Plаintiff-appellee Doctor’s Associates, Inc. (DAI), a Florida corporation, is the national franchisor of “Subway” sandwich shops. Defendants-appellants, present and former Subway franchisees, appeal from orders of the United States District Court for the District of Connecticut, Peter C. Dorsey, Chief Judge, dated February 14, 1996, and March 14, 1996, both published at
We are not the first panel of this court to encounter an appeal by groups of Subway franchisees, represented by attorney David M. Duree, involving similar — if not identical — facts and legal issues regarding arbitration of disputes with DAI. We have already remanded once in this ease,
Doctor’s Associates, Inc. v. Distajo,
I. Facts and Prior Proceedings
When purchasing franchises from DAI, *1448 each franchisee-defendant 1 executed a standard franchise agreement which requires the parties to arbitrate claims arising under the agreement. 2 Most of the franchise agreements state that they are governed by Connecticut law. Each franchisee-defendant also entered into a standard sublease with a leasing company affiliated with DAI. The sublease, which does not contain an arbitration clause, includes a “cross-default” provision, which allows the leasing company to evict a franchisee for violations of either the sublease or the franchise agreement. 3
Between 1991 and 1993, many disputes arose between DAI and the franchisees regarding rents, royalties and advertising fees due under the franchise agreements and subleases. To recover these monies, DAI instructed its leasing companies to file eviction actions, primarily in Illinois state court, against certain franchisees. In addition, all franchisees except the Kanes and Bickels claim that DAI routinely threatened to bring such eviction proceedings to recover alleged unpaid fees and rents.
Several months to one year after the close of these eviction proceedings, each franchisee filed a nearly identical action against DAI in state court in either Illinois, Pennsylvania, Massachusetts or North Carolina. Each suit alleged, among other things, (1) fraud with respect to DATs policies of operating through assetless leasing companies, avoiding arbitration through use of eviction proceedings, and withholding business information from franchisees, (2) breach of contract for DATs failure to arbitrate the disputes underlying the eviction actions, and for various unrelated violations of the franchise agreements, and (3) violations of the Illinois Consumer Fraud and Deceptive Business Practices Act, the Illinois Franchise Disclosure Act and the Lanham Act. Each franchisee requested compensation and substantial punitive damages.
Upon notice of each case filed by a franchisee, DAI immediately filed a written demand for arbitration with the American Arbitration Association in accordance with that body’s Commercial Arbitration Rules (AAA Rules). When the franchisees refused to arbitrate their disputes, DAI filed the present petitions to compel arbitration pursuant to the Federal Arbitration Act (FAA), 9 U.S.C. § 4. The franchisees conceded that their claims in state court raise arbitrable issues under the arbitration clause in the franсhise agreements. However, they argued, among other things, that DAI fraudulently induced the arbitration clause and that DAI waived its right to arbitrate by filing or threatening to file the prior eviction actions.
In November 1994, the district court granted most of DATs petitions to compel arbitration. 4 It rejected the franchisees’ ar *1447 guments that the arbitration agreement was void for lack of mutuality or as a contract of adhesion, that the agreement was unconscionable, and that DAI had waived its right to arbitrate. The court also held that the franchisees’ defense of fraudulent inducement should be decided by the arbitrator. By order dated December 9, 1994, the court enjoined the franchisees from prosecuting their state court actions, in order to effectuate the judgment compelling arbitration, see 28 U.S.C. § 2288.
The franchisees appealed both orders to this court. In September 1995, we issued an opinion (.Distajo T) affirming and reversing in part. We upheld the district court’s rulings (1) that it had subject matter (diversity) jurisdiction, (2) that judgments the franchisees had obtained against DAI in their Illinois and North Carolina state suits were not entitled to preclusive effect, and (3) that the arbitration clause was not void for lack of mutuality. On the other hand, we vacated the district court’s ruling rejecting the franchisees’ waiver defense to arbitration and instructed that on remand the district court should determine whether (1) “the leasing companies were mere alter egos of DAI,” (2) “prosecution of those eviction actions constituted litigation of ‘substantial issues going to the merits,’” and (3) “the franchisees suffered prejudice from the eviction proceedings.” We also held that on remand, the district court — rather than the arbitrator— should determine whether DAI fraudulently induced the arbitration clause. Finally, we vacated the preliminary injunctions.
After the district court conducted further proceedings on remand, it filed opinions on February 14 and March 14, 1996, again granting DATs petitions to compel arbitration. The court held that (1) the franchisees had not submitted sufficient evidentiary facts to entitle them to a jury trial on their defenses to arbitration,
II. Demand for a Jury Trial
The franchisees argue that the district court erred in denying them a jury trial under 9 U.S.C. § 4 on their defenses of fraud, waiver, unconscionability and failure of the contract to meet their reasonable expectations. In February 1996, the district court granted DATs motion to forgo trial and decide these issues as a matter of law, finding that the franchisees had not shown that material facts were in dispute with respect to their defenses of fraud and waiver.
5
Although a party may demand a jury trial when issues • respecting arbitrability are “in issue,” 9 U.S.C. § 4, we have cautioned that “[a] party resisting arbitration ... ‘bears the burden of showing that he is entitled to a jury trial.’”
Stuart,
Even after conducting discovery on their defenses, the franchisees have failed to satisfy this burden. The district court diligently complied with our direction in
Distajo I
that it “consider[ ]” the franchisees’ jury demands.
III. Waiver of the Right to Compel Arbitration
All the franchisees except the Bickels and Kanes argue that DAI waived its right to compel arbitration of their state-court claims based on DATs conduct in connection with prior litigation proceedings. Specifically, DAI obtained judgments of eviction against certain franchisees.
6
We review de novo the issue whether a party waived its right to compel arbitration.
Stuart,
On appeal, the franchisees make an elaborate argument that either Illinois or Connecticut law should apply, or at least “have some significance,” on the waiver issue. However, they apparently waived this choice-of-law argument by not raising it in the district court. In any event, the Supreme Court has held that the FAA creates a “body of federal substantive law of arbitrability, applicable to any arbitration agreement within the coverage of the Act.”
Moses Cone,
We have often stated the general rule that waiver of the right to arbitrate occurs when a party “engages in protracted litigation that results in prejudice to the opposing party.”
Cotton v. Slone,
Initially, we must determine the effect of our opinion in Distajo I on resolution of the franchisees’ waiver arguments. DAI argues on appeal that, in the eviction proceedings, it' did not litigate “substantial issues going to the merits” of the franchisees’ current claims. The franchisees vigorously contend that the doctrine of “law of the case” prevents our reaching this argument because we stated in Distajo I that
[i]f the alleged violаtions of the subleases were premised on violations of the franchise agreement (which DAI was contractually bound to resolve through arbitration) then DAI did litigate substantial issues going to the merits, and the only remaining question will be whether the franchisees suffered prejudice from the eviction proceedings. 9
Distajo I,
We do not believe we are so constrained. The doctrine of “law of the case” instructs that “ ‘if a court decides a rule of law, that decision should continue to govern in subsequent stages of the same case.’ ”
Sagendorf-Teal v. County of Rensselaer,
In
Distajo I,
responding to two issues raised by the district court’s November 1994 order compelling arbitration, we focused on
*1444
(1) the relationship between DAI and the leasing companies that filed the eviction proceedings, and (2) whether the court or the arbitrator should rule on the franchisees’ waiver defense. After a thorough discussion •of the latter issue, we held that the district court should decide whether DAI had waived arbitration.
First, we can easily dispose of the argument that DAI wаived its right to arbitrate claims brought by franchisees against whom DAI never instituted eviction proceedings. In
Stuart,
we held that DAI “obviously” had not waived its right to arbitrate claims brought by franchisees against whom DAI had never instituted ‘“particular eviction proceedings.’ ”
Stuart,
constitute “litigation,” and thus certainly cannot be considered “substantial litigation on the merits” for waiver analysis. Cf.
Lawrence v. Comprehensive Bus. Servs. Co.,
The remaining franchisees’ waiver defenses also fail. We first note that the district court found that DATs eviction actions against certain franchisees (listed above) were dismissed at an early stage, before any adjudication of the merits occurred.
11
In any event, we hold that DAI did not waive its right to arbitrate because in none of the eviction proceedings — even those four actions in which DAI won judgments of eviction — did DAI engage in litigation on the merits of the issues now raised in the franchisees’ state suits. DAI persuasively argues that
[tjhere is no conceivable policy justification for a rule that, by exercising the reasonable business judgment to sue to evict someone from leased premises or to collect a debt of less than $10,000, a party waives for all time its right to arbitrate every other dispute imaginable, including multimillion dollar punitive damage claims of *1443 which the party has no knowledge when it files the eviction action.
Moreover, our prior decisions do not compel a finding of waiver here. If anything, they support the view that only prior litigation of the same legal and factual issues as those the party now wants to arbitrate results in waiver of the right to arbitrate. In
Gilmore v. Shearson/Am. Express, Inc.,
Other circuits seem to agree that waiver can only occur when a party has previously litigated the same claims it now seeks to arbitrate. The Seventh Circuit has held that a franchisor who brought an unlawful detain-er action against its franchisee had not waived its right to arbitrate other claims brought by the franchisee — including breach of contract, failure to pay royalties and advertising fees, and several Lanham Act claims — because the two suits “involved different issues.”
Gingiss Int'l Inc. v. Bormet,
The franchisees apparently argue that even under this rule we should find waiver because their current suits and the eviction actions “aris[e] out of the same core facts, i.e., the franchise agreement and franchise relationship.” We disagree. According to DAI, the eviction actions were simple collection proceedings to ’recover relatively small amounts of unpaid fees and rents under the franchise agreements and subleases. The only issues involved in these disputes pertained to whether (and how much) the franchisees owed DAI. In contrast, the franchisees’ state suits, filed several months to one year after the evictions, allege various violations by DAI of the franchise agreement and attack the validity of the franchise agreement and arbitration clause on a host of different federal and state law grounds. Significantly, the franchisees did not raise these claims as counterclaims in the eviction actions, nor do they now dispute that they owed the fees and/or rents which DAI sought to collect by filing eviction actions. Thus, the district court properly found that “the disputes involved in the eviction actions are not the same as the disputes involved in the franchisees’ state court actions.”
Finally, the franchisees argue strenuously that they suffered various types of prejudice from these evictions, including the legal expense of defending the actions, the risk of losing their entire investment in their franchises and, for some of the franchisees, the money judgments or actual loss of their stores. Strictly speaking, in view of our holding above, it is not necessary for us to decide whether the franchisees suffered prejudice from being subject to these eviction actions. It is nevertheless clear to us that *1442 they did not suffer the type of prejudice that supports a finding of waiver.
We do not overlook the fact that several franchisees lost their entire investments in their franchises as a result of the judgments of possession DAI obtained. However, prejudice as defined by our cases refers to the inherent unfairness — in terms of delay, expense, or damage to a party’s legal position — that occurs when the party’s opponent forces it to litigate an issue and later seeks to arbitrate that same issue. Stated in these terms, the franchisees have not shown any prejudice warranting a finding of waiver. First, the franchisees admit that DAI did not delay in moving to compel arbitration of their present claims in state court.
On these facts, we hold that DAI did not waive its right to compel arbitration of the franchisees’ claims.
IV. Fraudulent Inducement of the Arbitration Agreement
The franchisees argue that the district court erred in rejecting, as a matter of law, their defense that DAI fraudulently induced them to accept the arbitration clause. Specifically, they claim that DAI (1) falsely represented in its offering circulars and franchise agreements that arbitration is a “condition precedent” to litigation, and (2) concealed the material fact thаt DAI “controls” its franchisees by instructing its as-setless leasing companies to threaten or institute eviction proceedings. The district court found — even after considering the franchisees’ last-minute affidavits — that there were no material issues of fact in dispute, and held that the franchisees had not “offered evidence from which it could be found” that DAI had made any false representations that induced their agreement to arbitrate.
It is clear that a court, not an arbitrator, resolves a claim that an arbitration clause— as opposed to the contract as a whole — was fraudulently induced.
Distajo I,
The franchisees maintain that we should apply Illinois law on fraudulent inducement. The district court applied Connecticut law pursuant to the choice-of-law clause in most of the relevant franchise agreements. It noted with respect to certain franchisees, whose contracts designated Florida or Illinois law as controlling, that DAI claimed, “without contradiction, that Florida and Illinois law do[] not differ” from Connecticut law on fraudulent inducement.
It is well-settled under Connecticut law that to prove fraudulent inducement, a party must show “(1) that a false representation was made as a statement of fact; (2) that it was untrue and known to be untruе by the party making it; (3) that it was made to induce the other party to act on it; and (4) that the latter did so act on it to his injury.”
Stuart,
The district court made identical factual findings in this case with respect to the franchisees’ access to copies of the frаnchise agreement and sublease and the contents of those documents. It concluded that “[a]t most, [the franchisees] lacked understanding of the ramifications of two documents which they had ample opportunity to read and understand _ They cannot hold DAI as misrepresenting what is plainly stated in the documents nor the legal ramifications thereof.”
On this record, we too “find that the district court properly held, as a matter of law, that DAI did not fraudulently induce [the franchisees] into signing the agreement to arbitrate.” Id.
V. Unconscionability and Failure of the Contract to Meet the Parties’ Reasonable Expectations
The franchisees argue that issues of fact remain with respect to their defenses that the arbitration clause is void and unenforceable because it is (1) unconscionable, and (2) fails to meet their reasonable contraсtual expectations, see Restatement (Second) of Contracts § 211. In their answers in the district court, most of which were filed in October 1994, the franchisees alleged that the franchise agreement was an adhesion contract that effectively forced them to arbitrate dis-' putes under the agreement, yet allowed DAI to resolve such disputes through eviction proceedings. They also complained that the contract did not mention the alleged “excessive” costs of arbitration. Id.
The franchisees waived this argument by not raising it in the district court in their papers opposing DATs motion, filed in February 1996, to forgo trial and receive judgment as a matter of law on all defenses to arbitration. In any event, the franchisees’ claims are meritless. They urge us to “remain attuned to well-supported claims that the agreement to arbitrate resulted from thе sort of fraud or overwhelming economic power that would provide grounds ‘for the revocation of any contract.’ ”
Mitsubishi Motors Corp. v. Soler Chrysler-Plymouth, Inc.,
VI. Imposing Preliminary Injunctions Without Requiring a Bond
The franchisees argue that the district court abused its discretion by issuing preliminary injunctions in January and March 1996, without requiring DAI to post bonds pursuant to Fed.R.Civ.P. 65(c). In January 1996, after our remand in
Distajo I,
the district court enjoined the franchisees from prosecuting their state cases, finding that this relief was “necessary in aid of’ federal jurisdiction.
Rule 65(c) states, in relevant part, that
[n]o restraining order or preliminary injunction shall issue except upon the giving of security by the applicant, in such sum as the court deems proper, for the payment of such costs and damages as may be incurred or suffered by any party who is found to have been wrongfully enjoined or restrained.
Id.
In
Stuart,
we flatly rejected an identical argument that the district court should have required such a bond. Rule 65(c) gives the district court wide discretion to set the amount of a bond, and even to dispense with the bond requirement “where there has been no proof of likelihood of harm, or where the injunctive order was issued ‘to aid and preserve the court’s jurisdiction over the subject matter involved.’”
Stuart,
VII. Personal Jurisdiction over the Kanchwala Franchisees
The Kanchwala franchisees argue that the district court did not have personal jurisdiction over them. They allege that DAI violated 9 U.S.C. § 4 and Fed.R.Civ.P. 4(c) and 4(e)(1) by serving the Kanchwalas by mailing a copy of the summons and complaint to Mr. Duree, their attorney, instead of personally serving them. The Kanchwala franchisees also claim that the district court did not have personal jurisdiction and venue “by contract” because the validity of the arbitration contract was in dispute. They base this argument on the fact that in October 1995 an Illinois court held that the arbitration clause in the Kanchwalas’ franchise agreement was void and unenforceable. Finally, they argue that “at the very least” the district court should have held a hearing under Fed.R.Civ.P. 12(d) to determine personal jurisdiction.
By not raising these issues in their papers filed in opposition to DATs motion for judgment as a matter of law and by failing to request in the district court a hearing under Rule 12(d), the Kanchwalas consented to рersonal jurisdiction. In any event, faced with identical arguments in
Stuart,
we applied the long-standing principle that a party who agrees to arbitrate in a state (such as Connecticut) in which the FAA makes arbitration agreements enforceable also consents to jurisdiction in whatever court could compel arbitration in that state.
Stuart,
VIII. Rooker-Feldman Doctrine
The franchisees argue, for the first time on appeal, that the district court lacked subject matter jurisdiction under the Rook-er-Feldman doctrine to order them to arbitrate and to enjoin them from prosecuting their state suits. They contend that DATs petitions to compel arbitration represent impermissible attempts to “avoid” judgments the, franchisees obtained in Illinois state court.
After DAI filed petitions in the district court to compel arbitration, two Illinois courts issued orders granting summary judg *1439 ment to certain franchisees. Shino v. Doctor’s Associates, Inc., No. 93-L-1293 (Cir. Ct. Madison County, Oct. 24, 1994); Kanchwala v. Doctor’s Associates, Inc., No. 95-L1292 (Cir. Ct. Madison County, Oct. 13, 1995). The Illinois courts held that DAI waived its right to arbitrate claims by those franchisees against whom DAI had filed eviction actions. The courts also held that the arbitration clauses in the franchise agreements were void and unenforceable because they (1) were unconscionable, (2) failed to meet the parties’ reasonable contractual expectations, and (3) lacked mutuality.
Some explanation of the tangled proceedings in the Bickel case is necessary. In December 1994, the Bickels filed an action against DAI in the Circuit Court of Madison County, Illinois, alleging fraud and various breaches of the franchise agreement and seeking a declaration that the arbitration clause was unenforceable. In mid-January 1995, DAI promptly filed both a demand with the AAA for arbitration of the Bickels’ claims and its present petition to compel arbitration. Because DAI did not appear in the Illinois action, the Bickels moved for and оbtained from the Illinois court on February 7,1995, a default judgment against DAI. That court scheduled a damage hearing for April.
Only days later, on February 13, the district court granted DATs petition to compel arbitration of the Bickels’ claims, and entered a preliminary injunction by endorsement enjoining the Bickels from further prosecuting their Illinois suit. In September 1995, in
Distajo I,
we reversed the district court’s order compelling arbitration and vacated the preliminary injunction.
Distajo I,
Thereafter, on December 5, 1995, the district court entered a temporary restraining order (TRO), again enjoining the Bickels from prosecuting their state suit. The Bick-els admit that they did not advise the Illinois court of this TRO. Consequently, on December 6, 1995, stating that it had been “advised” that our decision in Distajo I lifted the injunction against the Bickels, the Illinois court awarded the Bickels $400,000 in damages. The Bickels now argue that this $400,-000 state court judgment strips the district court of subject matter jurisdiction to entertain DATs petition to compel arbitration.
A challenge to a federal court’s subject matter jurisdiction under the
Rooker-Feld-man
doctrine “may be raised at any time by either party or
sua sponte
by the court.”
Moccio v. New York State Office of Court Admin.,
DAI complains that the franchisees’
Rook-er-Feldman
argument merely restates their argument on appeal in
Distajo I
that the district court should have given preclusive effect to state court judgments holding the franchise agreements to be void and unenforceable. We rejected that argument because the Illinois judgments were not final under that state’s rule until the time for appeal had expired, and therefore not entitled to preclusive effect.
Distajo I,
Nevertheless, we cannot dismiss the franchisees’
Rooker-Feldman
argument based on the preclusion analysis applied in
Distajo I.
We did recently hold that the
Rooker-Feld-man
doctrine “at a minimum” is coextensive with preclusion principles.
Moccio,
Nevertheless, we hold that the
Rooker-Feldman
rationale does not bar jurisdiction over DATs petitions to compel arbitration. We cannot say that DAI is attempting to appeal from any of the state court decisions. See
GASH Assoc. v. Village of Rosemont,
IX. Abstention
The Bickels argue that, in view of the $400,000 Illinois state court judgment described above, the district court abused its discretion by not abstaining from exercising jurisdiction over DATs petition to compel arbitration. The district court observed that this argument was a “slightly modified version” of the Bickels’ unsuccessful argument that the district court was precluded from exercising jurisdiction by reason of the Illinois court’s judgment.
We review a district court’s decision
not
to abstain for abuse of discretion.
Tribune Co. v. Abiola,
The franchisees have failed to articulate any persuasive reason why abstention would be proper in this case. Certainly, as the district court found, the Illinois default judgment, entered without an evidentiary hearing, does not constitute a “substantial” state proceeding warranting abstention under
Moses Cone.
See
*1437 X. Conclusion
We have considered all of the franchisees’ arguments, and they are without merit. We affirm the judgment of the district court.
Notes
. This appeal involves numerous individual cases, each brought by the franchisees from a particular Subway store: Doctor's Associates, Inc. v. Distajo, No. 3:94-CV-349; Doctor's Associates, Inc. v. Drenes, No. 3:94-CV-511; Doctor's Associates, Inc. v. Guerrero, No. 3:94-CV-514; Doctor's Associates, Inc. v. Youmaran, No. 3:94-CV-515; Doctor’s Associates, Inc. v. Shino, No. 3:94-CV-516; Doctor's Associates, Inc. v. Loen-necice, No. 3:94-CV-517; Doctor’s Associates, Inc. v. Johnson, No. 3:94 — CV-803; Doctor’s Associates, Inc. v. Kane, No. 3:94-CV-948; Doctor's Associates, Inc. v. Gianinni, No. 3:94-CV-l 108; Doctor’s Associates, Inc. v. Rothmund, No. 3:94-CV-1456; Doctor’s Associates, Inc. v. Papaleo, No. 3:94-CV-1457; Doctor's Associates, Inc. v. Bickel, No. 95-CV-120; Doctor's Associates, Inc. v. Kanchwala, No. 95-CV-1915.
. The clause provides, in relevant part, that:
[a]ny controversy or claim arising out of or relating to this contract or the breach thereof shall be settled by Arbitration in accordance with the Commercial Arbitration Rules of the American Arbitration Association at a hearing to be held in Bridgeport, Connecticut, and judgment upon an award rendered by the Arbitrator(s) may be entered in any court having jurisdiction thereof. The commencement of arbitration proceedings by an aggrieved party to settle disputes arising out of or relating to this contract is a condition precedent to the commencement of legal action by either party....
. The sublease provides, in relevant part, that:
If at any time during the term of this Sublease, Sublessee shall default in the performance of any of the terms, covenants or conditions of the aforesaid Franchise Agreement ... Sublessor, at its option, may terminate this lease ... and upon such termination, Sublessee shall quit and surrender the leased premises to the Sublessor, but Sublessee shall remain liable for the balance of the rent due as provided in this Sublease.
. The district court granted DATs petitions to compel arbitration of claims brought by the Bick-els and Kanchwalas in February 1995 and March 1996, respectively.
. As discussed in Part V below, the franchisees did not submit the issues of unconscionability and failure of the contract to meet their expectations to the district court at that time.
. Jose Brenes, Wesam and Linda Youmaran, Ronald and Patricia Rothmund, and Michael and Anver Kanchwala and Azim Hemani.
. Emily and Renato Distajo and Constantine and Milo Lamando, Alvaro and Maria Guerrero, Bruno Giannini, and John Papaleo. DAI dismissed the action against Paрaleo, who abandoned his store and ceased operation as a Subway franchisee for financial reasons while the eviction action was pending.
.Julie and Johnson Shino and Albert and Laylan Yonan, Louis Loenneke and Maty Ann Bookout, Michael Johnson, Gregory and Deborah Kane, and Raymond and Sandra Bickel.
. Except with respect to the Kanchwalas, both parties agree that the eviction actions were premised, at least in part, on violations of the franchise agreements. We also held in
Distajo I
that waiver could only apply if "DAI was responsible for the eviction proceedings” brought by its leasing companies.
. We note that this panel includes a member of the panel in Distajo I.
. The district court found that in the eviction action against the Kanchwala defendants, DAI claimed only unpaid rent due under the sublease, a nonarbitrable issue.
