Production Function w/ Effective Labor
technological progress (A) -
- could result from better efficiency, higher quality, new products, more variety of products, etc
- state of technology - variable representing how much output can be produced from given amounts of capital, labor
- Y = F(K,N,A) = F(K,AN)
- AN = effective labor, how many virtual workers are available
- assuming constants returns to scale: xY = F(xF, xAN)
- Y/(AN) = F(K/(AN), 1) = f(K/(AN))
- terms calculated per effective worker
output vs capital - follows same rules as previous model w/o technological progress
- only main difference is that terms calculated per effective worker (/AN) instead of per worker (/N)
- investment - must account for depreciation, growth in population, technological progress
- (d + gA + gN)K
- gA - growth of technology
- gN - growth of population
- steady state
- output per effective worker (f(K/AN))
- required investment ((d + gA + gN)K /AN)
- investment (sf(K/AN))
- at steady state, Y/AN and K/AN is constant, so Y and K growing at same rate as AN >> Y and K growing at rate (gA+gN) at steady state
Subject:
Economics [1]
Subject X2:
Economics [1]