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LECCION 3 . LA ELECCIÓN DEL CONSUMIDOR

LECCION 3 . LA ELECCIÓN DEL CONSUMIDOR. José L. Calvo. EL EQUILIBRIO DEL CONSUMIDOR. Solución Matemática. Maximizar U = U(X 1 ,X 2 ) sujeto a: p 1 X 1 +p 2 X 2 = m Solución interior : RMS = UM 1 /UM 2 = p 1 /p 2 Funciones de demanda: X 1 = X 1 (p 1 ,p 2 ,m) ; X 2 = X 2 (p 1 ,p 2 ,m).

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LECCION 3 . LA ELECCIÓN DEL CONSUMIDOR

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  1. LECCION 3.LA ELECCIÓN DEL CONSUMIDOR José L. Calvo

  2. EL EQUILIBRIO DEL CONSUMIDOR. Solución Matemática. Maximizar U = U(X1,X2) sujeto a: p1X1 +p2X2 = m • Solución interior: RMS = UM1/UM2 = p1/p2 • Funciones de demanda: X1 = X1(p1,p2,m) ; X2 = X2(p1,p2,m)

  3. EL EQUILIBRIO DEL CONSUMIDOR. Solución Gráfica. X2 m/p2 E0 X20 I2 I1 I0 X10 m/p1 X1

  4. Bienes Sustitutos Perfectos (1). • Función de Utilidad: U = aX1+bX2 • Equilibrio: RMS = a/b >< p1/p2 (1) RMS > p1/p2 • Funciones de demanda: X1 = m/p1; X2 = 0 X2 I1 m/p2 I0 E0 X1 m/p1

  5. Bienes Sustitutos Perfectos (2). • Función de Utilidad: U = aX1+bX2 • Equilibrio: RMS = a/b >< p1/p2 (2) RMS < p1/p2 • Funciones de demanda: X1 = 0 ; X2 = m/p2 X2 E0 m/p2 I1 I0 X1 m/p1

  6. Bienes Sustitutos Perfectos (3). • Función de Utilidad: U = aX1+bX2 • Equilibrio: RMS = a/b >< p1/p2 (3) RMS = p1/p2 • Funciones de demanda: X1m/p1; X2m/p2 X2 m/p2 I0 X1 m/p1

  7. Bienes Complementarios Perfectos. • Función de Utilidad: U = min{aX1,bX2} • Funciones de demanda como solución de: aX1 = bX2 p1X1+p2X2 = m X2 aX1 = bX2 m/p2 E0 X20 I1 I0 X1 X10 m/p1

  8. Preferencias Cuasilineales. X2 • Función de Utilidad: U = v(X1) +bX2 • Equilibrio: RMS = v´(X1)/a = p1/p2 • Funciones de demanda: X1 = X1(p1,p2) X2 = X2(p1,p2,m) m/p2 E0 X20 I1 I0 X1 m/p1 X10

  9. Preferencias Regulares. • Función de Utilidad: U = (X1- c)a (X2- d)b • Equilibrio: RMS = a(X1- c)a-1/b(X2- d)b-1 • Funciones de demanda: X1 = c + a(m – p1c- dp2)/(a+b)p1 X2 = d + b(m - p1c- dp2)/(a+b)p2 X2 m/p2 X20 E0 I1 I0 m/p1 X1 X10

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