has been removed from the game tree.

Figure 3

Figure 4. The game tree when the government serves as the certification agency and always chooses to monitor. Only the payoffs for the firm are shown since the certification agency in this case is not considered a “strategic” entity. It is assumed that once the government monitors the firm’s production process, it chooses “Certify” or “Not certify” truthfully, that is, the government certification agency’s action is a perfect signal of the firm’s product type. Therefore, the branches corresponding to the agency not monitoring or not certifying truthfully have been removed from the game tree. Because the firm strategy (Sustainable, Not seek certification) can never be optimal, that branch has also been removed from the game tree.

Figure 4

Figure 5. The game tree when the government serves as the certification agency and seeks to maximize social surplus. Because the firm strategy (Sustainable, Not seek certification) can never be optimal, that branch has been removed from the game tree.

Figure 5

Figure 6. The game tree when the government serves as the certification agency and seeks to maximize social surplus. The government agency derives an additional benefit T when it provides truthful certification: monitoring and certifying when the firm produces sustainably, or monitoring and not certifying when the firm produces non-sustainably. Because the firm strategy (Sustainable, Not seek certification) can never be optimal, that branch has been removed from the game tree.

Figure 6

Figure 7. Game tree with an independent private certification agency when it derives an “ethical benefit” from monitoring. Because the firm strategy (Sustainable, Not seek certification) can never be optimal, that branch has been removed from the game tree.

Figure 7

Figure 8. Game tree when the government provides a reward of R to the certification agency when it can prove that the firm produced its product sustainably. Because the firm strategy (Sustainable, Not seek certification) can never be optimal, that branch has been removed from the game tree.

Figure 8

Figure 9. Game tree when the government provides a reward of R to the certification agency when it can prove that the firm did not produce its product sustainably when the firm seeks certification. Because the firm strategy (Sustainable, Not seek certification) can never be optimal, that branch has been removed from the game tree.