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The Senate Agreement: Vox Gives Ground, the PP Gains Fifteen Senators and the Three-Fifths Majority Comes Closer

The PP and Vox have reached a Senate agreement covering 23 provinces. Vox will not field a list in six, the PP will not in three, and Vox will run a single candidate in another fourteen. With today's forecast, the PP goes from 128 to 144 senators and Vox from 9 to 10. The probability that the PP has an absolute majority on its own rises from 39% to 75%, and the probability that the PP and Vox together reach a three-fifths majority of the chamber rises from 14% to 40%. Almost all of the effect comes from the arithmetic of the limited vote, not from voter discipline.

26 October 2026 · Miguel · Leer en español

Update, October 27. In response to the PP–Vox agreement, the Comuns (Frente Amplio) have withdrawn their Senate lists in Girona, Lleida and Tarragona and are asking their voters to back the PSC, which in return will propose a Comuns member as a regionally appointed senator. The model now includes this. With the October 27 forecast the effect is small: the PSC is more likely to secure its three senators in those provinces (in Tarragona, from 61% to 75% of simulations), the left gains a little over half a senator on average, and the probability of a PP–Vox three-fifths majority barely changes (from 47.3% to 46.6%). The figures in the article are from the October 26 forecast.

What they signed

The agreement that the PP and Vox announced on Monday, the day before the candidacy deadline, is not a coalition: each party keeps its own name and the pact is limited to the Senate. It has three parts:

It is a response to the joint list that the left agreed earlier for the Senate. According to the model, the joint PSOE–Frente Amplio list will run in almost every province.

The arithmetic of the limited vote

Four senators are elected in each mainland province, and each voter can mark up to three names. The four most-voted candidates win the seats, whatever their party. In practice, the most-voted list takes three senators and the second takes one, even if it gets almost the same number of votes. In 2023, in 34 of the 47 four-senator provinces the split was three for the PP and one for the PSOE, and in seven others it was the PSOE that took three.

That is why it matters so much who comes first in each province. With separate lists, the right-wing vote is split between PP and Vox candidates, and the joint PSOE–Frente Amplio list beats the PP in quite a few provinces. The agreement acts on that split in three ways:

In theory, Vox’s single candidate could win the fourth seat and leave the left without a senator in that province. To do so, it would need more votes than the top candidate of the joint list, and in almost no province is that likely.

The effect on the chamber

Probability of each Senate majority, with and without the agreementPercentage of the 20,000 simulations of the October 26 forecast. Full chamber: 209 elected senators and 58 appointed by the regional parliaments; absolute majority, 134; three-fifths, 161.

PP alone, absolute majority (134)

No agreement39.1%
With the agreement74.5%

PP + Vox, absolute majority (134)

No agreement61.4%
With the agreement88.3%

PP + Vox, three fifths (161)

No agreement14.0%
With the agreement39.5%

With today’s polls and the agreement, the PP gets a median of 144 senators counting the appointed ones (between 105 and 161 in 95% of simulations), against 128 with separate lists. Vox goes from 9 to 10 and the left from 107 to 91. Comparing each simulation with itself, with and without the agreement, the PP gains 15 senators on average. The joint PSOE–Frente Amplio list loses 12 and the PSOE, where it runs alone, another 2. ERC, Junts, Bildu and Coalición Canaria together lose about one among the four. Vox gains 0.1.

PP Vox PP + Vox P(PP ≥ 134) P(PP + Vox ≥ 134) P(PP + Vox ≥ 161)
Without the agreement 128 9 140 39% 61% 14%
With the agreement 144 10 157 75% 88% 40%
Without the agreement, if the polls are right 133 10 143 49% 86% 1%
With the agreement, if the polls are right 149 11 160 98% 100% 46%

The last row is the most revealing. If the polling average were right, without the agreement the PP and Vox would almost never reach three-fifths (1%). With it, they land at a median of 160 senators, one short of the 161 needed, and reach it in 46% of simulations. The agreement turns a nearly impossible supermajority into one within reach.

How many senators the PP and Vox win togetherPercentage of simulations with each result (full chamber, in bins of two senators). Three-fifths: 161.
0%5%10%15%20%120132144156168180192200No agreement · 120: 2.7%No agreement · 122: 2.9%No agreement · 124: 2.9%No agreement · 126: 2.9%No agreement · 128: 2.9%No agreement · 130: 3.1%No agreement · 132: 3.3%No agreement · 134: 3.5%No agreement · 136: 3.7%No agreement · 138: 3.7%No agreement · 140: 3.8%No agreement · 142: 3.7%No agreement · 144: 3.8%No agreement · 146: 3.7%No agreement · 148: 4%No agreement · 150: 3.4%No agreement · 152: 3.7%No agreement · 154: 3.1%No agreement · 156: 3.1%No agreement · 158: 3%No agreement · 160: 2.8%No agreement · 162: 2.3%No agreement · 164: 2.1%No agreement · 166: 1.6%No agreement · 168: 1.5%No agreement · 170: 1.1%No agreement · 172: 0.9%No agreement · 174: 0.7%No agreement · 176: 0.6%No agreement · 178: 0.4%No agreement · 180: 0.3%No agreement · 182: 0.3%No agreement · 184: 0.2%No agreement · 186: 0.2%No agreement · 188: 0.1%No agreement · 190: 0.1%No agreement · 192: 0.1%No agreement · 194: 0.1%No agreement · 196: 0%No agreement · 198: 0%No agreement · 200: 0%With the agreement · 120: 0.8%With the agreement · 122: 0.9%With the agreement · 124: 0.9%With the agreement · 126: 1.1%With the agreement · 128: 1.3%With the agreement · 130: 1.4%With the agreement · 132: 1.5%With the agreement · 134: 1.9%With the agreement · 136: 2.3%With the agreement · 138: 2.6%With the agreement · 140: 2.7%With the agreement · 142: 2.9%With the agreement · 144: 3.2%With the agreement · 146: 3.4%With the agreement · 148: 3.8%With the agreement · 150: 3.9%With the agreement · 152: 4.6%With the agreement · 154: 4.9%With the agreement · 156: 4.9%With the agreement · 158: 5.4%With the agreement · 160: 5.2%With the agreement · 162: 5.8%With the agreement · 164: 5.4%With the agreement · 166: 4.9%With the agreement · 168: 4.5%With the agreement · 170: 3.8%With the agreement · 172: 3.2%With the agreement · 174: 2.4%With the agreement · 176: 1.7%With the agreement · 178: 1.3%With the agreement · 180: 1.1%With the agreement · 182: 0.8%With the agreement · 184: 0.6%With the agreement · 186: 0.5%With the agreement · 188: 0.3%With the agreement · 190: 0.2%With the agreement · 192: 0.1%With the agreement · 194: 0.1%With the agreement · 196: 0.1%With the agreement · 198: 0%With the agreement · 200: 0.1%With the agreement 0.1No agreement 0

Province by province

Where Vox runs a single candidate, the PP goes from about two senators to almost three. Vox’s candidate almost never wins: he or she does so in 11% of simulations in Granada, 9% in Sevilla and 8% in Zaragoza, and in 6% or fewer in the rest. The right takes all four seats just as rarely. In Álava and Navarra the agreement barely changes the result: the PP gains a little, but the left and the nationalists remain ahead.

PP and Vox senators where Vox runs a single candidateAverage number of senators for the PP and Vox together (out of four), without and with the agreement. On the right, the probability that Vox's candidate is elected. Hollow: Without the agreement; filled: With the agreement.
0
Alicante/Alacant1.9% → 2.8%Vox 5%
Asturias1.8% → 2.6%Vox 1%
Badajoz2.0% → 2.7%Vox 2%
Cáceres2.0% → 2.7%Vox 1%
Huelva2.2% → 2.9%Vox 5%
Zaragoza2.2% → 2.9%Vox 8%
Jaén2.2% → 2.9%Vox 4%
Huesca2.1% → 2.7%Vox 1%
Sevilla2.3% → 3.0%Vox 9%
Granada2.4% → 3.0%Vox 11%
Cuenca2.4% → 2.9%Vox 6%
Navarra1.8% → 2.4%Vox 0%
Pontevedra2.3% → 2.6%Vox 0%
Araba/Álava0.5% → 0.8%Vox 0%

Where Vox does not run, the PP gains most in Valencia and Castellón, where the joint list was ahead: it goes from 1.4 to 2.6 senators in Valencia and from 1.6 to 2.8 in Castellón. In Cádiz it secures the third seat (from 2.1 to 2.9), which was previously contested with the left and Vox. On the single-senator islands the change is all or nothing. The PP becomes the favorite in Menorca, Formentera, Lanzarote and Fuerteventura and secures Eivissa. In the province of Santa Cruz de Tenerife nothing changes, because Vox has barely any vote there.

PP and Vox senators where Vox does not runAverage number of senators for the PP and Vox together, without and with the agreement (Valencia, Castellón and Cádiz elect four; Mallorca, Gran Canaria and Tenerife, three). Hollow: Without the agreement; filled: With the agreement.
0
Valencia/València1.5% → 2.6%Vox 0%
Castellón/Castelló1.7% → 2.8%Vox 0%
Cádiz2.3% → 2.9%Vox 0%
Mallorca1.5% → 1.9%Vox 0%
Gran Canaria1.6% → 2.0%Vox 0%
Tenerife1.4% → 1.4%Vox 0%

Where the PP does not run, Vox gains a little. In Tarragona its average goes from 0.3 to 1.2 senators and it wins at least one in 86% of simulations. In Girona it does so in 45%. In Gipuzkoa the agreement changes nothing.

Vox gives up seats, but gains chances

Seat by seat, Vox gives up a lot. It stops running in Cádiz and Castellón, where it had some chance with separate lists. With a single candidate in fourteen provinces, its chances there fall to half or less. What it gains in return are Tarragona and Girona. In total, Vox’s median goes from 9 to 10 senators, but comparing each simulation with itself it gains barely 0.1 on average: what it adds in Catalonia it loses elsewhere. Nor is a parliamentary group of its own, which requires ten senators, assured: with the agreement it would have one in 57% of simulations (50% without it). According to the PP, the pact includes no commitment on this.

The point of the pact lies not in the number of senators for each party, but in what the bloc can do with three-fifths:

Today, that threshold can only be reached through an agreement between the two big parties. With the pact and current polls, the PP and Vox would reach it on their own in four out of ten simulations.

What matters most is not discipline

A reasonable question is how many voters will follow instructions. Will the Vox voter mark two PP candidates? Will the PP voter in Tarragona vote for Vox? The model treats this as one more uncertainty:

The result depends little on those assumptions. Between the simulations with the lowest discipline and those with the highest, the PP and Vox total changes by less than two senators on average, and the probability of three-fifths goes from 39% to 41%. The agreement works mainly because it removes candidacies: fewer right-wing lists competing for the same votes. Whether voters follow them to the letter matters much less.

What does matter is the vote. The difference between the full forecast (40% for three-fifths) and the scenario in which the polls are right (46%) shows that the result still depends on how PP and Vox voters cast their ballots on November 29 and on how much the left’s joint list gets. The PP’s absolute majority on its own, by contrast, is likely in almost any scenario (75%; 98% if the polls are right).

What remains to be known

How we calculated it