Hervés, CarlosMoreno, EmmaNúñez, Carmelo2012-09-272012-09-272003Decisions in Economics and Finance. 2003, vol 26, nº 1, p.19-381129-6569https://hdl.handle.net/10016/5481The original publication is available at www.springerlink.comWe consider an atomless economy in which the continuum of agents is represented by a real interval. By dividing the interval and associating to every agent in each subinterval the same initial endowments and preferences, we define sequences of discrete economies as approximations to the initial continuum economy. We obtain convergence results for the core (or, alternatively, for the set of Walrasian allocations) of the continuum economy in terms of the cores of the approximating discrete economies. Finally, we state some counterexamples which provide a boundary for more general results in this framework.application/pdftext/plaineng©SpringerDiscrete representationsContinuum economyresearch articleD59D49D00D11Economía10.1007/s102030300001open access19138Decisions in Economics and Finance26