1. Tit-for-tat strategies drive growth and inequality in production economies.
- Author
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Branzei, Simina, Mehta, Ruta, and Nisan, Noam
- Subjects
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LETTING of contracts , *BIDS , *PRODUCT returns , *GLOBAL method of teaching , *NEIGHBORS - Abstract
We consider production economies where multiple agents make goods according to their inherent production recipe. Daily agents bring goods to the market along with a monetary budget that they allocate across these goods in competitive bids. Goods are distributed in proportion to the bids they attract, with sellers collecting the corresponding revenues. Agents then use their acquired bundles as raw ingredients for the next day's production. We analyse a dynamic known as proportional response, where agents adjust their bids on goods proportionally to returns on past investments: a tit-for-tat like market behaviour. We show these dynamics lead to growth of the economy, whenever growth is feasible within the parameters of the model. The dynamics implicitly learn a key global feature of the network—the most efficient production cycles—through local interactions among the agents who communicate only with their immediate neighbours, with information flowing across the network edges. However, the dynamics also lead to unbounded inequality, i.e. very rich and very poor agents emerge and the gaps between their fortunes expand over time. We analyse several other phenomena, such as the existence of free-riding in star networks, where an agent may have growing fortune without participating in any efficient production cycle if they have strong enough connections with the centre. [ABSTRACT FROM AUTHOR]
- Published
- 2025
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