Existence of Equilibrium for Integer Allocation Problems
AbstractIn this paper we show that if all agents are equipped with well-behaved discrete concave production functions, then a feasible price allocation pair is a market equilibrium if and only if it solves a linear programming problem. Using this result we are able to obtain a necessary and sufficient condition for existence that requires an equilibrium price vector to satisfy finitely many inequalities. A necessary and sufficient condition for the existence of market equilibrium when the maximum value function is Weakly Monotonic at the initial endowment that follows from our results is that the maximum value function is partially concave at the initial endowment. We also provide a discussion of the results and an alternative solution concept. The alternative solution concept is however, informationally and computationally inefficient.
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Bibliographic InfoPaper provided by Society for Computational Economics in its series Computing in Economics and Finance 2006 with number 8.
Date of creation: 04 Jul 2006
Date of revision:
existence; market equilibrium; discrete concave; linear programming;
Other versions of this item:
- Somdeb Lahiri, 2006. "Existence of Equilibrium for Integer Allocation Problems," Economics Bulletin, AccessEcon, vol. 28(14), pages A0.
- C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
This paper has been announced in the following NEP Reports:
- NEP-ALL-2006-07-15 (All new papers)
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