Road Paper. Some Theoretical Aspects of Road Traffic Research.

Wardrop, J G

doi:10.1680/ipeds.1952.11259

Cited by 2,641 publications

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“…Because road users consider parallel links to be perfect substitutes, 'Wardropian' equilibrium conditions apply on both segments individually. This means that the generalised price faced by users, to be defined below, must be equalised on all links on a segment that can carry traffic, and cannot be lower on unused links for that segment (Wardrop, 1952). The lower diagram shows a possible network configuration after three links have been added; two on segment a and one on b.…”

Section: Model Set-up 21 Network Configurationmentioning

confidence: 99%

Private Roads: Auctions and Competition in Networks

Verhoef

2007

SSRN Journal

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This paper studies the efficiency impacts of private toll roads in initially untolled networks. The analysis allows for capacity and toll choice by private operators, and endogenises entry and therewith the degree of competition, distinguishing and allowing for both parallel and serial competition. Two institutional arrangements are considered, namely one in which entry is free and one in which it is allowed only after winning an auction in which patronage is to be maximised. Both regimes have the second-best zero-profit equilibrium as the end-state of the equilibrium sequence of investments; but the auctions regime approaches this end-state more rapidly: tolls are set equal to their second-best zero-profit levels immediately, and capacity additions for the earlier investments are bigger. When discreteness of capacity is relevant and limits the number of investments that can be accommodated practically, the auctions regime may therefore still result in a more efficient end-state, with a higher social surplus, although the theoretical end-state is the same as under free entry.

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Section: Model Set-up 21 Network Configurationmentioning

confidence: 99%

Private Roads: Auctions and Competition in Networks

Verhoef

2007

SSRN Journal

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“…A solution to (25) represents a Nash flow for (G, β, µ), and in [22] it is shown Nash flows always exist for congestion games of the type considered in this paper. Since b is of the form…”

Section: Proof Of Resultsmentioning

confidence: 80%

Social coordination in unknown price-sensitive populations

Brown

Marden

2013

52nd IEEE Conference on Decision and Control

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Abstract-In this paper, we investigate the relationship between uncertainty and a designer's ability to influence social behavior. Pigovian taxes are a common approach to social coordination. However, guaranteeing efficient behavior typically requires that the system designer has complete knowledge of the user population's sensitivity to taxation. In this paper, we explore the effect of relaxing this requirement in the context of congestion games with affine costs. Focusing on the class of scaled Pigovian taxes, we derive the optimal tolling scheme that minimizes the worst-case efficiency loss under uncertainty in user sensitivity. Furthermore, we derive explicit bounds which highlight how the level of uncertainty in sensitivity degrades performance.

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“…Here, travellers are assumed to use the Wardrop's UE to describe their route choice behaviour in the transportation network [47]. Within each OD pair, a traveller chooses a route to minimize their travel cost.…”

Section: Reformulation Of Traffic Assignment Problemmentioning

confidence: 99%

An MPCC Formulation and Its Smooth Solution Algorithm for Continuous Network Design Problem

Wang

2017

PROMET

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Continuous network design problem (CNDP) is searching for a transportation network configuration to minimize the sum of the total system travel time and the investment cost of link capacity expansions by considering that the travellers follow a traditional Wardrop user equilibrium (UE) to choose their routes. In this paper, the CNDP model can be formulated as mathematical programs with complementarity constraints (MPCC) by describing UE as a non-linear complementarity problem (NCP

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Road Paper. Some Theoretical Aspects of Road Traffic Research.

Cited by 2,641 publications

References 0 publications

Private Roads: Auctions and Competition in Networks

Private Roads: Auctions and Competition in Networks

Social coordination in unknown price-sensitive populations

An MPCC Formulation and Its Smooth Solution Algorithm for Continuous Network Design Problem

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