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arXiv · 2310.02898

Some bidding games converging to their unique pure equilibrium

Benjamin Heymann·Alejandro Jofré
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Abstract

We introduce a class of Bayesian bidding games for which we prove that the set of pure Nash equilibria is a (non-empty) sublattice and we give a sufficient condition for uniqueness that is often verified in the context of markets with inelastic demand. We propose a dynamic that converges to the extrema of the equilibrium set and derive a scheme to compute the extreme Nash equilibria.

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Benjamin Heymann, Alejandro Jofré. 2023-10-04. Some bidding games converging to their unique pure equilibrium. https://arxiv.org/abs/2310.02898

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