 In this module, we are going to study the assumptions of consumer preference ordering and the second assumption we are going to study is the transitivity transitivity basically derived from transition in which if we look at the transition, it is said that it converts from one thing to another we have decided till now that the consumption of bundles comparison when the consumer does it is between two and in transitivity we are talking about three bundles but these three bundles will not be simultaneously compared in fact, one of these three bundles is compared to two bundles and then one of those bundles is compared to the other one so basically comparison of two bundles at a one time and then again the two bundles at the other time is the essence of this assumption now if we look at the transitivity explain what it does so we have said that we assume that the way it has bundles first we have said x prime 1 which we say in simple form that we apply a dash on x one x double prime and now one has x triple prime or we say that it has three bundles a, b and c so if we look at those three bundles now then we say that if its bundle x prime is preferred to bundle x double prime and on the other hand the x double prime bundle is preferred on x triple prime so this will be a map so if we say that automatically the first bundle x triple prime will be showing preference and similarly if it has a combination of two, three bundles and it becomes a big bundle of axia in which we say that x1, x2 bundle is complete y1, y2 bundle is also complete and now what it is doing is on the other bundle which is y1, y2 and z1, z2 it is preferring this so we can say that the first bundle x1, x2 will prefer z1, z2 now similarly if we use notation a, b, c we use x prime, x double prime, x triple prime or we say that we use x, y and z so if we look here then we will make a promise that we will say that x1, x2 is preferred on y1, y2 and y1, y2 is preferred on z1, z2 similarly we will say that x1, x2 is preferred on z1, z2 so this assumption which logically consumption bundle's commodities for selection is very important because if we cannot do this form then we cannot rank axia now similarly if we see that we have a bundle in which we say that x prime and x double prime are different than preferred and because this means that the x double prime is giving notation to that set similarly x double prime is different x triple prime so similarly if we see that this behavior is same now we can say that the x prime is between the x triple prime there will be no fociate then there will be a contradiction so here if we see then behavior's transitivity is basically that if between two bundles there is a preference and between the next two bundles there is a preference and between these two bundles there is one bundle and similarly if those first two bundles are indifferent and one of those bundles is the end of our third bundle and that too is indifferent so this behavior of consumer goes ahead but in this assumption we need to keep in mind that any which is one bundle that no bundle can belong to more than one indifferent set if it is given in one indifferent set then it will be present there and if it is in the second bundle then it will be there then it will come in combination of those two it is not possible that it can be found everywhere