# A discrete multivariate mean value theorem with applications

## Author

## Abstract

## Suggested Citation

**A discrete multivariate mean value theorem with applications**," European Journal of Operational Research, Elsevier, vol. 192(2), pages 374-381, January.

*RePEc:eee:ejores:v:192:y:2009:i:2:p:374-381*

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## Other versions of this item:

- Talman, A.J.J. & Yang, Z.F., 2006.
"
**A Discrete Multivariate Mean Value Theorem with Applications**," Discussion Paper 2006-106, Tilburg University, Center for Economic Research.

## References listed on IDEAS

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- Carmen Bevia & Martine Quinzii & JosŽ A. Silva, "undated".
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- van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2005.
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**Computing Integral Solutions of Complementarity Problems**," Discussion Paper 2005-5, Tilburg University, Center for Economic Research.- van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2007.
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**Computing integral solutions of complementarity problems**," Other publications TiSEM 6f3abdc6-b961-4466-8e60-2, Tilburg University, School of Economics and Management. - Gerard van der Laan & Dolf Talman & Zaifu Yang, 2005.
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**Computing Integral Solutions of Complementarity Problems**," Tinbergen Institute Discussion Papers 05-006/1, Tinbergen Institute.

- van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2007.
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- van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2007.
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**A vector labeling method for solving discrete zero point and complementarity problems**," Other publications TiSEM 070869d0-4e42-4d34-85f9-b, Tilburg University, School of Economics and Management. - Kaneko, Mamoru & Yamamoto, Yoshitsugu, 1986.
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**The existence and computation of competitive equilibria in markets with an indivisible commodity**," Journal of Economic Theory, Elsevier, vol. 38(1), pages 118-136, February. - Herings P. Jean-Jacques & Koshevoy Gleb A. & Talman Dolf & Yang Zaifu, 2002.
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**A General Existence Theorem of Zero Points**," Research Memorandum 055, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).- Herings, P.J.J. & Koshevoy, G.A. & Talman, A.J.J. & Yang, Z.F., 2002.
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**A General Existence Thorem of Zero Points**," Discussion Paper 2002-107, Tilburg University, Center for Economic Research. - Herings, P. Jean-Jacques, 2017.
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**A general existence theorem of zero points**," Center for Mathematical Economics Working Papers 343, Center for Mathematical Economics, Bielefeld University. - Herings, P.J.J. & Koshevoy, G.A. & Talman, A.J.J. & Yang, Z.F., 2004.
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**A general existence theorem of zero points**," Other publications TiSEM 2670fc3a-b991-4443-a8fb-3, Tilburg University, School of Economics and Management.

- Herings, P.J.J. & Koshevoy, G.A. & Talman, A.J.J. & Yang, Z.F., 2002.
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- Gerard van der Laan & Dolf Talman & Zaifu Yang, 2005.
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**Solving Discrete Zero Point Problems with Vector Labeling**," Tinbergen Institute Discussion Papers 05-106/1, Tinbergen Institute.- van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2005.
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**Solving Discrete Zero Point Problems with Vector Labeling**," Discussion Paper 2005-122, Tilburg University, Center for Economic Research.

- van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2005.
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**A discrete fixed point theorem and its applications**," Journal of Mathematical Economics, Elsevier, vol. 39(7), pages 725-742, September. - van der Laan, Gerard & Talman, Dolf & Yang, Zaifu, 2002.
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**Existence and Welfare Properties of Equilibrium in an Exchange Economy with Multiple Divisible and Indivisible Commodities and Linear Production Technologies**," Journal of Economic Theory, Elsevier, vol. 103(2), pages 411-428, April. - Iimura, Takuya & Murota, Kazuo & Tamura, Akihisa, 2005.
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**Discrete fixed point theorem reconsidered**," Journal of Mathematical Economics, Elsevier, vol. 41(8), pages 1030-1036, December. - van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2002.
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**Existence and welfare properties of equilibrium in an exchange economy with multiple divisible and indivisible commodities and linear production**," Other publications TiSEM 5a5610bf-4f85-4a25-963c-c, Tilburg University, School of Economics and Management. - Herbert E. Scarf, 1967.
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**The Approximation of Fixed Points of a Continuous Mapping**," Cowles Foundation Discussion Papers 216R, Cowles Foundation for Research in Economics, Yale University. - Gul, Faruk & Stacchetti, Ennio, 1999.
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**Walrasian Equilibrium with Gross Substitutes**," Journal of Economic Theory, Elsevier, vol. 87(1), pages 95-124, July. - Ning Sun & Zaifu Yang, 2006.
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**Equilibria and Indivisibilities: Gross Substitutes and Complements**," Econometrica, Econometric Society, vol. 74(5), pages 1385-1402, September. - Kelso, Alexander S, Jr & Crawford, Vincent P, 1982.
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**Equilibrium in an exchange economy with multiple indivisible commodities and money**," Journal of Mathematical Economics, Elsevier, vol. 33(3), pages 353-365, April.

**Full references**(including those not matched with items on IDEAS)

## Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
**Cited by:**

- van der Laan, Gerard & Talman, Dolf & Yang, Zaifu, 2011.
"
**Solving discrete systems of nonlinear equations**," European Journal of Operational Research, Elsevier, vol. 214(3), pages 493-500, November.- van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2008.
"
**Solving Discrete Systems of Nonlinear Equations**," Discussion Paper 2008-105, Tilburg University, Center for Economic Research. - Gerard van der Laan & Dolf Talman & Zaifu Yang, 2009.
"
**Solving Discrete Systems of Nonlinear Equations**," Tinbergen Institute Discussion Papers 09-062/1, Tinbergen Institute. - van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2011.
"
**Solving discrete systems of nonlinear equations**," Other publications TiSEM 81f0a46c-3c9d-4757-bfa1-0, Tilburg University, School of Economics and Management.

- van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2008.
"
- repec:spr:joptap:v:144:y:2010:i:2:d:10.1007_s10957-009-9603-7 is not listed on IDEAS
- repec:jmi:articl:jmi-v1i1a5 is not listed on IDEAS
- van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2010.
"
**Combinatorial integer labeling theorems on finite sets with applications**," Other publications TiSEM ad8b5690-7516-41b6-b034-7, Tilburg University, School of Economics and Management.

## More about this item

### Keywords

Discrete set Mean value theorem Fixed point Algorithm Equilibrium Complementarity;### JEL classification:

**C61**- Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis**C62**- Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium**C68**- Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models**C72**- Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games**C58**- Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics

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