This paper develops a theoretical framework for modeling farm households' joint production and consumption decisions in the presence of technical inefficiency. Following Lopez (1984), a household model where farmers display different preferences between on-farm and off-farm labor is adopted while their production activity can be subject to technical inefficiency. The presence of technical inefficiency does not only lead to the inability of farmers to achieve maximal output but it will also affect the consumption allocation and the household's labor supply decisions through its effect on both income and on the shadow price of on-farm labor, leading to overall household inefficiency.
This paper develops a consistent theoretical framework for measuring irrigation water effectiveness and its impact on productivity growth rates by assuming a smooth transition process from traditional to modern irrigation technologies among individual farmers.
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