### Abstract

When heterogeneous congestion control protocols that react to different pricing signals share the same network, the resulting equilibrium may no longer be interpreted as a solution to the standard utility maximization problem. We prove the existence of equilibrium in general multi-protocol networks under mild assumptions. For almost all networks, the equilibria are locally unique, and finite and odd in number. They cannot all be locally stable unless it is globally unique. Finally, we show that if the price mapping functions that map link prices to effective prices observed by the sources are similar, then global uniqueness is guaranteed.

Original language | English (US) |
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Title of host publication | 2006 IEEE Information Theory Workshop, ITW 2006 |

Pages | 57-61 |

Number of pages | 5 |

State | Published - Nov 21 2006 |

Event | 2006 IEEE Information Theory Workshop, ITW 2006 - Punta del Este, Uruguay Duration: Mar 13 2006 → Mar 17 2006 |

### Publication series

Name | 2006 IEEE Information Theory Workshop, ITW 2006 |
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### Other

Other | 2006 IEEE Information Theory Workshop, ITW 2006 |
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Country | Uruguay |

City | Punta del Este |

Period | 3/13/06 → 3/17/06 |

### All Science Journal Classification (ASJC) codes

- Engineering(all)

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## Cite this

*2006 IEEE Information Theory Workshop, ITW 2006*(pp. 57-61). [1633781] (2006 IEEE Information Theory Workshop, ITW 2006).