Non-Joint Technologies

Kohli, Ulrich

doi:10.2307/2296966

Cited by 53 publications

(33 citation statements)

References 13 publications

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“…A large literature on functional structure and duality guides empirical formulations and testing based on concepts of nonjointness and separability (Lau 1972(Lau , 1978Blackorby, Primont, andRussell 1977, 1978;Chambers 1984). Nonjoint production processes reduce to additivity in costs (Hall 1973;Kohli 1983). Separability in a partition of inputs or outputs often results in separability in a similar partition of prices (Blackorby, Primont, and Russell 1977;Lau 1978).…”

Section: The Production Model and Two Resultsmentioning

confidence: 99%

Risk Response in Agriculture

LaFrance¹,

Pope²,

Tack³

2012

The Intended and Unintended Effects of U.S. Agricultural and Biotechnology Policies

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Section: The Production Model and Two Resultsmentioning

confidence: 99%

Risk Response in Agriculture

LaFrance¹,

Pope²,

Tack³

2012

The Intended and Unintended Effects of U.S. Agricultural and Biotechnology Policies

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“…A large literature on functional structure and duality guides empirical formulations and testing based on concepts of non-jointness and separability (Lau 1972(Lau , 1978Blackorby, Primont andRussell 1977, 1978;Chambers 1984). Non-joint production processes reduce to additivity in costs (Hall 1973;Kohli 1983). Separability in a partition of inputs or outputs often results in separability in a similar partition of prices (Blackorby, Primont and Russell 1977;Lau 1978).…”

Section: The Production Model and Two Resultsmentioning

confidence: 99%

Risk Response in Agriculture

LaFrance

Pope

Tack

2011

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Crop production is subject to supply shocks, and both expected and realized outputs as well as output prices are unknown when inputs are chosen. The process by which producers form expectations is difficult to model, especially when working with aggregate data. We present a necessary and sufficient condition on cost and technology to allow variable input demand equations to be specified as functions of input prices, quasi-fixed inputs, and total variable cost. These all are observable when inputs are committed to production, so that ex ante demands can be estimated with observable data. A flexible, exactly aggregable, and economically regular model of variable input demands is derived and applied to aggregate U.S. agricultural data for the period 1960-1999. We use the empirical results of this model to aid in the specification of a dynamic life-cycle model for agricultural producers facing output and output price risk, with investment in an off-farm, conditionally risk free asset, risky financial assets, savings, consumption, and agricultural production opportunities. This framework admits a coherent, structural, econometric model of input use, output production, savings, investment, and consumption for agricul-ture. We apply this model to U.S. data for the period 1960-1999. Ongoing work focuses on updating the data set to the 21st century and applying both components of the model at the state-level.

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“…These properties are perfectly general, and they must be satisfied by any well behaved technology. Hall (1973) and Kohli (1983) have shown that in the case of nonjoint production, additional restrictions on the Hessians of RðÁÞ and/or CðÁÞ can be found. Proposition 1 (Proposition 2) implies that R pp (C yy ) and R xx (C ww ) are at most of rank I À 1 and J À 1, respectively.…”

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confidence: 99%

“…It is the case of nonjoint production in input quantities and output prices (Leontief technology), and it has been discussed by Shephard (1970) and Hall (1973), among others. Structure (Bc) is the case of nonjoint production in input prices as defined by Kohli (1983;1985) and Chambers (1988), and it describes a situation where two outputs are produced with two public inputs. Production structure (Cb) is the case of nonjoint production in output prices, and it has been dubbed the production stations model by Kohli (1994).…”

mentioning

confidence: 99%

“…It describes a situation where each output must be processed by each factor separately, and where each factor is characterized by its own neoclassical transformation function. Structure (Ca) corresponds to the case of nonjoint production in output quantities, as defined by Lau (1972), Kohli (1983;1994;1995), and Chambers (1988), and it fits a situation where each input is fully capable of producing every output on its own. The total supply of outputs is therefore simply equal to the sum of the outputs produced by the individual inputs.…”

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confidence: 99%

See 1 more Smart Citation

Joint Production and the Structure of Technology: A Generalization

Kohli

2005

J. Econ.

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In this paper, we have a peek inside the black box of technology in an attempt to get a better understanding of the concept of joint production. We introduce the notion of input and output subtechnologies; these are then used as building blocks to define various types of production processes, either joint or nonjoint. Thus, in the 2 Â 2 case, we are able to identify up to 36 different production structures, some of which are well known, but most of which are new. These are all described in the primal quantity space as well as in the dual price space. Comparative statics results for the 2 Â 2 joint production process are derived.

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Non-Joint Technologies

Cited by 53 publications

References 13 publications

Risk Response in Agriculture

Risk Response in Agriculture

Risk Response in Agriculture

Joint Production and the Structure of Technology: A Generalization

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