共查询到20条相似文献,搜索用时 14 毫秒
1.
P. Jean-Jacques Herings 《Economic Theory》1997,10(2):361-367
Summary. An extremely simple proof of the K-K-M-S Theorem is given involving only Brouwer’s fixed point theorem and some elementary
calculus. A function is explicitly given such that a fixed point of it yields an intersection point of a balanced collection
of sets together with balancing weights. Moreover, any intersection point of a balanced collection of sets together with balancing
weights corresponds to a fixed point of the function. Furthermore, the proof can be used to show -balanced versions of the K-K-M-S Theorem, with -balancedness as introduced in Billera (1970). The proof makes clear that the conditions made with respect to by Billera can be even weakened.
Received: January 22, 1996; revised version June 9, 1996 相似文献
2.
3.
In this paper we present a simple and short proof of Nataf's theorem on consistent aggregation for the case that all functions involved have non-zero first derivatives. 相似文献
4.
Jacques Crémer 《Journal of Economic Theory》1982,27(2):439-443
This note presents a simple proof of Blackwell's well-known theorem on the equivalence of two orderings of experiments, one based on the statistical concept of sufficiency, and the other on the economic concept of the value to the decision makers. 相似文献
5.
A short proof of more general version of Harsanyi's purification theorem is provided through an application of a powerful, yet intuitive, result from algebraic topology. 相似文献
6.
Summary We provide elementary proofs of Scarf's theorem on the non-emptiness of the core and of the K-K-M-S thoerem, based on Kakutani's fixed point theorem. We also show how these proofs can be modified to apply a coincidence theorem of Fan instead of Kakutani's fixed point theorem, for some additional simplicity.The results presented here were first reported in Shapley (1987) and Vohra (1987). A version of our proof of Theorem 1 has also been presented in a recent book by C.D. Aliprantis, D.J. Brown and O. Burkinshaw,Existence and Optimality of Competitive Equilibria (1989) Springer-Verlag. We are grateful to Ky Fan, Wanda Gorgol, Tatsuro Ichiishi and Ali Khan for comments on earlier drafts. Vohra's research has been supported in part by NSF grant SES-8605630. 相似文献
7.
John Duggan 《Economic Theory》1996,7(2):365-369
Summary Gibbard has shown that a social choice function is strategy-proof if and only if it is a convex combination of dictatorships and pair-wise social choice functions. I use geometric techniques to prove the corollary that every strategy-proof and sovereign social choice function is a random dictatorship.I thank Kim Border for several useful discussions and many insightful comments. 相似文献
8.
Mihai Manea 《Journal of Economic Theory》2008,141(1):276-281
We provide a non-geometric constructive short proof of the ordinal efficiency welfare theorem. 相似文献
9.
Ning Neil Yu 《Economic Theory》2012,50(2):523-525
We offer a new proof of the well-known Arrow??s impossibility theorem. The proof is simple, very short and it follows from the assumptions in a transparent way. 相似文献
10.
P.C.B. Phillips 《Economics Letters》1982,9(1):57-59
This note provides a simple proof of the formula for the partial derivatives of the latent roots of a matrix with respect to its coefficients. 相似文献
11.
12.
Takashi Kamihigashi 《Economic Theory》2002,20(2):427-433
Summary. This note provides a simple proof of the necessity of the transversality condition for the differentiable reduced-form model.
The proof uses only an elementary perturbation argument without relying on dynamic programming. The proof makes it clear that,
contrary to common belief, the necessity of the transversality condition can be shown in a straightforward way.
Received: January 22, 2001; revised version: April 2, 2001 相似文献
13.
Salvador Barberá 《Economics Letters》1980,6(1):13-16
This paper presents a new proof of Arrow's ‘General Possibility Theorem’, focusing on the way how ‘social’ preferences change in response to changes in the preferences of individuals, under given social welfare functions. 相似文献
14.
Koji Shimomura 《Economic Theory》1999,14(2):501-503
Summary. Based on some elementary results on duality, the paper proposes a much simpler way of deriving the class of non-homothetic
CES production functions which was derived as a solution to a partial differential equation that defines the elasticity of
substitution.
Received: February 11, 1998; revised version: April 28, 1998 相似文献
15.
Uriel G. Rothblum 《Economics Letters》1985,19(2):137-139
We obtain a simple direct proof of the Kleinberg-Weiss representation of the Shapley value. 相似文献
16.
>P>Summary. We provide a set of simple and intuitive set of axioms that allow for a direct and constructive proof of the Choquet Expected
Utility representation for decision making under uncertainty.
Received: October 29, 2002; revised version: November 13, 2002
RID="*"
ID="*" We thank Matthew Ryan for very useful comments and suggestions on related work and for encouraging us to write this
note.
Correspondence to: S. Grant 相似文献
17.
Walter Trockel 《Economic Theory》1992,2(2):298-302
Summary The paper presents an alternative short proof for the linear utility representation theorem. In particular a generalization of the theorem of Blackwell and Girshick (1954) and a special case of the theorem of Herstein and Milnor (1953) are proved by exploiting the topological group structure of finite-dimensional Euclidean vector space.I thank two careful referees for their helpful remarks. 相似文献
18.
Yoshihiko Otani 《Journal of Economic Theory》1982,27(2):430-438
We provide a simple proof of a version of the so-called strong LeChatelier-Samuelson principle particularly suitable for the application to the theory of cost and production. We will illustrate its usefulness and fundamental nature in the case of the classical theory of cost and production. 相似文献
19.
《Journal of Economic Theory》1987,41(1):211-215
This paper deals with the question whether in optimal control problems with one state variable cyclical solutions and other nonmonotonicities can be optimal. It is shown that this can only occur if exogeneous shocks are brought into the model while for autonomous problems the state trajectory must always be monotonic. The proof also applies for nondifferentiable control problems as it does not use any regularity assumptions for the model functions. 相似文献