# Distributed convergence to Nash equilibria in two-network zero-sum games

@article{Gharesifard2013DistributedCT, title={Distributed convergence to Nash equilibria in two-network zero-sum games}, author={Bahman Gharesifard and J. Cort{\'e}s}, journal={Autom.}, year={2013}, volume={49}, pages={1683-1692} }

This paper considers a class of strategic scenarios in which two networks of agents have opposing objectives with regard to the optimization of a common objective function. In the resulting zero-sum game, individual agents collaborate with neighbors in their respective network and have only partial knowledge of the state of the agents in the other network. For the case when the interaction topology of each network is undirected, we synthesize a distributed saddle-point strategy and establish… CONTINUE READING

#### Supplemental Presentations

73 Citations

Distributed stochastic subgradient-free algorithm for Nash equilibrium seeking in two-network zero-sum games

- Mathematics
- 2019

Continuous-time distributed dynamics for Nash equilibrium over networks via a passivity-based control approach

- Computer Science
- 2017

9

Distributed Nash Equilibrium Seeking by a Consensus Based Approach

- Computer Science, Mathematics
- 2017

85

Nash Equilibrium Seeking in Subnetwork Zero-Sum Games with Switching Communication Graphs

- Computer Science, Mathematics
- 2013

Nash Equilibrium Computation in Subnetwork Zero-Sum Games With Switching Communications

- Computer Science, Mathematics
- 2016

54

A Passivity-Based Approach to Nash Equilibrium Seeking Over Networks

- Mathematics, Computer Science
- 2019

47

Equilibrium topology of multi-agent systems with two leaders: A zero-sum game perspective

- Computer Science, Mathematics
- 2016

27

Gradient-Free Nash Equilibrium Seeking in $N$-Cluster Games with Uncoordinated Constant Step-Sizes

- Mathematics
- 2020

Nash equilibrium computation in two-network zero-sum games: An incremental algorithm

- Computer Science, Mathematics
- 2019

1

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 43 REFERENCES

Distributed convergence to Nash equilibria by adversarial networks with directed topologies

- Computer Science
- 2012

8

Distributed Seeking of Nash Equilibria With Applications to Mobile Sensor Networks

- Mathematics, Computer Science
- 2012

154

On Distributed Convex Optimization Under Inequality and Equality Constraints

- Mathematics, Computer Science
- 2012

523

Distributed algorithms for the computation of noncooperative equilibria

- Computer Science, Mathematics
- 1987

124

Stability of primal-dual gradient dynamics and applications to network optimization

- Mathematics, Computer Science
- 2010

234

Distributed Consensus in Multi-vehicle Cooperative Control - Theory and Applications

- Computer Science
- 2008

2113