## 95 Citations

Time consistent Markov policies in dynamic economies with quasi-hyperbolic consumers

- EconomicsInt. J. Game Theory
- 2015

This work proves existence of time-consistent solutions in Markovian policies, and provides conditions for the existence of continuous and monotone equilibria, and presents a simple successive approximation scheme for computing extremal equilibrium.

Reverse Mathematics and Countable Algebraic Systems

- Mathematics
- 2016

This thesis is a contribution to the foundation of mathematics, especially to the Reverse Mathematics program, whose core question is “What are the appropriate axioms to prove each mathematical…

Some aspects of fixed point theory

- Mathematics
- 2000

Most of m a t h e m a t i c s is focussed o n the solut ion of various equat ions involving numbers . For example , for given real number s a and b with a # 0 the l inear equa t ion ax + b = 0 has a…

Dedekind Completeness and a Fixed-Point Theorem

- MathematicsCanadian Journal of Mathematics
- 1957

McShane (5, 6) has introduced the concept of “Dedekind completeness” for partially ordered sets, which seems to be a natural generalization of the usual concept of completeness for lattices. It is…

A LATTICE-THEORETICAL FIXPOINT THEOREM AND ITS APPLICATIONS

- Mathematics
- 1955

1. A lattice-theoretical fixpoint theorem. In this section we formulate and prove an elementary fixpoint theorem which holds in arbitrary complete lattices. In the following sections we give various…

Fixed points and completeness in metric and in generalized metric spaces

- Mathematics
- 2015

The famous Banach Contraction Principle holds in complete metric spaces, but completeness is not a necessary condition – there are incomplete metric spaces on which every contraction has a fixed…

Acyclicity of Monotonic Endomorphisms ∗

- Computer Science
- 2004

An abstract theory of improvement dynamics for binary relations in topological spaces is developed, providing a general framework for studying various improvement relations and tâtonnement processes…

Corrigendum to “Existence theory for first order discontinuous functional differential equations"

- Mathematics
- 2004

The main result in [3], Theorem 3.3, is incorrect. We will present a counterexample and a repair. To construct a counterexample, we use a result of Davis [1]: a necessary and sufficient condition for…

Characterizations of compactness of the interval topology in semilattices

- Mathematics
- 1974

' In a semilattice two necessary and sufficient conditions for the interval topology to be compact are established. One is in terms of the fixed point property for increasing functions on the…

## References

SHOWING 1-5 OF 5 REFERENCES

Tarski, Boolean algebras with operators

- Part I, Amer. J. Math
- 1951

A fixpoint criterion for completeness of a lattice (preliminary report)

- Bull. Amer. Math. Soc
- 1951

A LATTICE-THEORETICAL FIXPOINT THEOREM AND ITS APPLICATIONS

- Mathematics
- 1955

1. A lattice-theoretical fixpoint theorem. In this section we formulate and prove an elementary fixpoint theorem which holds in arbitrary complete lattices. In the following sections we give various…

Davis , A fixpoint criterion for completeness of a lattice ( preliminary report )

- Bull . Amer . Math . Soc .
- 1951