We use the theory of two-level games to explore how domestic constraints affect the outcome of bargaining games over national contributions to an international public good such as global climate change, and to discuss the implications for the Schelling conjecture. We model the international negotiations on two dimensions—domestic and foreign contributions to the international public good—and extend the basic two-level model by examining a nonzero sum, two-dimensional conflict model on level one that includes characteristics of both conflict and cooperation. Our main results suggest that if the domestic game is a ratification game (as in the presidential system of the US), then contributions do not exceed those in a benchmark game without domestic constraints. But if the domestic game is an election game (which is more important in the parliamentary system of most continental-European countries), contributions can actually be higher than the benchmark.
Notes
1 We thank Charles F Mason, Tom Crocker, Tommy Stamland, Owen Phillips, Eric Nye, Kevin Siqueira and seminar participants at Clarkson University, and the Public Choice meetings in Charleston for helpful comments on earlier versions. Shogren thanks the Norwegian University of Life Sciences and GREQAM for the financial support. All errors remain ours.
2 Other global public goods include global justice, trade agreements, international financial stability, cultural heritage, health, knowledge, telecommunications, cyberspace, peace and foreign aid (see for example Kaul et al Citation1999). See Gilligan (Citation2004) for a discussion of international public good negotiations with more than two countries.
3 Carraro and Siniscalco (Citation1998, 570) and Folmer et al (Citation1998, 21) were among the first to recognize a need for the literature on international environmental agreements to ask about the motivation of acting governments and include the relationship between international agreements and national voters.
4 Currarini and Tulkens (Citation1997), Siqueira (Citation2003) and Eckert (Citation2003) model transboundary pollution games with domestic audiences. Using a core-theoretic framework, Currarini and Tulkens focus on the stability of an international agreement when the objective function of the negotiator depends on the aggregate pay-off of a winning coalition in power. Siqueira shows a domestic consumption tax on emissions could be inferior if implemented by a government that does not coordinate its policies with other governments. See our comments on Eckert in the text.
5 Even though this definition is consistent with Milner and Rosendorff (Citation1997), it is a loose interpretation of Schelling's point (Citation1960, 28). A government tries to change the domestic constraints by changing domestic preferences or institutions to improve the bargaining position (Humphreys Citation2007 is a recent theoretic study of this idea). In Milner and Rosendorff and our model, preferences and institutions are exogenous. For a discussion on when the Schelling conjecture holds, see Tarar (Citation2005) and Hammond and Prins (Citation2006).
7 Reminiscent of the ‘monopolistic agenda-setter’ literature, the main difference is that the agenda-setter cannot set monopolistic agendas, even though she is a political monopolist in her own country. See for example Romer and Rosenthal (Citation1979), Banks (Citation1990a, Citation1993) and Morton (Citation1988).
8 Such a retrospective-prospective voting rule has been used in the political science literature; see for example Bueno de Mesquita et al (Citation1999).
9 Consider briefly the main difference between our model and those within the literature on strategic delegation bargaining games (see for example Fershtman et al Citation1991; Cai Citation2000). The bargaining agent does not get any utility directly from the bargaining outcome but only indirectly via a compensation scheme designed by the principal; in contrast, our agent (the government) has its own intrinsic preferences that might differ from those of the principal (the voter). The reason why the principal hires an agent in a bargaining or any other noncooperative game is nevertheless somehow related to Schelling's ideas: the principal can commit himself and show this commitment to the counterpart. See also Segendorff (Citation1998), who uses a level-one game similar to ours.
12 Popular ratifications, of course, play a role in decision-making in European countries. Recent international agreements on the constitution of the European Union and the common currency have been exposed to national ratifications in several countries, such as the recent Ireland vote. For academic evaluations of this process, see Hug (Citation2004), Pahre (Citation2004) and Hug and Schulz (Citation2005).
14 The assumption that the aggregation of the international public good follows a summation technology can matter. The affect of domestic constraints on the supply of public goods when the aggregation is based on a different technology (for an example of a best-shot or a weakest-link scenario see Sandler Citation1997, chapter 2) remains an open question.
15 The ‘ideal point’ of each country is given by its own Nash equilibrium contribution and by an infinite contribution of the other country.
16 In the following we will use the feminine pronoun for the Home government H, the male pronoun for the median voter and the neuter pronoun for the foreign government F. See Tarar (Citation2001) for a discussion of the case if F faces a domestic constraint as well.
17 This is a key assumption. See for example Mansfield et al (Citation2000) who assume the median legislator plays the noncooperative game with the foreign government.
18 This case is similar to the tariff-setting game in Milner and Rosendorff (Citation1997), with the difference that in their game F and V play the noncooperative game instead of F and H.
19 This becomes clear when one looks at their Figure , in which they compare a point x on the contract curve with a point b that is the constrained optimum: in their Figure H would prefer b over x but x cannot be the result from an unconstrained optimization á la (Equation2) to begin with.
20 Mo (Citation1994) finds that domestic constraints are a bargaining advantage if the domestic constituents are neither too weak nor too strong.
21 Mansfield et al (Citation2000) avoid this by stating in their footnote 9 that ‘we require that the international negotiators choose a ratifiable offer that lies on [PO] when such an agreement exists’. See the discussion in Dai (Citation2002) and Mansfield et al (Citation2002).
22 For a discussion on how far the ‘divided government’ discussion also concerns parliamentary democracies see chapter 10 of Alesina and Rosenthal (Citation1995), Milner (Citation1997, 37–42) and Pahre (Citation1997). See also the recent work on the effects of parliamentary versus presidential government forms on domestic public good contributions cited in footnote 13.
23 Two other papers model two-level games with an explicit electoral stage: Morrow (Citation1991) also assumes that the voter has a certain cut-off utility for the case a treaty (on arms control in his paper) between the two countries has been signed and a different cut-off utility for the case such a treaty has not been signed. These cut-off utilities, however, are independent from any electoral considerations on the voter's part. Governments and voters in Smith and Hayes (Citation1997) have preferred points and indifference circles around them: if one government gains, the other loses, which is not so in our public good environment.
24 Stage 0 could be a signalling game in an electoral campaign. See for example Banks (Citation1990b) or Harrington (Citation1992).
25 The assumption that voters use such a retrospective-prospective voting rule can be traced back to Downs (Citation1957). See also Williams (Citation1994) and Bueno de Mesquita et al (Citation1999). Also note that there is an implicit assumption in this model that a voter does not ‘punish’ a government if he or she fails to come up with an agreement. This assumption seems reasonable in cases where the nonagreement would not get a lot of media coverage.
26 Including the additional constraint that V has to be better off compared to the Nash equilibrium does not change the main results. Note also that the second constraint in (Equation11) means the political topic the countries are bargaining over is not important enough for H to risk losing elections. One could imagine that H is only partially willing to give up his convictions. This could be modelled by adding a positive constant to the left-hand side of the second inequality, and the results on the following pages, while fundamentally still intact, would be weaker with a larger constant.
27 In all these three cases, ‘closer’ does not refer to a Euclidean distance but to a difference in terms of utility.
28 The empirical study by Jensen and Spoon (Citation2007, 1) finds policy preferences of governing parties, in particular green parties when in the government, ‘are significant predictors of [domestic] progress towards GHG [greenhouse gas] emission targets’.
Kaul
,
Inge
,
Grunberg
,
Isabelle
and
Stern
,
Marc A
.
1999
.
Global public goods
,
Oxford
:
Oxford University Press
.
Gilligan
,
Michael J
.
2004
.
Is there a broader-deeper trade-off in international multilateral agreements?
.
International Organization
,
58
(
3
)
:
459
–
484
.
Folmer
,
Henk
,
Hanley
,
Nick
and
Mißfeldt
,
Fanny
.
1998
.
“
Game-theoretic modelling of environmental and resource problems: an introduction
”
. In
Game theory and the environment
,
Edited by:
Hanley
,
Nick
and
Folmer
,
Henk
.
1
–
29
.
Cheltenham, United Kingdom
:
Edward Elgar
.
Currarini, Sergio and Henry Tulkens (1997) ‘Core-theoretic and political stability of international agreements on transfrontier pollution’, CORE Discussion Paper 9793, Universitè Catholique de Louvain
Milner
,
Helen V
and
Rosendorff
,
B Peter
.
1997
.
Democratic politics and international trade negotiations: elections and divided government as constraints on trade liberalization
.
Journal of Conflict Resolution
,
41
(
1
)
:
117
–
146
.
Hammond
,
Thomas H
and
Prins
,
Brandon
.
2006
.
“
Domestic veto institutions, divided government, and the status quo: a spatial model of two-level games with complete information
”
. In
Democratic foreign policy making: problems of divided government and international cooperation
,
Edited by:
Pahre
,
Robert
.
21
–
82
.
New York
:
Palgrave
.
Milner
,
Helen V
and
Rosendorff
,
B Peter
.
1996
.
Trade negotiation, information and domestic politics
.
Economics and Politics
,
8
(
2
)
:
145
–
189
.
Milner
,
Helen V
and
Rosendorff
,
B Peter
.
1997
.
Democratic politics and international trade negotiations: elections and divided government as constraints on trade liberalization
.
Journal of Conflict Resolution
,
41
(
1
)
:
117
–
146
.
Romer
,
Thomas
and
Rosenthal
,
Howard
.
1979
.
Bureaucrats versus voters: on the political economy of resource allocation by direct democracy
.
Quarterly Journal of Economics
,
93
:
563
–
587
.
Bueno de Mesquita
,
Bruce
,
Morrow
,
James D
,
Siverson
,
Randolph
and
Smith
,
Alastair
.
1999
.
An institutional explanation of the democratic peace
.
American Political Science Review
,
93
(
4
)
:
791
–
807
.
Iida
,
Keisuke
.
1993
.
When and how do domestic constraints matter? Two-level games with uncertainty
.
Journal of Conflict Resolution
,
37
(
3
)
:
403
–
426
.
Milner
,
Helen V
and
Rosendorff
,
B Peter
.
1996
.
Trade negotiation, information and domestic politics
.
Economics and Politics
,
8
(
2
)
:
145
–
189
.
Mo
,
Jongryn
.
1995
.
Domestic institutions and international bargaining: the role of agent veto in two-level games
.
American Political Science Review
,
89
(
4
)
:
914
–
924
.
Milner
,
Helen V
and
Rosendorff
,
B Peter
.
1997
.
Democratic politics and international trade negotiations: elections and divided government as constraints on trade liberalization
.
Journal of Conflict Resolution
,
41
(
1
)
:
117
–
146
.
Mansfield
,
Edward D
,
Milner
,
Helen V
and
Rosendorff
,
B Peter
.
2000
.
Free to trade: democracies, autocracies and international trade
.
American Political Science Review
,
94
(
2
)
:
305
–
321
.
Hug, Simon (2004) ‘Models of multilateral negotiations and ratification’, Paper presented at the 2004 annual meeting of the American Political Science Association, Chicago
Pahre, Robert (2004) ‘Formal and informal ratification in the intergovernmental policies of the European Union’, Working Paper, European Union Center, University of Illinois, Urbana-Champaign
Hug
,
Simon
and
Schulz
,
Tobias
.
2005
.
Referendums in the EU's constitution building process
.
Review of International Organizations
,
2
(
2
)
:
177
–
218
.
Lizzeri
,
Alessandro
and
Persico
,
Nicola
.
2001
.
The provision of public goods under alternative electoral incentives
.
American Economic Review
,
91
(
1
)
:
225
–
245
.
Mansfield
,
Edward D
,
Milner
,
Helen V
and
Rosendorff
,
B Peter
.
2000
.
Free to trade: democracies, autocracies and international trade
.
American Political Science Review
,
94
(
2
)
:
305
–
321
.
Milner
,
Helen V
and
Rosendorff
,
B Peter
.
1997
.
Democratic politics and international trade negotiations: elections and divided government as constraints on trade liberalization
.
Journal of Conflict Resolution
,
41
(
1
)
:
117
–
146
.
Mansfield
,
Edward D
,
Milner
,
Helen V
and
Rosendorff
,
B Peter
.
2000
.
Free to trade: democracies, autocracies and international trade
.
American Political Science Review
,
94
(
2
)
:
305
–
321
.
Dai
,
Xinyuan
.
2002
.
Political regimes and international trade: the democratic difference revisited
.
American Political Science Review
,
96
(
1
)
:
159
–
165
.
Mansfield
,
Edward D
,
Milner
,
Helen V
and
Rosendorff
,
B Peter
.
2002
.
Replication, realism and robustness: analyzing political regimes and international trade
.
American Political Science Review
,
96
(
1
)
:
167
–
169
.
Alesina
,
Alberto
and
Rosenthal
,
Howard
.
1995
.
Partisan politics, divided government and the economy
,
Cambridge, Massachusetts
:
Cambridge University Press
.
Milner
,
Helen V
.
1997
.
Interests, institutions, and information: domestic politics and international relations
,
Princeton, New Jersey
:
Princeton University Press
.
Pahre
,
Robert
.
1997
.
Endogenous domestic institutions in two-level games and parliamentary oversight of the European Union
.
Journal of Conflict Resolution
,
41
(
1
)
:
147
–
174
.
Smith
,
Alastair
and
Hayes
,
David
.
1997
.
The shadow of the polls: electoral effects on international agreements
.
International Interactions
,
23
(
1
)
:
79
–
108
.
Bueno de Mesquita
,
Bruce
,
Morrow
,
James D
,
Siverson
,
Randolph
and
Smith
,
Alastair
.
1999
.
An institutional explanation of the democratic peace
.
American Political Science Review
,
93
(
4
)
:
791
–
807
.
Jensen, Christian B and Jae-Jae Spoon (2007) ‘Putting the party back in: explaining EU member state compliance with the Kyoto Protocol, 1998–2003’, Working Paper, University of Iowa
1
1 We thank Charles F Mason, Tom Crocker, Tommy Stamland, Owen Phillips, Eric Nye, Kevin Siqueira and seminar participants at Clarkson University, and the Public Choice meetings in Charleston for helpful comments on earlier versions. Shogren thanks the Norwegian University of Life Sciences and GREQAM for the financial support. All errors remain ours.