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Informative Lobbying and Agenda Control Arnaud Dellis Mandar Oak UQAM University of Adelaide Feb 2018 Dellis, Oak (Feb 2018) Overlobbying 1 / 31

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Informative Lobbying and Agenda Control

Arnaud Dellis Mandar OakUQAM University of Adelaide

Feb 2018

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Introduction

Special Interest Politics: Studying the role of Special Interest Groups(SIGs) in the political process

SIGs exert extra-electoral influence on policy-making process

Pre-electoral

Campaign contributionsEndorsementsVoter mobilization

Post-electoral

Lobbying

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Lobbying

Lobbying is the act of attempting to influence decisions made byofficials in the government, most often legislators or members ofregulatory agencies

Applicable to other contexts as well (in a university dept., which fieldto recruit in)

Lobbying firms form an important part of the landscape in politicalcapitals around the world

K Street in Washington D.C.approx. $3.35 billion spent by lobbying firms in 2017returns to lobbying can be substantial (high lobbying firmsoutperformed S&P 500 by 11%)

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Questions in the Literature

Who forms lobby groups (more generally, SIGs)

How and under what conditions lobbying affects policy outcomes

What are the welfare and distributional consequences of lobbying

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Approaches to Modeling Lobbying

Two strands in the literature

I. Lobbying as ”buying a policy”

Lobby groups offer policy contingent contributions

Can be interpreted as plain bribes or as campaign funds/endorsementsfor reelection

Lobbying distorts policies away from general interest; leads to lowerwelfare

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Approaches to Modeling Lobbying

II. Lobbying as information transmission

Lobby groups are better informed but may have divergent preferences

Lobbying provides information to the policy maker (directly/indirectly)

Cheap-talk gameSignaling game: (Differentially) costly lobbying serves as a signal aboutthe information [Lohmann, 1995]: greater lobbying expenditure onlymakes sense if the gains from the policy are sufficiently highPursuasion games

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“The currency of lobbying in the European Union is information.Information plays an important role in shaping an interest group?sorganisation and behaviour, its day-to-day activities, and even the extentto which it can affect decisions in its own favour. At root, informationdefines how interest groups interact with EU decision-makers. Groups arerelative experts on the policy issues affecting their interests most and haveaccess to considerable technical, specialist and politically salientinformation on these topics. EU decision-makers, woefully understaffedand pressed-for-time, find it helpful, if not necessary, to draw on thisinformation in order to reduce uncertainties about potential policyoutcomes. Importantly, interest groups find themselves in a good positionto take advantage of this informational asymmetry. They thus supplyinformation in exchange for legitimate access to the policy-making processwith the goal of having their voices heard at the EU level and, ultimately,steering the EU policymaking process.”— Lobbying in the EU, C. Chalmers

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Our Approach

IGs possess potentially verifiable, policy-relevant information

IGs offer to provide the relevant information to the PM (Lobbying)

Lobbying is costly

However, PM needs to spend time/resources to verify the informationprovided (Access)

Access is costly: PM cannot grant access to all lobby groups

Lobbying =⇒ Access =⇒ Information

Two sources of information:

1 Hard information: Lobbying + Access2 Soft information: Act of lobbying could acts a as signal that there is

IG-favorable information

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Model

N issues indexed i = 1, · · · ,NPolicy on issue i is

pi ∈ {0, 1}

1 (reform), 0 (status-quo)

State of the world on issue i is

θi ∈ {0, 1}Pr(θi = 1) = πi

SoW is either 1 (pro-reform) or 0 (pro-status-quo)

Policy Maker (PM)

UPM = α1 · u1(p1, θ1) + · · ·+ αN · uN(pN , θN)

u (pi , θi ) =

{1 if pi = θi0 if pi 6= θi

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Model contd.

Interest Groups (IGs)

N interest groups, one per issue

v i (pi ) =

{1 if pi = 10 if pi = 0

Interest Group i prefers policy 1 irrespective of SoW

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Four stage game

Interaction between PM and IGs modeled as follows:

1 [Lobby Formation Stage] Each IG simultaneously decides whetherto organize as lobby (at cost ci )If organized, nature reveals θi to group i

2 [Lobbying Stage] Each organized IGi simultaneously decides whetherto lobby the policy maker (at cost fi < 1)

Let `i = 1(0) denote IGi ’s action to lobby (not lobby)

3 [Access Stage] PM decides which IG(s) to grant access to;If granted access, IGi reveals θi to the policy maker

Let ai = 1(0) denote PM’s action of granting (not granting) access toIGi

4 [Policy Choice Stage] PM chooses p1, · · · , pN

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Main Innovation of the Paper

We incorporate two realistic features of the policy making process:Granting access to IGs and implementing reform are resource/timeintensive processes

Access Constraint: PM can grant access to at most K IGs

Formally, ∑ ai ≤ K

Agenda Constraint: PM can implement reform on at most M issues

Formally, ∑ pi ≤ M

Interesting case: K ≤ M ≤ N (with at least one strict inequality)

Except for these constraints, the set-up is most conducive to informationtransmission via lobbying

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Solving the Model

Solve using backward induction

(Weak) Perfect Bayesian Equilibrium

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Notation

β (beliefs), λ (lobbying strategy), γ (access stategy), ρ (policychoice)

Elements of an equilibrium

βi (a, `; θ) : PM’s posterior beliefs, Pr(θi = 1)

β = (β1, · · · , βN ) where βi ≡ βi (a, `; θ)

ρi (a, `) : policy choice rule, ρi = Pr(pi = 1)γi (`) : policy maker’s access strategy

denotes Prob that IGi is granted access

λi (θi ) : lobbying strategy

denotes Prob that IGi lobbies

β0i (`i ) : policy maker’s interim beliefs after observing lobbying actionsbut before accessEi : lobby formation decision

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This talk ...

IG formation stage not modeled

Consider the case where all N groups have formed lobbies (for alli ,Ei = 1)check robustness later

Symmetric case:

α1 = · · · = αN = αf1 = · · · = fN = fπ1 = · · · = πN = π

Status-quo is ex-ante optimal policy (π < 1/2)

Solve for a symmetric equilibrium

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No Agenda Constraint

1 ≤ K < M = NPolicy making stage

Let β = (β1, · · · , βN) denote the posterior beliefs of the policy makergiven information Iβi = Pr(θi = 1)

Consider a policy rule: ρ(β) = (ρ1(β), · · · , ρN(β))ρi denotes the probability of choosing policy 1

Lemma 1: Optimal policy rule is

ρ∗i (β) =

1 βi > 1/2[0, 1] βi = 1/20 βi < 1/2

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Access Stage

Value of information on issue i

αi · [1−max{β0i , 1− β0

i }]

Lemma 2: Optimal access strategy is grant access to issue i over j if

αi [1−max{β0i , 1− β0

i }] > αj [1−max{β0j , 1− β0

j }]

i.e. in the symmetric case (αi = αj)

max{β0i , 1− β0

i } < max{β0j , 1− β0

j }

Intuitively, PM grants access to those K groups with β0s close to 1/2

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Lobbying Stage

In symmetric equilibrium, each group lobbies with probability λ1(λ0)when θi = 1(0)

Symmetric access strategy: If I groups lobby, each group grantedaccess with equal probability γ = min{1, K

I }Denote the probability of each group lobbying by δ

δ ≡ π · λ1 + (1− π) · λ0

Γ(δ) : probability of group i being granted access upon lobbying

Γ(δ) ≡K−1∑n=0

(N − 1

n

)· δn · (1− δ)N−1−n · 1 +

N−1∑n=K

(N − 1

n

)· δn · (1− δ)N−1−n · K

n+ 1

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Characterizing Symmetric Eqm.

Policy maker’s beliefs:

βi (1, 1; θi ) : beliefs when i lobbies, and is given access ⇒ learns thetrue stateβi (1, 0; θi ) : beliefs when i lobbies but not given accessβi (0, 0; θi ) : beliefs when i does not lobby[βi (0, 1; θi ) : relevant in the case of an extension with subpoenapowers]

For simplicity let’s suppress i

Using Bayes rule

β(1, 0) =λ1 · π

δ

β(0, 0) =λ0 · (1− π)

1− δ

Policy rule can be denoted by ρ(1, 1), ρ(1, 0) and ρ(0, 0)

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Characterizing Eqm contd.

Denote each group i ’s expected payoff in state θi by EV i (θi )

EV i (1) = λ1 · [Γ(δ) · 1 + (1− Γ(δ)ρ(1, 0)− f ] + (1− λ1)ρ(0, 0)

EV i (0) = λ0 · [Γ(δ) · 0 + (1− Γ(δ)ρ(1, 0)− f ] + (1− λ0)ρ(0, 0)

Optimal lobbying strategy is given by the FOCs

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Main Results

Proposition 1:Suppose 1 ≤ K < M = N. There exists a unique equilibrium in symmetricstrategies wherein we have

1 δ∗ ∈ (0, 1)

2 λ∗1 > λ∗03 β∗(0, 0) < 1

2 ≤ β∗(1, 0)

Furthermore, the equilibrium MUST be one of two types:

Full Information Equilibrium: λ∗1 = 1, λ∗0 = 0

Overlobbying Equilibrium: λ∗1 = 1, λ∗0 ∈ (0, 1)

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Main Results contd.

Proposition 2:For a given K , the equilibrium is

1 fully informative if and only if 1− Γ(π) ≤ f < 1

2 involves overlobbying if and only if f < 1− Γ(π)

Proposition 2’:

For a given f , there exists K (f ) such that , the equilibrium is

1 fully informative if and only if K ≥ K (f )

2 involves overlobbying if and only if K < K (f )

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Intuition behind Prop. 2, 2’

Our model combines signaling and screening

lobbying signals favorable informationaccess screens the information

Lobbying and access are complements

greater access improves the value of the signal

Lobbying can be susceptible to congestion externalities

while lobbying, each group ignores the opportunity cost of accessdenied to other groups with better informationthis can lead to overlobbying

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Agenda Constraint

1 ≤ K ≤ M < NAgenda constraint could be due to time constraint or as a policy choice

Effects of agenda constraint

Negative effect: fewer policies to chooseAmbiguous effect: more/less information transmission?

Lower M reduces the payoff from lobbying: even if the state isfavorable, reform may not be implemented

However, reduced incentives to over-lobbying also solve thecongestion externalities ⇒ improves the quality of screening!

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Analysis of the Agenda Constrained Game

Characterize the symmetric equilibrium of the ”M-agenda constrainedgame”

Find conditions under which the equilibrium leads to full information,over/under-lobbying

We show that, for a given M there exist cost cut-offs f (M) and f (M)such that

f (M) < f (M)Full information equilibrium if f ∈ [f (M) , f (M))Overlobbying if f ∈ [0,f (M))Underlobbying if f ∈ [f (M), 1)

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Main Result

Consider a given f .

Proposition 3:∃M∗ ∈ {K , . . . ,N} such that the equilibrium associated with M∗ is a fullinformation equilibrium.

Proposition 4: The exists a range of parameter values for which theequilibrium of the agenda constrained game Pareto dominates theequilibrium of the unconstrained game.

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Anecdotal Evidence

A practical way to constraint M: restrict the frequency and durationparliamentary session

”HYPERACTIVITY is not a virtue in a legislature. WinstonChurchill thought Parliament should meet for no more than fivemonths a year. Texas enjoys relative freedom from red tape partlybecause its state legislature meets only every other year. If theEuropean Parliament sat only once every two years, the continent’sregulation-infested economy might well be healthier.”

(”Britain’s Lethargic Parliament”, Leaders Section, TheEconomist, April 5-11, 2014 issue)

http://www.smh.com.au/federal-politics/political-opinion/the-less-parliament-sits-the-better-off-we-all-will-be-20111119-1nohw.html

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Additional Results

Endogenous entry: We verify that equilibrium results are consistentwith the lobby formation stage

Solved the full model, with asymmetric environment, but N = 2

found qualitatively similar characterization of equilibriathe more salient the issue, lesser the extent of overlobbying

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Subpoena power: Suppose PM can mandate IGs to provideinformation, irrespecitve of whether they lobbied

Subpoena power –> PM bears the cost of gathering information

No Agenda Constraint (N = 2)

Subpoena power weakly reduces PM’s welfare

Agenda Constraint (N = 1)

Sunpoena power may improve PM’s welfare

IGs weakly better off with subpoena power (for N = 1, 2)

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Contribution of the Paper

Attempts to model both provision (lobbying) and processing (access)of information

Accounts for transactions cost, esp. in information processing

Overlobbying: even with verifiable information no full transmission ofinformation due to congestion externalities

Agenda control/constraint can improve welfare by reducingoverlobbying

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Work in Progress ...

Doing robustness check

continuos state space/ multiple reform options per issue

imperfect signals

(costly) cheap talk

pro- and anti-reform lobbies

continuous screening: quality vs quantity tradeoff

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