# Localization of the degree on lower-dimensional sets

@article{Mertens2004LocalizationOT, title={Localization of the degree on lower-dimensional sets}, author={Jean-François Mertens}, journal={International Journal of Game Theory}, year={2004}, volume={32}, pages={379-386} }

Abstract.The restriction of an essential mapping to the inverse image of a simplex of arbitrary dimension is still essential.

## 4 Citations

### Some preliminary remarks on the relevance of topological essentiality in general equilibrium theory and game theory

- Economics, Mathematics
- 2008

We define an algebro-topological concept of essential map and we use it to prove several results in the theory of general equilibrium and nash equilibrium refinement.

### Stable Outcomes of Generic Games in Extensive Form

- Economics
- 2006

We apply Mertens' dedinition of stability for a game in strategic form to a game in extensive form with perfect recall. We prove that if payoffs are generic then the outcomes of stable sets of…

### INTERVIEW WITH JEAN-FRANÇOIS MERTENS (1946–2012)

- EconomicsMacroeconomic Dynamics
- 2013

Every game theorist knows of Mertens and Zamir (1985)'s universal beliefs space, which gives deep foundations to Harsanyi's model of Bayesian games, and Kohlberg and Mertens (1986)'s strategic…

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