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Here is the sketch of a proof. All we need is that every continuous weak order on each $X_i$ admits a continuous utility representation. One sufficient condition is that each $X_i$ is a connected separable topological space by a theorem of Eilenberg. A proof of Eilenberg's theorem is given in Debreu's book Theory of Value. Debreu assumes the domain there ...


3

In addition to @Adam Bailey's answer there is also Frank Ramsey's original paper "A mathematical theory of saving " in the economic journal. He argued that nations would at least asymptotically achieve a state of bliss, where no further growth was necessary. More precisely he states on p. 545: There are then two logical possibilities: either the ...


3

Partial and tangential answer, but no other answers so far, so here goes: For the first part of the definition (people who complete the university program do not find placement in the field), data from the Survey of Earned Doctorates may be useful, particularly "Postgraduation plans (e.g., work, postdoc, other study or training) - Type and location of ...


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In an experimental setting, how could you prevent the players from adopting a mixed strategy? I don't think you can. Restricting access to mixed strategies is essentially banning the use of any private randomization devices. But since there are various ways to perform mental coin-flips, not all of which are readily observable, it would be prohibitively ...


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What are some good Phd or research programs for Economic History / Economic Thought History? The RePEc/IDEAS website publishes various rankings in economics. I would suggest checking out their ranking of authors working in Business, Economic & Financial History or History & Philosophy of Economics and see if there are people that you'd like to work ...


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I do not have a full answer, but here are my notes when I studied it that hopefully someone can extend to a full answer. Sketch of Proof: Consider the linear space with basis $\cup_{i =1}^N X_i$, and we can identify any $x \in X$ by $\sum_i x_i$. Define the convex cone $D = \{\lambda(x-y): x\succeq y;\lambda > 0\}$ Let $D^{-}$ be the convex hull of $\{...


1

One I can introduce is " ABC of RBC " It was so helpful to me.


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There is also Felix Muñoz-Garcia: advanced microeconomic theory (this comes with a book of solved practice questions) and Silberberg: The structure of economics (old but written so well where much the needed math is explained along with the economics) For consumer choice - no firm theory - the book by Deaton and Muellbauer: Economics and consumer behavior is ...


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