6. In an Edgeworth box for two consumers, A and B, with endowments of = commodities Xa and d Ya are A's endowments, Xb and Yb are B's, and Xo = Xa + Xb, Yo Ya + Yb), the competitive equilibrium allocation of the two commodities represents a mutual tangency of both consumers' indifference curves with each other and with a common budget line. (a) The conditions require that A and B consume at a point on their budget lines where their indifference curves have the same marginal rate of substitution. and equilibrium for the market as a whole requires that the sum of the individuals' demands for each commodity must equal the totals (Xo and Yo) available. Mathematically express the point of equilibrium, that is, express the above statement with equations in relating each endowments, equilibrium points (Xa, Xb, Ya, Yb), and totals ((Xo, Yo).

Microeconomic Theory
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ISBN:9781337517942
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Chapter13: General Equilibrium And Welfare
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6. In an Edgeworth box for two consumers, A and B, with endowments of
commodities Xa and d Ya are A's endowments, Xb and Yb are B's, and Xo =
Xa + Xb, Yo = Ya + Yb), the competitive equilibrium allocation of the two
commodities represents a mutual tangency of both consumers' indifference curves
with each other and with a common budget line.
(a) The conditions require that A and B consume at a point on their budget lines
where their indifference curves have the same marginal rate of substitution.
and equilibrium for the market as a whole requires that the sum of the
individuals' demands for each commodity must equal the totals (Xo and Yo)
available.
Mathematically express the point of equilibrium, that is, express the above
statement with equations in relating each endowments, equilibrium points (Xa,
Xb, Ya, Yb), and totals ((Xo, Yo).
Transcribed Image Text:6. In an Edgeworth box for two consumers, A and B, with endowments of commodities Xa and d Ya are A's endowments, Xb and Yb are B's, and Xo = Xa + Xb, Yo = Ya + Yb), the competitive equilibrium allocation of the two commodities represents a mutual tangency of both consumers' indifference curves with each other and with a common budget line. (a) The conditions require that A and B consume at a point on their budget lines where their indifference curves have the same marginal rate of substitution. and equilibrium for the market as a whole requires that the sum of the individuals' demands for each commodity must equal the totals (Xo and Yo) available. Mathematically express the point of equilibrium, that is, express the above statement with equations in relating each endowments, equilibrium points (Xa, Xb, Ya, Yb), and totals ((Xo, Yo).
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